Given the unity feedback system of Figure P9.1 with Gs K s
Chapter 9, Problem 19(choose chapter or problem)
Given the unity feedback system of Figure P9.1 with
G(s) = \(\frac{K}{(s+2)(s+4)(s+6)(s+8)}\)
Find the transfer function of a lag-lead compensator that will yield a settling time 0.5 second shorter than that of the uncompensated system. The compensated system also will have a damping ratio of 0.5, and improve the steady-state error by a factor of 30 . The compensator zero is at -5. Also, find the compensated system's gain. Justify any second-order approximations or verify the design through simulation. [Section: 9.4]
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