4. (15 points) Consider the feedback stabilization of plant P(s) using controller C(s) as shown in Fig. 3, where the sta

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4 15 Points Consider The Feedback Stabilization Of Plant P S Using Controller C S As Shown In Fig 3 Where The Sta 1 (39.38 KiB) Viewed 50 times

4. (15 points) Consider the feedback stabilization of plant P(s) using controller C(s) as shown in Fig. 3, where the state-space representation of the plant P(s) takes = + 1 2 04 20] " u (1) y = . w и P(s) u W C($) Figure 3: Diagram of the system for problem 3 (1) Find the poles of the plant P(s). Can this plant be internally stabilized by a propor- tional feedback controller C(s) = k? Why? (2) Design a proper controller C(s) of the smallest order such that the closed-loop system is internally stable.