Answer Happy

You have recently been employed to salvage the situation. Your boss has informed you that the objective of the task is to design a new controller that guarantees the stability of the unity feedback system while satisfying the following transient and steady-state performance requirements: Settling time < 2.25 seconds, Peak time < 3 seconds, Steady-state error 5 +7%. .
(d) Suggest suitable controller(s) that could satisfy the design requirements. Note: maximum marks will be awarded for answers that contain a concise, thoughtful justification of the proposed controller(s). [4 marks] (e) A compensator of the form shown in equation (2.1) is implemented to address the design requirements. (s + 2)2 (2.1) G(S) = Kc Design the compensator parameters using the root-locus magnitude and angle criteria technique. [6 marks] (f) Show that the compensator in equation (2.1) satisfies both the transient and steady-state design requirements and, as such, that your boss is pleased with you. [3 marks] S