The mass-spring-damper mechanical system depicted in Figure 1 below has the following differential-equation mathematical model: -my^()(t)-Cy^()(t)-Ky(t)+P(t)=0 Figure 1: Mass-spring-damper system 3.1 By deriving the (unity-feedback) closed-loop transfer function of the system, determine the maximum percentage overshoot and settling time of the

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The mass-spring-damper mechanical system depicted in Figure 1 below has the following differential-equation mathematical model:

-my^(¨)(t)-Cy^(˙)(t)-Ky(t)+P(t)=0

Figure 1: Mass-spring-damper system 3.1 By deriving the (unity-feedback) closed-loop transfer function of the system, determine the maximum percentage overshoot and settling time of the system when subjected to a step input 3.2 Design a state feedback controller for the system so that the percentage overshoot and settling time of the state feedback-controlled system are both halved compared to those of the uncompensated system (determined in (2.1)). Be sure to show all the working

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