How to plot the step response of a state space representation using ODE45

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Matthew Doris
Matthew Doris 2016-12-1
编辑： bio lim 2016-12-2
I need to plot the step response of a system with a spring as a link.
The two derived differential equations are :
  • m1(x1'') = U - k(x1-x2)
  • m2(x2'') = k(x1-x2)
The state space representation is:
  • A = [0 1 0 0; -k/m1 0 k/m1 0; 0 0 0 1; k/m2 0 -k/m2 0];
  • B = [0; 1/m1 ;0 ;0];
  • C = [1 0 -1 0];
  • D = 0;
I can not use the step(A,B,C,D) function and it must be solved with ode45, how is that done?

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回答（1 个）

bio lim
bio lim 2016-12-2
编辑：bio lim 2016-12-2
Define your closed loop system in your function definition. Then set your input as U = 1, and use ode45 to get the response.

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