Examples for

Control Systems

Control systems are the methods and models used to understand and regulate the relationship between the inputs and outputs of continuously operating dynamical systems. Wolfram|Alpha's computational strength enables you to compute transfer functions, system model properties and system responses and to analyze a specified model.

Control Systems

Compute, analyze and plot properties of models representing the behavior of a variety of control systems.

Analyze a transfer function model:

transfer function (s^2-3)/(-s^3-s+1)
control systems transfer function {1/(s-1),1/s}

Analyze a state space model:

state {{0,1,0},{0,0,1},{1/5,-1,0}}, input {{0},{0},{1}}, output {{-3,0,1}}
state {{0,1,0},{0,0,1},{1,-1,0}}, input {{0},{0},{1}}, output {{0,1,0}}, sampling=.2

Specify a standard system:

control system integrator

Compute a response:

transfer function s/(s^2-2) sampling period:0.5 response to UnitStep(5t-2)

Calculate properties of a control system:

poles of the transfer function s/(1+6s+8s^2)
observable state space repr. of the transfer function 1/s

Generate frequency response plots:

Nyquist plot of the transfer function s/(s-1)^3
Bode plot of s/(1-s) sampling period .02

Generate a root locus plot:

root locus plot for transfer function (s+2)/(s^3+3s^2+5s+1)

RELATED EXAMPLES

  • Applied Mathematics
  • Complex Analysis
  • Differential Equations
  • Dynamical Systems
  • Engineering

    • RELATED WOLFRAM RESOURCES

  • Wolfram Control Systems