MATLAB: ODE to state space

state-space model

i have a set of 7 odes(7 state variables,5inputs).Is der any way to convert this to state space model or transfer func model in MATLAB?

Best Answer

If they are symbolic, likely the best you can do is to use the odeToVectorField function, and then matlabFunction. This will produce a ‘companion-form’ matrix that you can use as your ‘A’ matrix (in an A B C D state-space representation).
Unless your ODEs are linear with constant coefficients, you cannot produce a linear matrix representation, and will have to use numerical integration.