Consider the flexible robot arm system below: Controller Flexible arm $R(s)$+$ -$ $\frac{K(s + 0.6)}{s}$ $\frac{1}{s(s^2 + 9s + 12)}$ $Y(s)$ Select K (trial and error) so that the system has the maximum phase margin.
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The transfer function of the system can be obtained by multiplying the transfer functions of the controller, flexible arm, and the reference input. In this case, the transfer function is given as: G(s) = K(s + 0.6) / [s(s^2 + 9s + 12)] Show more…
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Note: One cheat sheet of US letter size allowed. Close Book exam. 1. Obtain Bode plot for the system represented by (s+10)/(s(s+5)^2). Comment on stability of the system and estimate phase margin and gain margin. (15) 2. The open loop function of unity feedback system is given by 4/(s+1). Find the nature of response of the closed loop system for a unit step input. Also calculate rise time, peak time, peak overshoot and settling time of the system. (15) 3. A unity feedback control system has the open-loop function as 5/(s(s+2)). Find the unit step-response of the system considering controller transfer function as (2s + 3). (10) 4. Determine the transfer function R(s)/C(s) for the Block Diagram shown in Figure below: (10)
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