Nonlinear State-Space simulation

Question

Estela Nieto 2020-5-23

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https://ww2.mathworks.cn/matlabcentral/answers/531588-nonlinear-state-space-simulation

评论： Estela Nieto 2020-5-25

Hello everyone,

I have to simulate this nos linear sistem

where k0= 1x10^-4,x1, x2 and x3 are the states and u(t) is the control input.

Could you tell me plese how to simulate this system either using Matlab or Simulink?

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Answer 1

Gautam 2020-5-24

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https://ww2.mathworks.cn/matlabcentral/answers/531588-nonlinear-state-space-simulation#answer_437513

1) You can use ode45 for solving these equations in MATLAB (Refer the examples here to understand how to use ode45 for solving non-linear differential equations: )

2) For simulink implementation: Refer this blogpost https://blogs.mathworks.com/simulink/2008/05/23/how-to-draw-odes-in-simulink/ . Although this talks about a simple homogenous ODE, the example can be extended to solve your equations.

Goodluck!