python, iteration limit exceeded











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It is an easy problem but I tried many times and couldn't find where there is a bug in my code.
Assume there is a Force to push the mass to a goal point. Use the Optimizer to find the best position, velocity, force.
Constraint 1 is used to describe a position relationship, contraint2 is used to describe a velocity relationship.
the code is as follows:



import numpy as np
from scipy.optimize import minimize
import matplotlib.pyplot as plt

t=0.1
m=10
g=9.8
s_goal=3
n=80
e=0.01

A = np.zeros((n,n))
for i in range (n):
A[0,i]=0
A[i,i-1]=1
B = np.zeros((n,n))
for i in range (n):
B[0,i]=0
B[i,i-1]=t
C = np.zeros((n,1))
for i in range (n):
C[i,0]=t*g

x0=np.zeros((n,3))

def constraint1(x):
x=x.reshape(n,3)
s=x[:,0].reshape(n,1)
v=x[:,1].reshape(n,1)
a=s-np.dot(A,s)-np.dot(B,v)
a=a.reshape(n,)
return a
def constraint2(x):
x=x.reshape(n,3)
F=x[:,2].reshape(n,1)
v=x[:,1].reshape(n,1)
b=v-np.dot(A,v)-(t/m)*np.dot(A,F)+C
b=b.reshape(n,)
return b
def objective(x):
x=x.reshape(n,3)
s=x[:,0].reshape(n,1)
v=x[:,1].reshape(n,1)
#F=x[:,2].reshape(n,1)
sum_up=0
for i in range (n):
sum_up = sum_up + (s[i,0]-s_goal)**2 + e*(v[i,0])**2
#print(sum_up )
return sum_up
# optimize
con1 = {'type':'eq','fun':constraint1}
con2 = {'type':'eq','fun':constraint2}
cons = ([con1,con2])
solution = minimize(objective,x0,method='SLSQP',constraints=cons)
print(solution)
#print (np.shape(solution.x))
m=(solution.x).reshape(n,3)

position=m[:,0]
velocity=m[:,1]
Force=m[:,2]
#plot
tn=np.linspace(0,n*t,n)
plt.plot(tn,position)
plt.ylabel('position')
plt.xlabel('time')
plt.legend(loc='best')
plt.show()


plt.plot(tn,velocity)
plt.ylabel('velocity')
plt.xlabel('time')
plt.legend(loc='best')
plt.show()


plt.plot(tn,Force)
plt.ylabel('Force')
plt.xlabel('time')
plt.legend(loc='best')
plt.show()


I think the constraints are clear, but the result is saying:
message: 'Iteration limit exceeded'
nfev: 24442
nit: 101
njev: 101
status: 9
success: False



Could you please tell me where did I do wrong. Thank you Very much!!!










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Katherine is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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    It is an easy problem but I tried many times and couldn't find where there is a bug in my code.
    Assume there is a Force to push the mass to a goal point. Use the Optimizer to find the best position, velocity, force.
    Constraint 1 is used to describe a position relationship, contraint2 is used to describe a velocity relationship.
    the code is as follows:



    import numpy as np
    from scipy.optimize import minimize
    import matplotlib.pyplot as plt

    t=0.1
    m=10
    g=9.8
    s_goal=3
    n=80
    e=0.01

    A = np.zeros((n,n))
    for i in range (n):
    A[0,i]=0
    A[i,i-1]=1
    B = np.zeros((n,n))
    for i in range (n):
    B[0,i]=0
    B[i,i-1]=t
    C = np.zeros((n,1))
    for i in range (n):
    C[i,0]=t*g

    x0=np.zeros((n,3))

    def constraint1(x):
    x=x.reshape(n,3)
    s=x[:,0].reshape(n,1)
    v=x[:,1].reshape(n,1)
    a=s-np.dot(A,s)-np.dot(B,v)
    a=a.reshape(n,)
    return a
    def constraint2(x):
    x=x.reshape(n,3)
    F=x[:,2].reshape(n,1)
    v=x[:,1].reshape(n,1)
    b=v-np.dot(A,v)-(t/m)*np.dot(A,F)+C
    b=b.reshape(n,)
    return b
    def objective(x):
    x=x.reshape(n,3)
    s=x[:,0].reshape(n,1)
    v=x[:,1].reshape(n,1)
    #F=x[:,2].reshape(n,1)
    sum_up=0
    for i in range (n):
    sum_up = sum_up + (s[i,0]-s_goal)**2 + e*(v[i,0])**2
    #print(sum_up )
    return sum_up
    # optimize
    con1 = {'type':'eq','fun':constraint1}
    con2 = {'type':'eq','fun':constraint2}
    cons = ([con1,con2])
    solution = minimize(objective,x0,method='SLSQP',constraints=cons)
    print(solution)
    #print (np.shape(solution.x))
    m=(solution.x).reshape(n,3)

    position=m[:,0]
    velocity=m[:,1]
    Force=m[:,2]
    #plot
    tn=np.linspace(0,n*t,n)
    plt.plot(tn,position)
    plt.ylabel('position')
    plt.xlabel('time')
    plt.legend(loc='best')
    plt.show()


    plt.plot(tn,velocity)
    plt.ylabel('velocity')
    plt.xlabel('time')
    plt.legend(loc='best')
    plt.show()


    plt.plot(tn,Force)
    plt.ylabel('Force')
    plt.xlabel('time')
    plt.legend(loc='best')
    plt.show()


    I think the constraints are clear, but the result is saying:
    message: 'Iteration limit exceeded'
    nfev: 24442
    nit: 101
    njev: 101
    status: 9
    success: False



    Could you please tell me where did I do wrong. Thank you Very much!!!










    share|improve this question







    New contributor




    Katherine is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      It is an easy problem but I tried many times and couldn't find where there is a bug in my code.
      Assume there is a Force to push the mass to a goal point. Use the Optimizer to find the best position, velocity, force.
      Constraint 1 is used to describe a position relationship, contraint2 is used to describe a velocity relationship.
      the code is as follows:



      import numpy as np
      from scipy.optimize import minimize
      import matplotlib.pyplot as plt

      t=0.1
      m=10
      g=9.8
      s_goal=3
      n=80
      e=0.01

      A = np.zeros((n,n))
      for i in range (n):
      A[0,i]=0
      A[i,i-1]=1
      B = np.zeros((n,n))
      for i in range (n):
      B[0,i]=0
      B[i,i-1]=t
      C = np.zeros((n,1))
      for i in range (n):
      C[i,0]=t*g

      x0=np.zeros((n,3))

      def constraint1(x):
      x=x.reshape(n,3)
      s=x[:,0].reshape(n,1)
      v=x[:,1].reshape(n,1)
      a=s-np.dot(A,s)-np.dot(B,v)
      a=a.reshape(n,)
      return a
      def constraint2(x):
      x=x.reshape(n,3)
      F=x[:,2].reshape(n,1)
      v=x[:,1].reshape(n,1)
      b=v-np.dot(A,v)-(t/m)*np.dot(A,F)+C
      b=b.reshape(n,)
      return b
      def objective(x):
      x=x.reshape(n,3)
      s=x[:,0].reshape(n,1)
      v=x[:,1].reshape(n,1)
      #F=x[:,2].reshape(n,1)
      sum_up=0
      for i in range (n):
      sum_up = sum_up + (s[i,0]-s_goal)**2 + e*(v[i,0])**2
      #print(sum_up )
      return sum_up
      # optimize
      con1 = {'type':'eq','fun':constraint1}
      con2 = {'type':'eq','fun':constraint2}
      cons = ([con1,con2])
      solution = minimize(objective,x0,method='SLSQP',constraints=cons)
      print(solution)
      #print (np.shape(solution.x))
      m=(solution.x).reshape(n,3)

      position=m[:,0]
      velocity=m[:,1]
      Force=m[:,2]
      #plot
      tn=np.linspace(0,n*t,n)
      plt.plot(tn,position)
      plt.ylabel('position')
      plt.xlabel('time')
      plt.legend(loc='best')
      plt.show()


      plt.plot(tn,velocity)
      plt.ylabel('velocity')
      plt.xlabel('time')
      plt.legend(loc='best')
      plt.show()


      plt.plot(tn,Force)
      plt.ylabel('Force')
      plt.xlabel('time')
      plt.legend(loc='best')
      plt.show()


      I think the constraints are clear, but the result is saying:
      message: 'Iteration limit exceeded'
      nfev: 24442
      nit: 101
      njev: 101
      status: 9
      success: False



      Could you please tell me where did I do wrong. Thank you Very much!!!










      share|improve this question







      New contributor




      Katherine is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      It is an easy problem but I tried many times and couldn't find where there is a bug in my code.
      Assume there is a Force to push the mass to a goal point. Use the Optimizer to find the best position, velocity, force.
      Constraint 1 is used to describe a position relationship, contraint2 is used to describe a velocity relationship.
      the code is as follows:



      import numpy as np
      from scipy.optimize import minimize
      import matplotlib.pyplot as plt

      t=0.1
      m=10
      g=9.8
      s_goal=3
      n=80
      e=0.01

      A = np.zeros((n,n))
      for i in range (n):
      A[0,i]=0
      A[i,i-1]=1
      B = np.zeros((n,n))
      for i in range (n):
      B[0,i]=0
      B[i,i-1]=t
      C = np.zeros((n,1))
      for i in range (n):
      C[i,0]=t*g

      x0=np.zeros((n,3))

      def constraint1(x):
      x=x.reshape(n,3)
      s=x[:,0].reshape(n,1)
      v=x[:,1].reshape(n,1)
      a=s-np.dot(A,s)-np.dot(B,v)
      a=a.reshape(n,)
      return a
      def constraint2(x):
      x=x.reshape(n,3)
      F=x[:,2].reshape(n,1)
      v=x[:,1].reshape(n,1)
      b=v-np.dot(A,v)-(t/m)*np.dot(A,F)+C
      b=b.reshape(n,)
      return b
      def objective(x):
      x=x.reshape(n,3)
      s=x[:,0].reshape(n,1)
      v=x[:,1].reshape(n,1)
      #F=x[:,2].reshape(n,1)
      sum_up=0
      for i in range (n):
      sum_up = sum_up + (s[i,0]-s_goal)**2 + e*(v[i,0])**2
      #print(sum_up )
      return sum_up
      # optimize
      con1 = {'type':'eq','fun':constraint1}
      con2 = {'type':'eq','fun':constraint2}
      cons = ([con1,con2])
      solution = minimize(objective,x0,method='SLSQP',constraints=cons)
      print(solution)
      #print (np.shape(solution.x))
      m=(solution.x).reshape(n,3)

      position=m[:,0]
      velocity=m[:,1]
      Force=m[:,2]
      #plot
      tn=np.linspace(0,n*t,n)
      plt.plot(tn,position)
      plt.ylabel('position')
      plt.xlabel('time')
      plt.legend(loc='best')
      plt.show()


      plt.plot(tn,velocity)
      plt.ylabel('velocity')
      plt.xlabel('time')
      plt.legend(loc='best')
      plt.show()


      plt.plot(tn,Force)
      plt.ylabel('Force')
      plt.xlabel('time')
      plt.legend(loc='best')
      plt.show()


      I think the constraints are clear, but the result is saying:
      message: 'Iteration limit exceeded'
      nfev: 24442
      nit: 101
      njev: 101
      status: 9
      success: False



      Could you please tell me where did I do wrong. Thank you Very much!!!







      python-3.x






      share|improve this question







      New contributor




      Katherine is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











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      New contributor




      Katherine is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|improve this question




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      Katherine is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      asked Nov 12 at 17:30









      Katherine

      1




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      Katherine is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






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