Compare commits
No commits in common. "843b30f5d3d1651a2335066988307f470954cc29" and "f100f21162d02ae618aded11e5949cddd6e77731" have entirely different histories.
843b30f5d3
...
f100f21162
|
@ -4,9 +4,8 @@ from machine import I2C, Pin
|
||||||
|
|
||||||
import d1motor
|
import d1motor
|
||||||
|
|
||||||
import utime
|
import time
|
||||||
import usocket
|
import usocket
|
||||||
import uselect
|
|
||||||
import esp
|
import esp
|
||||||
|
|
||||||
class Robot:
|
class Robot:
|
||||||
|
@ -33,12 +32,6 @@ class Robot:
|
||||||
# setup socket for remote control
|
# setup socket for remote control
|
||||||
self.addr = usocket.getaddrinfo(ip, 1234)[0][-1]
|
self.addr = usocket.getaddrinfo(ip, 1234)[0][-1]
|
||||||
|
|
||||||
self.poller = uselect.poll()
|
|
||||||
self.poller_timeout = 2 # timeout in ms
|
|
||||||
|
|
||||||
self.control_queue = []
|
|
||||||
|
|
||||||
|
|
||||||
def remote_control(self):
|
def remote_control(self):
|
||||||
while True:
|
while True:
|
||||||
print("setting up socket communication ...")
|
print("setting up socket communication ...")
|
||||||
|
@ -52,69 +45,18 @@ class Robot:
|
||||||
socket_setup_complete = True
|
socket_setup_complete = True
|
||||||
except Exception as e:
|
except Exception as e:
|
||||||
print("could not create socket. error msg: {}\nwaiting 1 sec and retrying...".format(e))
|
print("could not create socket. error msg: {}\nwaiting 1 sec and retrying...".format(e))
|
||||||
utime.sleep(1.0)
|
time.sleep(1.0)
|
||||||
|
|
||||||
print("waiting for connections on {} ...".format(self.addr))
|
print("waiting for connections on {} ...".format(self.addr))
|
||||||
socket.listen(1)
|
socket.listen(1)
|
||||||
res = socket.accept() # this blocks until someone connects to the socket
|
res = socket.accept() # this blocks until someone connects to the socket
|
||||||
comm_socket = res[0]
|
comm_socket = res[0]
|
||||||
self.poller.register(comm_socket, uselect.POLLIN)
|
|
||||||
print("connected!")
|
print("connected!")
|
||||||
listening = True
|
listening = True
|
||||||
|
|
||||||
duration_current = 0
|
|
||||||
t_current = utime.ticks_ms()
|
|
||||||
duration_next = None
|
|
||||||
stopped = True
|
|
||||||
timeouts = 0
|
|
||||||
while listening:
|
while listening:
|
||||||
elapsed = utime.ticks_ms()
|
# expected data: '(u1, u2)'\n"
|
||||||
remaining = duration_current - (elapsed-t_current)
|
|
||||||
if remaining >= 0:
|
|
||||||
timeouts = 0
|
|
||||||
print("start of loop\n I have {} ms until next control needs to be applied".format(remaining))
|
|
||||||
else:
|
|
||||||
# current control timed out -> applying next control
|
|
||||||
if len(self.control_queue) > 0:
|
|
||||||
print("previous control applied for {} ms too long".format(elapsed - t_current - duration_current))
|
|
||||||
u_next = self.control_queue.pop(0)
|
|
||||||
#print("duration of previous control = {}".format((elapsed - t_current)/1000.0))
|
|
||||||
#print("applying new control (duration, u1, u2) = ({}, {}, {})".format(duration_next, u1_next, u2_next))
|
|
||||||
# if so, apply it
|
|
||||||
self.m1.speed(u_next[0])
|
|
||||||
self.m2.speed(u_next[1])
|
|
||||||
|
|
||||||
t_current = utime.ticks_ms()
|
|
||||||
duration_current = duration_next
|
|
||||||
|
|
||||||
stopped = False
|
|
||||||
elif not stopped:
|
|
||||||
print("previous control applied for {} ms too long".format(elapsed - t_current - duration_current))
|
|
||||||
#print("duration of previous control = {}".format((elapsed - t_current)/1000.0))
|
|
||||||
# no new control available -> shutdown
|
|
||||||
print("no new control available -> stopping")
|
|
||||||
|
|
||||||
self.m1.speed(0)
|
|
||||||
self.m2.speed(0)
|
|
||||||
|
|
||||||
t_current = utime.ticks_ms()
|
|
||||||
duration_current = 0 # as soon as new control will become available we directly want to apply it immediately
|
|
||||||
|
|
||||||
stopped = True
|
|
||||||
|
|
||||||
#elif timeouts < 10:
|
|
||||||
# print("start of loop\n I have {} ms until next control needs to be applied, timeouts = {}".format(remaining, timeouts))
|
|
||||||
# timeouts = timeouts + 1
|
|
||||||
|
|
||||||
trecv_start = utime.ticks_ms()
|
|
||||||
|
|
||||||
# expected data: '(t, u1_0, u2_0, u1_1, u2_1, ...)'\n"
|
|
||||||
# where ui = control for motor i
|
# where ui = control for motor i
|
||||||
# ui \in [-1.0, 1.0]
|
# ui \in [-1.0, 1.0]
|
||||||
#print("poller waiting..")
|
|
||||||
poll_res = self.poller.poll(self.poller_timeout) # wait 100 milliseconds for socket data
|
|
||||||
if poll_res:
|
|
||||||
print("new data available")
|
|
||||||
try:
|
try:
|
||||||
data = comm_socket.readline()
|
data = comm_socket.readline()
|
||||||
data_str = data.decode()
|
data_str = data.decode()
|
||||||
|
@ -122,54 +64,36 @@ class Robot:
|
||||||
#print("processing data = {}".format(data_str))
|
#print("processing data = {}".format(data_str))
|
||||||
l = data_str.strip('()\n').split(',')
|
l = data_str.strip('()\n').split(',')
|
||||||
#print("l = {}".format(l))
|
#print("l = {}".format(l))
|
||||||
duration_next = int(float(l[0])*1000)
|
u1 = int(float(l[0])*100)
|
||||||
#print("duration = {}".format(duration_next))
|
#print("u1 = {}".format(u1))
|
||||||
self.control_queue = []
|
u2 = int(float(l[1])*100)
|
||||||
print("putting data into queue")
|
#print("u2 = {}".format(u2))
|
||||||
for i in range((len(l)-1)/2):
|
|
||||||
u1_next = int(float(l[2*i+1])*100)
|
|
||||||
print("u1 = {}".format(u1_next))
|
|
||||||
u2_next = int(float(l[2*i+2])*100)
|
|
||||||
print("u2 = {}".format(u2_next))
|
|
||||||
self.control_queue.append((u1_next, u2_next))
|
|
||||||
except ValueError:
|
except ValueError:
|
||||||
print("ValueError: Data has wrong format.")
|
print("ValueError: Data has wrong format.")
|
||||||
print("Data received: {}".format(data_str))
|
print("Data received: {}".format(data_str))
|
||||||
print("Shutting down ...")
|
print("Shutting down ...")
|
||||||
self.control_queue = []
|
u1 = u2 = 0
|
||||||
duration_current = 0
|
|
||||||
listening = False
|
listening = False
|
||||||
comm_socket.close()
|
|
||||||
socket.close()
|
|
||||||
del comm_socket
|
|
||||||
del socket
|
|
||||||
print("disconnected!")
|
|
||||||
except IndexError:
|
except IndexError:
|
||||||
print("IndexError: Data has wrong format.")
|
print("IndexError: Data has wrong format.")
|
||||||
print("Data received: {}".format(data_str))
|
print("Data received: {}".format(data_str))
|
||||||
print("Shutting down ...")
|
print("Shutting down ...")
|
||||||
self.control_queue = []
|
u1 = u2 = 0
|
||||||
duration_current = 0
|
|
||||||
listening = False
|
listening = False
|
||||||
comm_socket.close()
|
|
||||||
socket.close()
|
|
||||||
del comm_socket
|
|
||||||
del socket
|
|
||||||
print("disconnected!")
|
|
||||||
except Exception as e:
|
except Exception as e:
|
||||||
print("Some other error occured")
|
print("Some other error occured")
|
||||||
print("Exception: {}".format(e))
|
print("Exception: {}".format(e))
|
||||||
print("Shutting down ...")
|
print("Shutting down ...")
|
||||||
self.control_queue = []
|
u1 = u2 = 0
|
||||||
duration_current = 0
|
|
||||||
listening = False
|
listening = False
|
||||||
|
finally:
|
||||||
|
self.m1.speed(u1)
|
||||||
|
self.m2.speed(u2)
|
||||||
comm_socket.close()
|
comm_socket.close()
|
||||||
socket.close()
|
socket.close()
|
||||||
del comm_socket
|
del comm_socket
|
||||||
del socket
|
del socket
|
||||||
print("disconnected!")
|
print("disconnected!")
|
||||||
trecv_end = utime.ticks_ms()
|
|
||||||
print("communication (incl. polling) took {} ms".format(trecv_end - trecv_start))
|
|
||||||
|
|
||||||
wall_e = Robot()
|
wall_e = Robot()
|
||||||
wall_e.remote_control()
|
wall_e.remote_control()
|
||||||
|
|
|
@ -1,17 +1,13 @@
|
||||||
from casadi import *
|
from casadi import *
|
||||||
import time
|
|
||||||
|
|
||||||
# look at: https://github.com/casadi/casadi/blob/master/docs/examples/python/vdp_indirect_multiple_shooting.py
|
# look at: https://github.com/casadi/casadi/blob/master/docs/examples/python/vdp_indirect_multiple_shooting.py
|
||||||
|
|
||||||
class OpenLoopSolver:
|
class OpenLoopSolver:
|
||||||
def __init__(self, N=10, T=2.0):
|
def __init__(self, N=60, T=6.0):
|
||||||
self.T = T
|
self.T = T
|
||||||
self.N = N
|
self.N = N
|
||||||
|
|
||||||
self.opti_x0 = None
|
def solve(self, x0):
|
||||||
self.opti_lam_g0 = None
|
|
||||||
|
|
||||||
def setup(self):
|
|
||||||
x = SX.sym('x')
|
x = SX.sym('x')
|
||||||
y = SX.sym('y')
|
y = SX.sym('y')
|
||||||
theta = SX.sym('theta')
|
theta = SX.sym('theta')
|
||||||
|
@ -19,32 +15,29 @@ class OpenLoopSolver:
|
||||||
r = 0.03
|
r = 0.03
|
||||||
R = 0.05
|
R = 0.05
|
||||||
d = 0.02
|
d = 0.02
|
||||||
#omega_max = 13.32
|
|
||||||
omega_max = 10.0
|
|
||||||
|
|
||||||
omegar = SX.sym('omegar')
|
omegar = SX.sym('omegar')
|
||||||
omegal = SX.sym('omegal')
|
omegal = SX.sym('omegal')
|
||||||
control = vertcat(omegar, omegal)
|
control = vertcat(omegar, omegal)
|
||||||
|
|
||||||
# model equation
|
# model equation
|
||||||
f1 = (r / 2 * cos(theta) - r * d / (2 * R) * sin(theta)) * omegar * omega_max + (r / 2 * cos(theta) + r * d / (2 * R) * sin(
|
f1 = (r / 2 * cos(theta) - r * d / (2 * R) * sin(theta)) * omegar + (r / 2 * cos(theta) + r * d / (2 * R) * sin(
|
||||||
theta)) * omegal * omega_max
|
theta)) * omegal
|
||||||
f2 = (r / 2 * sin(theta) + r * d / (2 * R) * cos(theta)) * omegar * omega_max + (r / 2 * sin(theta) - r * d / (2 * R) * cos(
|
f2 = (r / 2 * sin(theta) + r * d / (2 * R) * cos(theta)) * omegar + (r / 2 * sin(theta) - r * d / (2 * R) * cos(
|
||||||
theta)) * omegal * omega_max
|
theta)) * omegal
|
||||||
f3 = -(r / (2 * R) * omegar - r / (2 * R) * omegal) * omega_max
|
f3 = r / (2 * R) * omegar - r / (2 * R) * omegal
|
||||||
xdot = vertcat(f1, f2, f3)
|
xdot = vertcat(f1, f2, f3)
|
||||||
f = Function('f', [x, y, theta, omegar, omegal], [f1, f2, f3])
|
f = Function('f', [x, y, theta, omegar, omegal], [f1, f2, f3])
|
||||||
print("f = {}".format(f))
|
print("f = {}".format(f))
|
||||||
|
|
||||||
# cost functional
|
# cost functional
|
||||||
target = (-0.0, 0.0)
|
L = x ** 2 + y ** 2 + 1e-2 * theta ** 2 + 1e-4 * (omegar ** 2 + omegal ** 2)
|
||||||
L = (x-target[0]) ** 2 + (y-target[1]) ** 2 + 1e-2 * theta ** 2 + 1e-2 * (omegar ** 2 + omegal ** 2)
|
|
||||||
|
|
||||||
# Fixed step Runge-Kutta 4 integrator
|
# Fixed step Runge-Kutta 4 integrator
|
||||||
M = 4 # RK4 steps per interval
|
M = 4 # RK4 steps per interval
|
||||||
DT = self.T / self.N / M
|
DT = self.T / self.N / M
|
||||||
print("DT = {}".format(DT))
|
print("DT = {}".format(DT))
|
||||||
self.f = Function('f', [state, control], [xdot, L])
|
f = Function('f', [state, control], [xdot, L])
|
||||||
X0 = MX.sym('X0', 3)
|
X0 = MX.sym('X0', 3)
|
||||||
U = MX.sym('U', 2)
|
U = MX.sym('U', 2)
|
||||||
X = X0
|
X = X0
|
||||||
|
@ -52,10 +45,10 @@ class OpenLoopSolver:
|
||||||
runge_kutta = True
|
runge_kutta = True
|
||||||
if runge_kutta:
|
if runge_kutta:
|
||||||
for j in range(M):
|
for j in range(M):
|
||||||
k1, k1_q = self.f(X, U)
|
k1, k1_q = f(X, U)
|
||||||
k2, k2_q = self.f(X + DT / 2 * k1, U)
|
k2, k2_q = f(X + DT / 2 * k1, U)
|
||||||
k3, k3_q = self.f(X + DT / 2 * k2, U)
|
k3, k3_q = f(X + DT / 2 * k2, U)
|
||||||
k4, k4_q = self.f(X + DT * k3, U)
|
k4, k4_q = f(X + DT * k3, U)
|
||||||
X = X + DT / 6 * (k1 + 2 * k2 + 2 * k3 + k4)
|
X = X + DT / 6 * (k1 + 2 * k2 + 2 * k3 + k4)
|
||||||
Q = Q + DT / 6 * (k1_q + 2 * k2_q + 2 * k3_q + k4_q)
|
Q = Q + DT / 6 * (k1_q + 2 * k2_q + 2 * k3_q + k4_q)
|
||||||
else:
|
else:
|
||||||
|
@ -82,38 +75,37 @@ class OpenLoopSolver:
|
||||||
ubg = []
|
ubg = []
|
||||||
|
|
||||||
# Formulate the NLP
|
# Formulate the NLP
|
||||||
# Xk = MX(x0)
|
Xk = MX(x0)
|
||||||
# for k in range(self.N):
|
for k in range(self.N):
|
||||||
# # New NLP variable for the control
|
# New NLP variable for the control
|
||||||
# U1k = MX.sym('U1_' + str(k), 2)
|
U1k = MX.sym('U1_' + str(k), 2)
|
||||||
# # U2k = MX.sym('U2_' + str(k))
|
# U2k = MX.sym('U2_' + str(k))
|
||||||
# w += [U1k]
|
w += [U1k]
|
||||||
# lbw += [-0.5, -0.5]
|
lbw += [-10, -10]
|
||||||
# ubw += [0.5, 0.5]
|
ubw += [10, 10]
|
||||||
# w0 += [0, 0]
|
w0 += [0, 0]
|
||||||
#
|
|
||||||
# # Integrate till the end of the interval
|
# Integrate till the end of the interval
|
||||||
# Fk = F(x0=Xk, p=U1k)
|
Fk = F(x0=Xk, p=U1k)
|
||||||
# Xk = Fk['xf']
|
Xk = Fk['xf']
|
||||||
# J = J + Fk['qf']
|
J = J + Fk['qf']
|
||||||
#
|
|
||||||
# # Add inequality constraint
|
# Add inequality constraint
|
||||||
# # g += [Xk[1]]
|
# g += [Xk[1]]
|
||||||
# # lbg += [-.0]
|
# lbg += [-.0]
|
||||||
# # ubg += [inf]
|
# ubg += [inf]
|
||||||
#
|
|
||||||
# # Create an NLP solver
|
# Create an NLP solver
|
||||||
# prob = {'f': J, 'x': vertcat(*w), 'g': vertcat(*g)}
|
prob = {'f': J, 'x': vertcat(*w), 'g': vertcat(*g)}
|
||||||
# self.solver = nlpsol('solver', 'ipopt', prob)
|
self.solver = nlpsol('solver', 'ipopt', prob)
|
||||||
|
|
||||||
# Solve the NLP
|
# Solve the NLP
|
||||||
if False:
|
|
||||||
sol = self.solver(x0=w0, lbx=lbw, ubx=ubw, lbg=lbg, ubg=ubg)
|
sol = self.solver(x0=w0, lbx=lbw, ubx=ubw, lbg=lbg, ubg=ubg)
|
||||||
w_opt = sol['x']
|
w_opt = sol['x']
|
||||||
|
|
||||||
# Plot the solution
|
# Plot the solution
|
||||||
u_opt = w_opt
|
u_opt = w_opt
|
||||||
x_opt = [self.x0]
|
x_opt = [x0]
|
||||||
for k in range(self.N):
|
for k in range(self.N):
|
||||||
Fk = F(x0=x_opt[-1], p=u_opt[2*k:2*k+2])
|
Fk = F(x0=x_opt[-1], p=u_opt[2*k:2*k+2])
|
||||||
x_opt += [Fk['xf'].full()]
|
x_opt += [Fk['xf'].full()]
|
||||||
|
@ -122,145 +114,88 @@ class OpenLoopSolver:
|
||||||
x3_opt = [r[2] for r in x_opt]
|
x3_opt = [r[2] for r in x_opt]
|
||||||
|
|
||||||
tgrid = [self.T/self.N*k for k in range(self.N+1)]
|
tgrid = [self.T/self.N*k for k in range(self.N+1)]
|
||||||
#import matplotlib.pyplot as plt
|
import matplotlib.pyplot as plt
|
||||||
#plt.figure(2)
|
plt.figure(2)
|
||||||
#plt.clf()
|
plt.clf()
|
||||||
#plt.plot(tgrid, x1_opt, '--')
|
plt.plot(tgrid, x1_opt, '--')
|
||||||
#plt.plot(tgrid, x2_opt, '-')
|
plt.plot(tgrid, x2_opt, '-')
|
||||||
#plt.plot(tgrid, x3_opt, '*')
|
plt.plot(tgrid, x3_opt, '*')
|
||||||
#plt.step(tgrid, vertcat(DM.nan(1), u_opt), '-.')
|
#plt.step(tgrid, vertcat(DM.nan(1), u_opt), '-.')
|
||||||
#plt.xlabel('t')
|
plt.xlabel('t')
|
||||||
#plt.legend(['x1','x2','x3','u'])
|
plt.legend(['x1','x2','x3','u'])
|
||||||
#plt.grid()
|
plt.grid()
|
||||||
#plt.show()
|
#plt.show()
|
||||||
#return
|
#return
|
||||||
|
|
||||||
# alternative solution using multiple shooting (way faster!)
|
# alternative solution using multiple shooting (way faster!)
|
||||||
self.opti = Opti() # Optimization problem
|
opti = Opti() # Optimization problem
|
||||||
|
|
||||||
# ---- decision variables ---------
|
# ---- decision variables ---------
|
||||||
self.X = self.opti.variable(3,self.N+1) # state trajectory
|
X = opti.variable(3,self.N+1) # state trajectory
|
||||||
self.Q = self.opti.variable(1,self.N+1) # state trajectory
|
Q = opti.variable(1,self.N+1) # state trajectory
|
||||||
|
posx = X[0,:]
|
||||||
self.U = self.opti.variable(2,self.N) # control trajectory (throttle)
|
posy = X[1,:]
|
||||||
#T = self.opti.variable() # final time
|
angle = X[2,:]
|
||||||
|
U = opti.variable(2,self.N) # control trajectory (throttle)
|
||||||
|
#T = opti.variable() # final time
|
||||||
|
|
||||||
# ---- objective ---------
|
# ---- objective ---------
|
||||||
#self.opti.minimize(T) # race in minimal time
|
#opti.minimize(T) # race in minimal time
|
||||||
|
|
||||||
# ---- dynamic constraints --------
|
# ---- dynamic constraints --------
|
||||||
#f = lambda x,u: vertcat(f1, f2, f3) # dx/dt = f(x,u)
|
#f = lambda x,u: vertcat(f1, f2, f3) # dx/dt = f(x,u)
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
# ---- initial values for solver ---
|
|
||||||
#self.opti.set_initial(speed, 1)
|
|
||||||
#self.opti.set_initial(T, 1)
|
|
||||||
|
|
||||||
|
|
||||||
def solve(self, x0, target):
|
|
||||||
|
|
||||||
tstart = time.time()
|
|
||||||
x = SX.sym('x')
|
|
||||||
y = SX.sym('y')
|
|
||||||
theta = SX.sym('theta')
|
|
||||||
state = vertcat(x, y, theta)
|
|
||||||
r = 0.03
|
|
||||||
R = 0.05
|
|
||||||
d = 0.02
|
|
||||||
omega_max = 13.32
|
|
||||||
|
|
||||||
omegar = SX.sym('omegar')
|
|
||||||
omegal = SX.sym('omegal')
|
|
||||||
control = vertcat(omegar, omegal)
|
|
||||||
|
|
||||||
# model equation
|
|
||||||
f1 = (r / 2 * cos(theta) - r * d / (2 * R) * sin(theta)) * omegar * omega_max + (r / 2 * cos(theta) + r * d / (
|
|
||||||
2 * R) * sin(
|
|
||||||
theta)) * omegal * omega_max
|
|
||||||
f2 = (r / 2 * sin(theta) + r * d / (2 * R) * cos(theta)) * omegar * omega_max + (r / 2 * sin(theta) - r * d / (
|
|
||||||
2 * R) * cos(
|
|
||||||
theta)) * omegal * omega_max
|
|
||||||
f3 = -(r / (2 * R) * omegar - r / (2 * R) * omegal) * omega_max
|
|
||||||
xdot = vertcat(f1, f2, f3)
|
|
||||||
L = (x - target[0]) ** 2 + (y - target[1]) ** 2 + 1e-2 * (theta - target[2]) ** 2 + 1e-2 * (omegar ** 2 + omegal ** 2)
|
|
||||||
self.f = Function('f', [state, control], [xdot, L])
|
|
||||||
# ---- solve NLP ------
|
|
||||||
|
|
||||||
# set numerical backend
|
|
||||||
|
|
||||||
|
|
||||||
# delete constraints
|
|
||||||
self.opti.subject_to()
|
|
||||||
|
|
||||||
# add new constraints
|
|
||||||
dt = self.T/self.N # length of a control interval
|
dt = self.T/self.N # length of a control interval
|
||||||
for k in range(self.N): # loop over control intervals
|
for k in range(self.N): # loop over control intervals
|
||||||
# Runge-Kutta 4 integration
|
# Runge-Kutta 4 integration
|
||||||
k1, k1_q = self.f(self.X[:, k], self.U[:, k])
|
k1, k1_q = f(X[:,k], U[:,k])
|
||||||
k2, k2_q = self.f(self.X[:, k] + dt / 2 * k1, self.U[:, k])
|
k2, k2_q = f(X[:,k]+dt/2*k1, U[:,k])
|
||||||
k3, k3_q = self.f(self.X[:, k] + dt / 2 * k2, self.U[:, k])
|
k3, k3_q = f(X[:,k]+dt/2*k2, U[:,k])
|
||||||
k4, k4_q = self.f(self.X[:, k] + dt * k3, self.U[:, k])
|
k4, k4_q = f(X[:,k]+dt*k3, U[:,k])
|
||||||
x_next = self.X[:, k] + dt / 6 * (k1 + 2 * k2 + 2 * k3 + k4)
|
x_next = X[:,k] + dt/6*(k1+2*k2+2*k3+k4)
|
||||||
q_next = self.Q[:, k] + dt / 6 * (k1_q + 2 * k2_q + 2 * k3_q + k4_q)
|
q_next = Q[:,k] + dt/6*(k1_q + 2 * k2_q + 2 * k3_q + k4_q)
|
||||||
self.opti.subject_to(self.X[:, k + 1] == x_next) # close the gaps
|
opti.subject_to(X[:,k+1]==x_next) # close the gaps
|
||||||
self.opti.subject_to(self.Q[:, k + 1] == q_next) # close the gaps
|
opti.subject_to(Q[:,k+1]==q_next) # close the gaps
|
||||||
self.opti.minimize(self.Q[:, self.N])
|
opti.minimize(Q[:,self.N])
|
||||||
|
|
||||||
# ---- path constraints -----------
|
# ---- path constraints -----------
|
||||||
#limit = lambda pos: 1-sin(2*pi*pos)/2
|
#limit = lambda pos: 1-sin(2*pi*pos)/2
|
||||||
# self.opti.subject_to(speed<=limit(pos)) # track speed limit
|
#opti.subject_to(speed<=limit(pos)) # track speed limit
|
||||||
maxcontrol = 0.5
|
opti.subject_to(opti.bounded(-10,U,10)) # control is limited
|
||||||
self.opti.subject_to(self.opti.bounded(-maxcontrol, self.U, maxcontrol)) # control is limited
|
|
||||||
|
|
||||||
# ---- boundary conditions --------
|
# ---- boundary conditions --------
|
||||||
|
opti.subject_to(posx[0]==x0[0]) # start at position 0 ...
|
||||||
# self.opti.subject_to(speed[-1]==0) # .. with speed 0
|
opti.subject_to(posy[0]==x0[1]) # ... from stand-still
|
||||||
self.opti.subject_to(self.Q[:, 0] == 0.0)
|
opti.subject_to(angle[0]==x0[2]) # finish line at position 1
|
||||||
|
#opti.subject_to(speed[-1]==0) # .. with speed 0
|
||||||
|
opti.subject_to(Q[:,0]==0.0)
|
||||||
solver = self.opti.solver("ipopt", {}, {"print_level": 0})
|
|
||||||
|
|
||||||
# ---- misc. constraints ----------
|
# ---- misc. constraints ----------
|
||||||
# self.opti.subject_to(X[1,:]>=0) # Time must be positive
|
#opti.subject_to(X[1,:]>=0) # Time must be positive
|
||||||
# self.opti.subject_to(X[2,:]<=4) # Time must be positive
|
#opti.subject_to(X[2,:]<=4) # Time must be positive
|
||||||
# self.opti.subject_to(X[2,:]>=-2) # Time must be positive
|
#opti.subject_to(X[2,:]>=-2) # Time must be positive
|
||||||
|
|
||||||
# avoid obstacle
|
# avoid obstacle
|
||||||
#r = 0.25
|
#r = 0.25
|
||||||
#p = (0.5, 0.5)
|
#p = (0.5, 0.5)
|
||||||
#for k in range(self.N):
|
#for k in range(self.N):
|
||||||
# self.opti.subject_to((X[0,k]-p[0])**2 + (X[1,k]-p[1])**2 > r**2)
|
# opti.subject_to((X[0,k]-p[0])**2 + (X[1,k]-p[1])**2 > r**2)
|
||||||
# pass
|
# pass
|
||||||
posx = self.X[0, :]
|
|
||||||
posy = self.X[1, :]
|
|
||||||
angle = self.X[2, :]
|
|
||||||
|
|
||||||
self.opti.subject_to(posx[0] == x0[0]) # start at position 0 ...
|
|
||||||
self.opti.subject_to(posy[0] == x0[1]) # ... from stand-still
|
|
||||||
self.opti.subject_to(angle[0] == x0[2]) # finish line at position 1
|
|
||||||
tend = time.time()
|
|
||||||
|
|
||||||
print("setting up problem took {} seconds".format(tend - tstart))
|
# ---- initial values for solver ---
|
||||||
|
#opti.set_initial(speed, 1)
|
||||||
|
#opti.set_initial(T, 1)
|
||||||
|
|
||||||
if self.opti_x0 is not None:
|
# ---- solve NLP ------
|
||||||
self.opti.set_initial(self.opti.lam_g, self.opti_lam_g0)
|
opti.solver("ipopt") # set numerical backend
|
||||||
self.opti.set_initial(self.opti.x, self.opti_x0)
|
sol = opti.solve() # actual solve
|
||||||
sol = self.opti.solve() # actual solve
|
|
||||||
|
|
||||||
self.opti_x0 = sol.value(self.opti.x)
|
#x0 = sol.value(opti.x)
|
||||||
self.opti_lam_g0 = sol.value(self.opti.lam_g)
|
#lam_g0 = sol.value(opti.lam_g)
|
||||||
|
#opti.set_initial(opti.lam_g, lam_g0)
|
||||||
#u_opt_1 = map(lambda x: float(x), [u_opt[i * 2] for i in range(0, 60)])
|
#opti.set_initial(opti.x, x0)
|
||||||
#u_opt_2 = map(lambda x: float(x), [u_opt[i * 2 + 1] for i in range(0, 60)])
|
#opti.solve()
|
||||||
u_opt_1 = sol.value(self.U[0,:])
|
|
||||||
u_opt_2 = sol.value(self.U[1,:])
|
|
||||||
|
|
||||||
return (u_opt_1, u_opt_2)
|
|
||||||
|
|
||||||
#lam_g0 = sol.value(self.opti.lam_g)
|
|
||||||
|
|
||||||
#self.opti.solve()
|
|
||||||
|
|
||||||
from pylab import plot, step, figure, legend, show, spy
|
from pylab import plot, step, figure, legend, show, spy
|
||||||
|
|
||||||
|
@ -271,8 +206,8 @@ class OpenLoopSolver:
|
||||||
plt.figure(3)
|
plt.figure(3)
|
||||||
plot(sol.value(posx), sol.value(posy))
|
plot(sol.value(posx), sol.value(posy))
|
||||||
ax = plt.gca()
|
ax = plt.gca()
|
||||||
#circle = plt.Circle(p, r)
|
circle = plt.Circle(p, r)
|
||||||
#ax.add_artist(circle)
|
ax.add_artist(circle)
|
||||||
#plot(limit(sol.value(pos)),'r--',label="speed limit")
|
#plot(limit(sol.value(pos)),'r--',label="speed limit")
|
||||||
#step(range(N),sol.value(U),'k',label="throttle")
|
#step(range(N),sol.value(U),'k',label="throttle")
|
||||||
legend(loc="upper left")
|
legend(loc="upper left")
|
||||||
|
|
|
@ -11,7 +11,6 @@ import pygame
|
||||||
import numpy as np
|
import numpy as np
|
||||||
import socket
|
import socket
|
||||||
import scipy.integrate
|
import scipy.integrate
|
||||||
import copy
|
|
||||||
|
|
||||||
import threading
|
import threading
|
||||||
from copy import deepcopy
|
from copy import deepcopy
|
||||||
|
@ -119,12 +118,8 @@ class RemoteController:
|
||||||
self.dirs, = self.ax.plot([], [])
|
self.dirs, = self.ax.plot([], [])
|
||||||
plt.xlabel('x-position')
|
plt.xlabel('x-position')
|
||||||
plt.ylabel('y-position')
|
plt.ylabel('y-position')
|
||||||
plt.grid()
|
|
||||||
|
|
||||||
self.ols = OpenLoopSolver()
|
self.ols = OpenLoopSolver()
|
||||||
self.ols.setup()
|
|
||||||
|
|
||||||
self.target = (0.0, 0.0, 0.0)
|
|
||||||
|
|
||||||
def ani(self):
|
def ani(self):
|
||||||
self.ani = anim.FuncAnimation(self.fig, init_func=self.ani_init, func=self.ani_update, interval=10, blit=True)
|
self.ani = anim.FuncAnimation(self.fig, init_func=self.ani_init, func=self.ani_update, interval=10, blit=True)
|
||||||
|
@ -212,21 +207,6 @@ class RemoteController:
|
||||||
self.mutex.release()
|
self.mutex.release()
|
||||||
|
|
||||||
def controller(self):
|
def controller(self):
|
||||||
tgrid = None
|
|
||||||
us1 = None
|
|
||||||
us2 = None
|
|
||||||
u1 = -0.0
|
|
||||||
u2 = 0.0
|
|
||||||
|
|
||||||
r = scipy.integrate.ode(f_ode)
|
|
||||||
|
|
||||||
omega_max = 5.0
|
|
||||||
|
|
||||||
init_pos = None
|
|
||||||
init_time = None
|
|
||||||
final_pos = None
|
|
||||||
final_time = None
|
|
||||||
forward = True
|
|
||||||
print("starting control")
|
print("starting control")
|
||||||
while True:
|
while True:
|
||||||
|
|
||||||
|
@ -237,7 +217,7 @@ class RemoteController:
|
||||||
|
|
||||||
if keyboard_control: # keyboard controller
|
if keyboard_control: # keyboard controller
|
||||||
events = pygame.event.get()
|
events = pygame.event.get()
|
||||||
speed = 1.0
|
speed = 0.5
|
||||||
for event in events:
|
for event in events:
|
||||||
if event.type == pygame.KEYDOWN:
|
if event.type == pygame.KEYDOWN:
|
||||||
if event.key == pygame.K_LEFT:
|
if event.key == pygame.K_LEFT:
|
||||||
|
@ -256,17 +236,17 @@ class RemoteController:
|
||||||
self.u1 = -speed
|
self.u1 = -speed
|
||||||
self.u2 = -speed
|
self.u2 = -speed
|
||||||
#print("forward: ({},{})".format(u1, u2))
|
#print("forward: ({},{})".format(u1, u2))
|
||||||
self.rc_socket.send('({},{},{})\n'.format(0.1, self.u1, self.u2))
|
self.rc_socket.send('({},{})\n'.format(self.u1, self.u2))
|
||||||
elif event.type == pygame.KEYUP:
|
elif event.type == pygame.KEYUP:
|
||||||
self.u1 = 0
|
self.u1 = 0
|
||||||
self.u2 = 0
|
self.u2 = 0
|
||||||
#print("key released, resetting: ({},{})".format(u1, u2))
|
#print("key released, resetting: ({},{})".format(u1, u2))
|
||||||
self.rc_socket.send('({}, {},{})\n'.format(0.1, self.u1, self.u2))
|
self.rc_socket.send('({},{})\n'.format(self.u1, self.u2))
|
||||||
|
|
||||||
tnew = time.time()
|
tnew = time.time()
|
||||||
dt = tnew - self.t
|
dt = tnew - self.t
|
||||||
r = scipy.integrate.ode(f_ode)
|
r = scipy.integrate.ode(f_ode)
|
||||||
r.set_f_params(np.array([self.u1 * omega_max, self.u2 * omega_max]))
|
r.set_f_params(np.array([self.u1 * 13.32, self.u2 * 13.32]))
|
||||||
|
|
||||||
#print(self.x0)
|
#print(self.x0)
|
||||||
if self.x0 is None:
|
if self.x0 is None:
|
||||||
|
@ -294,59 +274,18 @@ class RemoteController:
|
||||||
events = pygame.event.get()
|
events = pygame.event.get()
|
||||||
for event in events:
|
for event in events:
|
||||||
if event.type == pygame.KEYDOWN:
|
if event.type == pygame.KEYDOWN:
|
||||||
if event.key == pygame.K_1:
|
if event.key == pygame.K_LEFT:
|
||||||
self.controlling = True
|
self.speed = self.speed / np.sqrt(np.sqrt(np.sqrt(10.0)))
|
||||||
forward = True
|
elif event.key == pygame.K_RIGHT:
|
||||||
print("starting test")
|
self.speed = self.speed * np.sqrt(np.sqrt(np.sqrt(10.0)))
|
||||||
self.mutex.acquire()
|
elif event.key == pygame.K_UP:
|
||||||
try:
|
u1 = self.speed
|
||||||
init_pos = copy.deepcopy(self.xms[-1])
|
u2 = -self.speed
|
||||||
init_time = copy.deepcopy(self.tms[-1])
|
elif event.key == pygame.K_DOWN:
|
||||||
finally:
|
u1 = 0.0
|
||||||
self.mutex.release()
|
u2 = 0.0
|
||||||
if event.key == pygame.K_2:
|
print("speed = {}".format(self.speed))
|
||||||
self.controlling = True
|
self.rc_socket.send('({},{})\n'.format(u1, u2))
|
||||||
forward = False
|
|
||||||
print("starting test")
|
|
||||||
self.mutex.acquire()
|
|
||||||
try:
|
|
||||||
init_pos = copy.deepcopy(self.xms[-1])
|
|
||||||
init_time = copy.deepcopy(self.tms[-1])
|
|
||||||
finally:
|
|
||||||
self.mutex.release()
|
|
||||||
elif event.key == pygame.K_3:
|
|
||||||
self.controlling = False
|
|
||||||
print("stopping test")
|
|
||||||
self.rc_socket.send('(0.1, 0.0,0.0)\n')
|
|
||||||
|
|
||||||
self.mutex.acquire()
|
|
||||||
try:
|
|
||||||
final_pos = copy.deepcopy(self.xms[-1])
|
|
||||||
final_time = copy.deepcopy(self.tms[-1])
|
|
||||||
finally:
|
|
||||||
self.mutex.release()
|
|
||||||
|
|
||||||
print("init_pos = {}".format(init_pos))
|
|
||||||
print("final_pos = {}".format(final_pos))
|
|
||||||
print("distance = {}".format(np.linalg.norm(init_pos[0:2]-final_pos[0:2])))
|
|
||||||
print("dt = {}".format(final_time - init_time))
|
|
||||||
|
|
||||||
d = np.linalg.norm(init_pos[0:2]-final_pos[0:2])
|
|
||||||
t = final_time - init_time
|
|
||||||
r = 0.03
|
|
||||||
|
|
||||||
angular_velocity = d/r/t
|
|
||||||
print("average angular velocity = {}".format(angular_velocity))
|
|
||||||
|
|
||||||
|
|
||||||
if self.controlling:
|
|
||||||
if forward:
|
|
||||||
self.rc_socket.send('(0.1, 1.0,1.0)\n')
|
|
||||||
else:
|
|
||||||
self.rc_socket.send('(0.1, -1.0,-1.0)\n')
|
|
||||||
time.sleep(0.1)
|
|
||||||
#print("speed = {}".format(self.speed))
|
|
||||||
|
|
||||||
|
|
||||||
elif pid:
|
elif pid:
|
||||||
# pid controller
|
# pid controller
|
||||||
|
@ -403,98 +342,7 @@ class RemoteController:
|
||||||
for event in events:
|
for event in events:
|
||||||
if event.type == pygame.KEYDOWN:
|
if event.type == pygame.KEYDOWN:
|
||||||
if event.key == pygame.K_UP:
|
if event.key == pygame.K_UP:
|
||||||
self.controlling = True
|
self.ols.solve(self.xms[-1])
|
||||||
self.t = time.time()
|
|
||||||
elif event.key == pygame.K_DOWN:
|
|
||||||
self.controlling = False
|
|
||||||
self.rc_socket.send('(0.1, 0.0,0.0)\n')
|
|
||||||
elif event.key == pygame.K_0:
|
|
||||||
self.target = (0.0, 0.0, 0.0)
|
|
||||||
elif event.key == pygame.K_1:
|
|
||||||
self.target = (0.5,0.5, -np.pi/2.0)
|
|
||||||
elif event.key == pygame.K_2:
|
|
||||||
self.target = (0.5, -0.5, 0.0)
|
|
||||||
elif event.key == pygame.K_3:
|
|
||||||
self.target = (-0.5,-0.5, np.pi/2.0)
|
|
||||||
elif event.key == pygame.K_4:
|
|
||||||
self.target = (-0.5,0.5, 0.0)
|
|
||||||
if self.controlling:
|
|
||||||
tmpc_start = time.time()
|
|
||||||
# get measurement
|
|
||||||
self.mutex.acquire()
|
|
||||||
try:
|
|
||||||
last_measurement = copy.deepcopy(self.xms[-1])
|
|
||||||
last_time = copy.deepcopy(self.tms[-1])
|
|
||||||
finally:
|
|
||||||
self.mutex.release()
|
|
||||||
|
|
||||||
print("current measurement (t, x) = ({}, {})".format(last_time, last_measurement))
|
|
||||||
print("current control (u1, u2) = ({}, {})".format(u1, u2))
|
|
||||||
|
|
||||||
# prediction of state at time the mpc will terminate
|
|
||||||
r.set_f_params(np.array([u1 * omega_max, u2 * omega_max]))
|
|
||||||
|
|
||||||
r.set_initial_value(last_measurement, last_time)
|
|
||||||
dt = self.ols.T/self.ols.N
|
|
||||||
print("integrating for {} seconds".format((dt)))
|
|
||||||
x_pred = r.integrate(r.t + (dt))
|
|
||||||
|
|
||||||
print("predicted initial state x_pred = ({})".format(x_pred))
|
|
||||||
|
|
||||||
res = self.ols.solve(x_pred, self.target)
|
|
||||||
#tgrid = res[0]
|
|
||||||
us1 = res[0]
|
|
||||||
us2 = res[1]
|
|
||||||
|
|
||||||
# tt = 0
|
|
||||||
# x = last_measurement
|
|
||||||
# t_ol = np.array([tt])
|
|
||||||
# x_ol = np.array([x])
|
|
||||||
# # compute open loop prediction
|
|
||||||
# for i in range(len(us1)):
|
|
||||||
# r = scipy.integrate.ode(f_ode)
|
|
||||||
# r.set_f_params(np.array([us1[i] * 13.32, us2[i] * 13.32]))
|
|
||||||
# r.set_initial_value(x, tt)
|
|
||||||
#
|
|
||||||
# tt = tt + 0.1
|
|
||||||
# x = r.integrate(tt)
|
|
||||||
#
|
|
||||||
# t_ol = np.vstack((t_ol, tt))
|
|
||||||
# x_ol = np.vstack((x_ol, x))
|
|
||||||
|
|
||||||
#plt.figure(4)
|
|
||||||
#plt.plot(x_ol[:,0], x_ol[:,1])
|
|
||||||
|
|
||||||
|
|
||||||
#if event.key == pygame.K_DOWN:
|
|
||||||
# if tgrid is not None:
|
|
||||||
tmpc_end = time.time()
|
|
||||||
print("---------------- mpc solution took {} seconds".format(tmpc_end - tmpc_start))
|
|
||||||
dt_mpc = time.time() - self.t
|
|
||||||
if dt_mpc < dt:
|
|
||||||
print("sleeping for {} seconds...".format(dt - dt_mpc))
|
|
||||||
time.sleep(dt - dt_mpc)
|
|
||||||
|
|
||||||
self.mutex.acquire()
|
|
||||||
try:
|
|
||||||
second_measurement = copy.deepcopy(self.xms[-1])
|
|
||||||
second_time = copy.deepcopy(self.tms[-1])
|
|
||||||
finally:
|
|
||||||
self.mutex.release()
|
|
||||||
|
|
||||||
print("(last_time, second_time, dt) = ({}, {}, {})".format(last_time, second_time, second_time - last_time))
|
|
||||||
print("mismatch between predicted state and measured state: {}\n\n".format(second_measurement - last_measurement))
|
|
||||||
|
|
||||||
for i in range(0, 1):
|
|
||||||
u1 = us1[i]
|
|
||||||
u2 = us2[i]
|
|
||||||
self.rc_socket.send('({},{},{})\n'.format(dt,u1, u2))
|
|
||||||
self.t = time.time()
|
|
||||||
#time.sleep(0.2)
|
|
||||||
#
|
|
||||||
|
|
||||||
|
|
||||||
pass
|
|
||||||
|
|
||||||
def main(args):
|
def main(args):
|
||||||
rospy.init_node('controller_node', anonymous=True)
|
rospy.init_node('controller_node', anonymous=True)
|
||||||
|
|
Loading…
Reference in New Issue
Block a user