Question

a) Knowing the format of state space representation: \dot{x}=A x+B u y=C x+D u If a second order system is modeled in a state space representation, what will be the dimensions of Aand B matrix? b) Consider a system modeled via the third order differential equation: \dddot{x}+3 \ddot{x}+4 \dot{x}+x=5 \dot{u}+u Where, x(t) is displacement, u(t) is force. Develop a state space representation for the system. The desired output is all state variables.

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