How do I define input and output in state space model?

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

Answer 1

[Azzi Abdelmalek]

If you have a MIMO system with 3 inputs and 2 outputs, use Mux block with 3 inputs and Demux block with 2 outputs.

For your last question, the State Space block represent your Differential equation

[Aryan Singh]

what if we have 2 inputs and 3 outputs? Also the inputs are displacement and its derivative(velocity)

Answer 2

[Ion]

Thank you,

but what about the x and dxdt symbols in the state-space form? Are they automatically created by implementing the A,B,C and (D) in the state-space block?

Does Simulink realize the real state variables just from the A,B,C and D matrices?

-Ion

[Azzi Abdelmalek]

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]

@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