For the following single-input/single-output linear system find a state-variable model: a) One that has a phase-canonical-form...

 

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For the following single-input/single-output linear system find a state-variable model: a) One that has a phase-canonical-form state equation, and b) one that has a diagonal-form state equation. Y(s) U(s) (s+2)(S-2) (s+1)(s+3)(S-1) Use just one of the state-variable models (any one of your choices), create a MATLAB Simulink model, in which each of the states is initialized to a value of 1.5. Let the external input u(t) be a sinusoid signal of amplitude 1 and frequency 1Hz. Show the output y(t) over a short time duration, say tfinal = 2 [s] (or smaller if needed, because the system is unstable due to the pole at s=1 and therefore the output diverges to infinity very fast). For the following single-input/single-output linear system find a state-variable model: a) One that has a phase-canonical-form state equation, and b) one that has a diagonal-form state equation. Y(s) U(s) (s+2)(S-2) (s+1)(s+3)(S-1) Use just one of the state-variable models (any one of your choices), create a MATLAB Simulink model, in which each of the states is initialized to a value of 1.5. Let the external input u(t) be a sinusoid signal of amplitude 1 and frequency 1Hz. Show the output y(t) over a short time duration, say tfinal = 2 [s] (or smaller if needed, because the system is unstable due to the pole at s=1 and therefore the output diverges to infinity very fast).