Solving state space equation using matlab function block in simulink

2015 8 18
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更新时间：2025 7 18
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Hi, Im trying to model a synchronous machine. My present situation is, i know the A, B, C, D values and my input signal is coming from other blocks which are voltages, speed etc. State variable in my case is flux. I need to find this flux value so as to find derive current, torque etc. So how to solve this state space equation to get the state variable. I tried to read many examples but im not able to find the one I need. Any help is appreciable

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Sebastian Castro
Sebastian Castro 2015-8-18

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If you already know the A, B, C, D matrices, why not use a State-Space Simulink block, then?
- Sebastian

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leonn alexander
leonn alexander 2015-8-18
But i don't know how to use that block. And one more thing i forgot to say is, i have the equation xdot= Ax + Bu only with me. Im not concerned about y. So, i can give an input which will act as "u" in the equation, but i have to get "x", the state variable, as output. So can I use y=x as the second equation which will give me C=1 and D=0 and is that the way to do it?
Sebastian Castro
Sebastian Castro 2015-8-18
That block takes in the A, B, C, D matrices as MATLAB matrices -- not much to it!
Also yes, if y = x, then your C and D matrices are 1 and 0 respectively, as you said. For example, if your A matrix is 4x4, your C matrix is the 4-dimension identity matrix: In MATLAB, eye(4).
Mahmoud Aly
Mahmoud Aly 2025-7-18
If the state space matrix are function of variable which is varying, what is the best way to solve the state?
Sam Chak
Sam Chak 2025-7-18
Hi @Mahmoud Aly
For single-variable systems such as , you can use the Fcn block to apply the nonlinear function to its input (state variable x and input signal u). After that, connect the Fcn block to an Integrator block, which implies the output . Before clicking the Run button, specify the initial value in the Integrator block.
For multivariate systems, , with the state vector and input vector , you can use n sets of Fcn and Integrator pairs, or one MATLAB Function block and an Integrator block.

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Paul
Paul
2025-7-18

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