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5.1) For what values of a is the system controllable? 5.2) Show that applying full-state feedback, for a step input of r(t) = 5, the system yields a finite steady-state error. Show the value of the steady-state error. 5.3) Show that adding an integral controller to the closed-loop system in state-space, results in the elimination of the steady-state error. 5.4) What is the order of the system with just a state feedback controller? What is the order of the system when you include the integrator? 0 -5 x- a y = [ 1 0 ]x

5.1) For what values of a is the system controllable? 5.2) Show that applying full-state feedback, for a step input of r(t) = 5, the system yields a finite steady-state error. Show the value of the steady-state error. 5.3) Show that adding an integral controller to the closed-loop system in state-space, results in the elimination of the steady-state error. 5.4) What is the order of the system with just a state feedback controller? What is the order of the system when you include the integrator? 0 -5 x- a y = [ 1 0 ]x

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5.1) For what values of a is the system controllable? 5.2) Show that applying full-state feedback, for a step input of r(t) = 5, the system yields a finite steady-state error. Show the value of the steady-state error. 5.3) Show that adding an integral controller to the closed-loop system in state-space, results in the elimination of the steady-state error. 5.4) What is the order of the system with just a state feedback controller? What is the order of the system when you include the integrator? 0 -5 x- a y = [ 1 0 ]x
Transcribed Image Text:5.1) For what values of a is the system controllable? 5.2) Show that applying full-state feedback, for a step input of r(t) = 5, the system yields a finite steady-state error. Show the value of the steady-state error. 5.3) Show that adding an integral controller to the closed-loop system in state-space, results in the elimination of the steady-state error. 5.4) What is the order of the system with just a state feedback controller? What is the order of the system when you include the integrator? 0 -5 x- a y = [ 1 0 ]x
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