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How do I define input and output in state space model?
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Hello everyone,
I´m doing a model for vehicle dynamics with a state space model. The state space model block includes the vehicle dynamics in matrix forms. However in the state space- block I can define just the A,B,C and possible D matrices. In the state space representation there are also dxdt (state variable derivatives), x (state variables), y (output vector) and u (input vector).
Is the u (input vector) the signal which comes into the state-space block input port in a form of vector?
Is the y (output vector) the signal which comes out of the state-space block output port in a form of vector?
Where do I include the x and it´s derivative dxdt?
Can I have a different name for the x? For example I would use v instead of x?
Thank you for helping me!
-Ion
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Answers (2)
Azzi Abdelmalek
on 8 Dec 2012
If you have a MIMO system with 3 inputs and 2 outputs, use Mux block with 3 inputs and Demux block with 2 outputs.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/172111/image.png)
For your last question, the State Space block represent your Differential equation
1 Comment
Aryan Singh
on 24 Oct 2021
what if we have 2 inputs and 3 outputs? Also the inputs are displacement and its derivative(velocity)
Ion
on 9 Dec 2012
2 Comments
Azzi Abdelmalek
on 9 Dec 2012
Edited: Azzi Abdelmalek
on 9 Dec 2012
Yes, your system is defined by (A,B,C,D), the State Space block needs those matrices to simulate your equations, like written in the block
MADDEPPA PUJARI
on 11 Oct 2021
@Azzi Abdelmalek A, B,C, D are in matrix form thats fine how to define multiple input to state space model in matlab, like how to feed u1,u2,u3,u4... values at same time
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