Consider the unitary negative feedback system depicted in Figure 3, where R (s) and Y(s) stand respectively for Laplace

[answerhappygod]

Consider The Unitary Negative Feedback System Depicted In Figure 3 Where R S And Y S Stand Respectively For Laplace 1 (58.78 KiB) Viewed 21 times

Consider the unitary negative feedback system depicted in Figure 3, where R (s) and Y(s) stand respectively for Laplace transforms of the system's input and the system's output and a is a specific gain Y(s) R(S) a s(s+ 2) Figure 3: Negative feedback system The system response to a unit step input is specified as follows: • Peak time Tp = 1.1 sec • Maximum overshoot Mp = 0.05 1. A) Determine the expression of the closed-loop transfer function. Specify the system's order B) Find the expression of the natural frequency wo in function of a C) Find the expression of the damping coefficient in function of a 2. Determine the expression of the damping coefficient in function of Mp 3. Determine the expression of the natural frequency wo in function of Mpand tp 4. Determine whether both specifications (the peak time and the maximum overshoot) can be met simultaneously for the same value of a. Justify your answer