SciPy 0.6.0 API Documentation Generated by Endo, 2007-10-17

Classes

• lti - Linear Time Invariant class which simplifies representation.

Function summary

• abcd_normalize(A = None, B = None, C = None, D = None)
• impulse(system, X0 = None, T = None, N = None)
• lsim(system, U, T, X0 = None, interp = 1)
• lsim2(system, U, T, X0 = None)
• none_to_empty(arg)
• ss2tf(A, B, C, D, input = 0)
• ss2zpk(A, B, C, D, input = 0)
• step(system, X0 = None, T = None, N = None)
• tf2ss(num, den)
• zpk2ss(z, p, k)

Functions

• abcd_normalize(A = None, B = None, C = None, D = None)

  Check state-space matrices and ensure they are rank-2.

• impulse(system, X0 = None, T = None, N = None)

  Impulse response of continuous-time system.
  
  Inputs:
  
    system -- an instance of the LTI class or a tuple with 2, 3, or 4
              elements representing (num, den), (zero, pole, gain), or
              (A, B, C, D) representation of the system.
    X0 -- (optional, default = 0) inital state-vector.
    T -- (optional) time points (autocomputed if not given).
    N -- (optional) number of time points to autocompute (100 if not given).
  
  Ouptuts: (T, yout)
  
    T -- output time points,
    yout -- impulse response of system (except possible singularities at 0).
  

• lsim(system, U, T, X0 = None, interp = 1)

  Simulate output of a continuous-time linear system.
  
  Inputs:
  
    system -- an instance of the LTI class or a tuple describing the
              system.  The following gives the number of elements in
              the tuple and the interpretation.
                2 (num, den)
                3 (zeros, poles, gain)
                4 (A, B, C, D)
    U -- an input array describing the input at each time T
         (interpolation is assumed between given times).
         If there are multiple inputs, then each column of the
         rank-2 array represents an input.
    T -- the time steps at which the input is defined and at which
         the output is desired.
    X0 -- (optional, default=0) the initial conditions on the state vector.
    interp -- linear (1) or zero-order hold (0) interpolation
  
  Outputs: (T, yout, xout)
  
    T -- the time values for the output.
    yout -- the response of the system.
    xout -- the time-evolution of the state-vector.
  

• lsim2(system, U, T, X0 = None)

  Simulate output of a continuous-time linear system, using ODE solver.
  
  Inputs:
  
    system -- an instance of the LTI class or a tuple describing the
              system.  The following gives the number of elements in
              the tuple and the interpretation.
                2 (num, den)
                3 (zeros, poles, gain)
                4 (A, B, C, D)
    U -- an input array describing the input at each time T
         (linear interpolation is assumed between given times).
         If there are multiple inputs, then each column of the
         rank-2 array represents an input.
    T -- the time steps at which the input is defined and at which
         the output is desired.
    X0 -- (optional, default=0) the initial conditions on the state vector.
  
  Outputs: (T, yout, xout)
  
    T -- the time values for the output.
    yout -- the response of the system.
    xout -- the time-evolution of the state-vector.
  

• none_to_empty(arg)
• ss2tf(A, B, C, D, input = 0)

  State-space to transfer function.

  Inputs:

  A, B, C, D -- state-space representation of linear system. input -- For multiple-input systems, the input to use.

  Outputs:

  num, den -- Numerator and denominator polynomials (as sequences)

  respectively.

• ss2zpk(A, B, C, D, input = 0)

  State-space representation to zero-pole-gain representation.

  Inputs:

  A, B, C, D -- state-space matrices. input -- for multiple-input systems, the input to use.

  Outputs:

  z, p, k -- zeros and poles in sequences and gain constant.

• step(system, X0 = None, T = None, N = None)

  Step response of continuous-time system.
  
  Inputs:
  
    system -- an instance of the LTI class or a tuple with 2, 3, or 4
              elements representing (num, den), (zero, pole, gain), or
              (A, B, C, D) representation of the system.
    X0 -- (optional, default = 0) inital state-vector.
    T -- (optional) time points (autocomputed if not given).
    N -- (optional) number of time points to autocompute (100 if not given).
  
  Ouptuts: (T, yout)
  
    T -- output time points,
    yout -- step response of system.
  

• tf2ss(num, den)

  Transfer function to state-space representation.

  Inputs:

  num, den -- sequences representing the numerator and denominator polynomials.

  Outputs:

  A, B, C, D -- state space representation of the system.

• zpk2ss(z, p, k)

  Zero-pole-gain representation to state-space representation

  Inputs:

  z, p, k -- zeros, poles (sequences), and gain of system

  Outputs:

  A, B, C, D -- state-space matrices.

Imported Names