我如何使用gekkopython通过控制到容器的入口流量来控制cstr容器的液位？

Question

我试图使用PYTHON上的GEKKO来控制CSTR水箱的液位，同时控制入口流量q。我尝试了同样的问题，使用pid控制器，它的工作。但是，在壁虎上，高度并没有跟踪它的设定值。有一次我做了双重测试：当流速为200时，高度达到了800，当我把流速降低到2时，高度大约为0。然而，当我把GEKKO的高度设定值设为700或800时，流速并没有停止在200，而是不断地无限增加

下面是我的代码：

import numpy as np
import matplotlib.pyplot as plt
from scipy.integrate import odeint
from gekko import GEKKO

# Steady State Initial Condition
u2_ss=100.0

h_ss=399.83948182

x0 = np.empty(1)
x0[0]= h_ss

#%% GEKKO nonlinear MPC
m = GEKKO(remote=False)
m.time = [0,0.02,0.04,0.06,0.08,0.1,0.12,0.15,0.2]

c1=5.0
Ac=10.0
# initial conditions

h0=399.83948182
q0=100.0


m.h= m.CV(value=h0)

m.q=m.MV(value=q0,lb=0,ub=100000)


m.Equation(m.h.dt()==(m.q-c1*m.h**0.5)/Ac)


#MV tuning
m.q.STATUS = 1
m.q.FSTATUS = 0
m.q.DMAX = 100
m.q.DMAXHI = 100  
m.q.DMAXLO = -100 

#CV tuning
DT = 0.5 # deadband

m.h.STATUS = 1
m.h.FSTATUS = 1
m.h.TR_INIT = 1
m.h.TAU = 1.0

m.options.CV_TYPE = 1
m.options.IMODE = 6
m.options.SOLVER = 3

#%% define CSTR model
def cstr(x,t,u2,Ac):

    q=u2

    c1=5.0
    Ac=10.0


    # States (2):
    # the height of the tank (m)

    h=x[0]

    # Parameters:


    # Calculate height derivative

    dhdt=(q-c1*h**0.5)/Ac

    if x[0]>=1000 and dhdt>0:
       dh1dt = 0

    # Return xdot:
    xdot = np.zeros(1)
    xdot[0]= dhdt
    return xdot


# Time Interval (min)
t = np.linspace(0,20,100)

# Store results for plotting


hsp=np.ones(len(t))*h_ss
h=np.ones(len(t))*h_ss

u2 = np.ones(len(t)) * u2_ss


# Set point steps

hsp[0:50] = 500.0
hsp[100:150]=700.0


# Create plot
plt.figure(figsize=(10,7))
plt.ion()
plt.show()

# Simulate CSTR
for i in range(len(t)-1):
    # simulate one time period (0.05 sec each loop)
    ts = [t[i],t[i+1]]
    y = odeint(cstr,x0,ts,args=(u2[i+1],Ac))

    # retrieve measurements

    h[i+1]= y[-1][0]

    # insert measurement

    m.h.MEAS=h[i+1]
    # solve MPC
    m.solve(disp=True)


    m.h.SPHI = hsp[i+1] + DT
    m.h.SPLO = hsp[i+1] - DT

    # retrieve new q value

    u2[i+1] = m.q.NEWVAL
    # update initial conditions
    x0[0]= h[i+1]

    #%% Plot the results
    plt.clf()


    plt.subplot(2,1,1)
    plt.plot(t[0:i],u2[0:i],'b--',linewidth=3)
    plt.ylabel('inlet flow')

    plt.subplot(2,1,2)

    plt.plot(t[0:i],hsp[0:i],'g--',linewidth=3,label=r'$h_{sp}$')
    plt.plot(t[0:i],h[0:i],'k.-',linewidth=3,label=r'$h_{meas}$')
    plt.xlabel('time')
    plt.ylabel('tank level')
    plt.legend(loc='best')


    plt.draw()
    plt.pause(0.01)

Answer 1

穆罕默德

如果要模拟储罐液位控制，请从以下代码开始：入口（qin，MV）和出口（qout，DV）的体积流量

m = GEKKO(remote=False)
m.time = [0,0.02,0.04,0.06,0.08,0.1,0.12,0.15,0.2]
h0=50
q0=10
Ac=30 # m2,Cross section Area

m.h= m.CV(value=h0)
m.qin = m.MV(value=q0,lb=0,ub=100)
m.qout = m.Param(value=5)

m.Equation(m.h.dt() == (m.qin - m.qout)/Ac)