#4: DC Motor Position Control using Proportional & Integral Controller Consider the following feedback control system...

 

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#4: DC Motor Position Control using Proportional & Integral Controller Consider the following feedback control system R(s) + K(s) G, (s) r(t) E(s) e(t) Assume G₂ (s) = U(s) u(t) Y(s) y(t) Y(s) 10 and K(s) = K, which is a proportional controller. U(s) s(s+1) (2a) Find the transfer functions of the closed-loop system, Y(s) E(s) and R(s) R(s) (2b) How to choose the value of K to achieve a desired damping ratio? (2c) What is the characteristic equation of the closed-loop system? What are the poles of the closed-loop system? (2e) Describe what determines the maximum overshoot and the time it occurs. #4: DC Motor Position Control using Proportional & Integral Controller Consider the following feedback control system R(s) + K(s) G, (s) r(t) E(s) e(t) Assume G₂ (s) = U(s) u(t) Y(s) y(t) Y(s) 10 and K(s) = K, which is a proportional controller. U(s) s(s+1) (2a) Find the transfer functions of the closed-loop system, Y(s) E(s) and R(s) R(s) (2b) How to choose the value of K to achieve a desired damping ratio? (2c) What is the characteristic equation of the closed-loop system? What are the poles of the closed-loop system? (2e) Describe what determines the maximum overshoot and the time it occurs.

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