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Part 2: Controller Design Part<br/>For the systems shown in Figure

(c), design a gain compensator to yield 10-20% overshoot and a state-feedback controller using pole placement topology to produce 10-20% overshoot with 2-10 seconds settling time. For the state-feedback design, the steady-state error must approximately equal to zero. In your design methodology, the following information must be clearly described and explained:
        i.           Stability analysis of the system by using Routh-Hurwitz method.
      ii.           Open-loop response plot.
    iii.           A detail design procedure of gain compensator and state-feedback controller.
    iv.           Closed-loop plot.
      v.           Details analysis of the results.
    vi.           Comparison between the output responses of the designed controllers. This includes in term of the difficulty in designing them.
  vii.           A detail discussion must be made based on the obtained results.



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