- added Pid

- added Temp Controller
- added Kalman
This commit is contained in:
jens
2020-11-26 19:57:28 +01:00
parent f384110d76
commit bf205742b1
7 changed files with 255 additions and 46 deletions
+22 -46
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@@ -5,6 +5,7 @@ from ws.server.ws_server_multi_user import WsServerMultiUser
from components.sensor.tempSensorSim import TempSensorSim, ATemperatureSensor
from components.plant.pot import Pot, APlant
from components.actor.heater import Heater, AHeater
from components.pid import kalman
from ws.message import MsgIo, MessageDispatcher, Value
@@ -18,12 +19,13 @@ class ATask:
class TempSensorTask(ATask):
def __init__(self, sensor: ATemperatureSensor, interval, msg_handler: MsgIo):
def __init__(self, sensor: ATemperatureSensor, interval, msg_handler: MsgIo, kalman: kalman.Kalman):
ATask.__init__(self, interval)
self.msg_handler = msg_handler
msg_handler.set_recv_handler(self.recv)
self.sensor = sensor
self.kalman = kalman
async def recv(self, data):
print(data)
@@ -35,8 +37,13 @@ class TempSensorTask(ATask):
print("{}: Started with interval {} s".format(self.msg_handler.get_key(), self.interval))
temp = Value()
while True:
temp.set(round(self.sensor.temperature(), 1))
Z = self.kalman.process_measurement((self.sensor.temperature(), 0))
xp = self.kalman.process(Z)
theta_ist = xp[0, 0]
# heatrate_ist = xp[1, 0] * 60
temp.set(round(theta_ist, 1))
if temp.is_changed():
print("Sensor temp {}".format(temp.get()))
await self.send({'Temp': temp.get()})
await asyncio.sleep(self.interval)
@@ -109,42 +116,6 @@ class PotTask(ATask):
await asyncio.sleep(self.interval)
class CounterTask(ATask):
def __init__(self, interval, msg_handler: MsgIo):
ATask.__init__(self, interval)
self.msg_handler = msg_handler
msg_handler.set_recv_handler(self.recv)
async def recv(self, data):
print(data)
async def send(self, data):
await self.msg_handler.send(data)
async def on_process(self):
print("{}: Started with interval {} s".format(self.msg_handler.get_key(), self.interval))
while True:
for count in range(0, 101):
await self.send(count)
await asyncio.sleep(self.interval)
class ColorHandler:
def __init__(self, msg_handler: MsgIo):
self.msg_handler = msg_handler
msg_handler.set_recv_handler(self.recv)
print("{}: Constructed".format(self.msg_handler.get_key()))
async def recv(self, data):
print(data)
for value in data.values():
await self.send(value)
async def send(self, data):
await self.msg_handler.send(data)
class TaskManager:
def __init__(self):
self.tasks: ATask = []
@@ -174,13 +145,22 @@ if __name__ == '__main__':
dispatcher = MessageDispatcher()
server = WsServerMultiUser(listener=dispatcher)
taskmgr = TaskManager()
taskmgr.add(CounterTask(1.0, dispatcher.msgio_get("a")))
taskmgr.add(CounterTask(0.5, dispatcher.msgio_get("b")))
taskmgr.add(CounterTask(0.1, dispatcher.msgio_get("c")))
# Kalman Filter
kalman_params = {
"dt" : 1.0,
"var_P" : 0,
"var_Q" : 0.000001,
"var_R" : 1,
"var_Z" : 0.0
}
kalman = kalman.Kalman(kalman_params)
# Sensor
sensor = TempSensorSim()
taskmgr.add(TempSensorTask(sensor, 1.0, dispatcher.msgio_get("Sensor")))
taskmgr.add(TempSensorTask(sensor, 1.0, dispatcher.msgio_get("Sensor"), kalman))
# Plant
pot_params = {
"dt" : 0.1,
"theta_amb" : 15,
@@ -190,8 +170,6 @@ if __name__ == '__main__':
"Td" : 12,
"kn" : 0.2
}
# {"Heater": {"Activate": 1, "Power": 1000}}
# Plant
pot = Pot(pot_params)
pot.connect_theta_changed(sensor.set_fake_temp)
taskmgr.add(PotTask(pot, 0.1, dispatcher.msgio_get("Pot")))
@@ -201,8 +179,6 @@ if __name__ == '__main__':
heater.connect_power_changed(pot.setPower)
taskmgr.add(HeaterTask(heater, 0.1, dispatcher.msgio_get("Heater")))
ColorHandler(dispatcher.msgio_get("Color"))
h_dispatcher = taskmgr.start()
h_server = server.listen("localhost", 8765)
asyncio.gather(h_dispatcher, h_server)
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+144
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@@ -0,0 +1,144 @@
import numpy as np
from numpy.linalg import inv
from matplotlib.pyplot import plot, figure, subplot, title, xlabel, ylabel, grid, show
class Kalman:
def __init__(self, params={}):
dt = params['dt']
var_P = params['var_P']
var_Q = params['var_Q']
var_R = params['var_R']
var_Z = params['var_Z']
model = np.matrix([1, dt, 1/2*dt**2]).transpose()
N = len(model)-1
P = var_P*np.eye(N)
R = var_R*np.eye(N)
H = np.eye(N)
A = np.eye(N)
for row in range(0, N):
A[row, row:N] = model.transpose()[0, 0:N-row]
G = np.matrix(model[N:0:-1])
Q = G * G.transpose() * var_Q
self.P = P
self.Q = Q
self.R = R
self.N = N
self.A = A
self.H = H
self.var_Z = var_Z
X = np.matrix([0, 1.0]).transpose()
Xp = np.matrix([0, 0]).transpose()
self.Xp = Xp
self.X = X
np.set_printoptions(precision=3)
@staticmethod
def print(p, d):
print(p)
print(d)
def initial(self, X):
self.Xp = np.matrix([X[0], X[1]]).transpose()
def process_truth(self):
# ----------------------------
# Process ground truth
self.X = self.A * self.X
return self.X
def process_measurement(self, y):
Y = np.matrix([y[0], y[1]]).transpose()
# ----------------------------
# Take noisy measurement
Z = self.H * Y + self.var_Z * np.random.randn(self.N, 1)
return Z
def process(self, Z):
# ----------------------------
# State estimate
self.Xp = self.A * self.Xp
# ----------------------------
# Measurement prediction
Zp = self.H * self.Xp
# ----------------------------
# Measurement residual
V = Z - Zp
# ----------------------------
# State prediction covariance
self.P = self.A * self.P * self.A.transpose() + self.Q
# ----------------------------
# Measurement prediction covariance
S = self.H * self.P * self.H.transpose() + self.R
# ----------------------------
# Kalman gain
K = self.P * self.H.transpose() * inv(S)
# ----------------------------
# Update state estimate
self.Xp = self.Xp + K * V
# ----------------------------
# Updated state covariance
self.P = self.P - K * S * K
return self.Xp
# Main
if __name__ == '__main__':
dt =1
params = {
'dt' : dt,
'var_P' : 1,
'var_Q' : 0,
'var_R' : 1,
'var_Z' : 0
}
k = Kalman(params)
_x1 = np.empty(0)
_y1 = np.empty(0)
_x2 = np.empty(0)
_y2 = np.empty(0)
N = int(100/dt)
seqn = range(0, N)
for n in seqn:
X = k.process_truth()
Z = k.process_measurement((X[0,0], 0))
#Kalman.print("Z:", Z)
Xp = k.process(Z)
_x1 = np.append(_x1, Z[0])
_x2 = np.append(_x2, Z[1])
_y1 = np.append(_y1, Xp[0])
_y2 = np.append(_y2, Xp[1])
figure(1)
subplot(2, 1, 1)
plot(seqn, _x1, 'bx', seqn, _y1, '-r', linewidth=1)
grid(True)
subplot(2, 1, 2)
plot(seqn, _x2, 'bx', seqn, _y2, '-r', linewidth=1)
grid(True)
show()
print("End of program")
+48
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@@ -0,0 +1,48 @@
class Pid:
def __init__(self):
# Integrator
self.yi = 0
# Differentiator
self.xd = 0
# Auto windup
self.y_min = -1.0
self.y_max = 1.0
# Output
self.y = 0
@staticmethod
def params(kp, ki, kd, rho):
p = dict(kp=kp, ki=ki, kd=kd, rho=rho)
return p
def reset(self):
self.yi = 0
self.xd = 0
def process(self, dt, params, err):
kp = params['kp']
ki = params['ki']
kd = params['kd']
rho = params['rho']
yi = rho*self.yi + ki*dt * err
yd = err - self.xd
_yp = kp * err
_yi = yi
_yd = kd/dt * yd
y = _yp + _yi + _yd
self.y = max(self.y_min, min(self.y_max, y))
self.yi = yi
self.xd = err
def get_y(self):
return self.y
+41
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@@ -0,0 +1,41 @@
from components.pid import Pid
from components.pid import Kalman
class TempController:
def __init__(self, params):
self.dt = params['dt']
self.pid_hold = Pid()
self.pid_rate = Pid()
self.theta_ist = 0
self.theta_soll = 0
self.heatrate_ist = 0
self.heatrate_soll = 0
self.params = params
def set_theta_ist(self, value):
self.theta_ist = value
def set_heatrate_ist(self, value):
self.heatrate_ist = value
def set_theta_soll(self, value):
self.theta_soll = value
def set_heatrate_soll(self, value):
self.heatrate_soll = value
def process(self):
theta_err = self.theta_soll - self.theta_ist
heatrate_err = self.heatrate_soll - self.heatrate_ist
self.pid_hold.process(self.dt, self.params['Hold']['Pid'], theta_err)
self.pid_rate.process(self.dt, self.params['Heat']['Pid'], heatrate_err)
def get_power_hold(self):
power_hold = 200 + self.params['P_max'] * self.pid_hold.get_y()
return max(self.params['P_min'], min(self.params['P_max'], power_hold))
def get_power_heat(self):
power_heat = 1500 + self.params['P_max'] * self.pid_rate.get_y()
return max(self.params['P_min'], min(self.params['P_max'], power_heat))
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