Consider a plant whose transfer function is given by H(s) = = Y(s) U(s) S =...

 

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Consider a plant whose transfer function is given by H(s) = = Y(s) U(s) S = s+4s-5 1. Write a set of state equations that describes this system in the standard control canon- ical form as Ax + Bu and y = Cx. 2. Design a control law of the form u = - [k k2] that will place the closed loop poles at poles [P1, P2] ([ki k2] will be symbolic). 3. Design an observer with all the observer poles at -10. Consider a plant whose transfer function is given by H(s) = = Y(s) U(s) S = s+4s-5 1. Write a set of state equations that describes this system in the standard control canon- ical form as Ax + Bu and y = Cx. 2. Design a control law of the form u = - [k k2] that will place the closed loop poles at poles [P1, P2] ([ki k2] will be symbolic). 3. Design an observer with all the observer poles at -10.