Answer Happy

8(5) Problem 2: (30+20 Points) In this problem, use the poles you need from the following: P. =-1+1 P. =-1-j P: = -1 P = -2 An LTI SISO system has the extemal, transfer function, representation; 1 5-2 For this system you have to design compensator for pole placement employing unit feedback scheme. a- What is the degree of a minimum order compensator that results in a stable compensated system? Design this minimum order compensator. Is the resulting compensated system capable of regulation? Prove your assertion Is the resulting system capable of tracking a constant input other than zero? Prove your assertion. Is the resulting system capable of rejecting a constant input disturbance? Prove your assertion 6- Design a compensator that will result in a compensated system capable of tracking a constant and rejecting constant disturbance at the input. Try to use a compensator with the least order possible. - Optional for 20 points) Design a compensator that will make the compensated system be capable of rejecting a ramp noise disturbance at the input of the form w(t)= a t. Try to use a compensator with the least order possible.