How can i obtain response of MIMO for different 2 input?

Question

Volkan Yangin 2020-12-2

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/674133-how-can-i-obtain-response-of-mimo-for-different-2-input

编辑： Volkan Yangin 2020-12-2

采纳的回答： Ameer Hamza

在 MATLAB Online 中打开

Hi,

You can see my arbitrary state space model below. First input should be 0.1*step, and second one 100*step.

How can i define these different inputs?

Thx!

    clc
    A=[-7463.41463414634,-626.936829268293,8090.33146341463;-723.377110694184,-16939.5629268293,17662.9400375235;373.180731707317,553.795365853659,-926.956092439024]
    B=[37.8048780487805,4.87804878048781e-05;64.7335834896811,8.35272045028143e-05;85.2321951219512,0.000487804878048781]
    C=[-7463.41463414634,-626.926829268293,8090.34146341463;0,1,0;373.170731707317,553.785365853659,-926.956092439024;1,0,0;0,0,1]
    D=[37.8048780487805,4.87804878048781e-05;0,0;85.2321951219512,0.000487804878048781;0,0;0,0]
    sys=ss(A,B,C,D);
    step(0.1*sys)

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Mathieu NOE 2020-12-2

help lsim

lsim Simulate time response of dynamic systems to arbitrary inputs.

Volkan Yangin 2020-12-2

Thanks a lot

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Answer 1

Ameer Hamza 2020-12-2

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/674133-how-can-i-obtain-response-of-mimo-for-different-2-input#answer_563038

在 MATLAB Online 中打开

Although lsim() as recommended by Mathieu is a general solution. However, an alternative way is to scale the B and D matrices and still use step()

sys=ss(A,0.1*B,C,0.1*D);
step(sys)

or

sys=ss(A,100*B,C,100*D);
step(sys)

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Volkan Yangin 2020-12-2

编辑：Volkan Yangin 2020-12-2

Thanks Ameer

It seems that creating of two signals with lsim and sum of the responses of them will solve my problem. I will create 2 row matrix to prepare 2 different signals according to my time scale.

I have found similar problem in MATLAB central https://www.mathworks.com/matlabcentral/answers/381118-lsim-with-two-input-signal

Thanks a lot all of contributions

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