Solution Found!
Consider the unity feedback system of Figure P9.1, with Gs
Chapter 9, Problem 18(choose chapter or problem)
Consider the unity feedback system of Figure P9.1, with
G(s) = \(\frac{K}{(s+3)(s+5)}\)
a. Show that the system cannot operate with a settling time of 2/3 second and a percent overshoot of 1.5 % with a simple gain adjustment.
b. Design a lead compensator so that the system meets the transient response characteristics of Part a. Specify the compensator’s pole, zero, and the required gain.
Questions & Answers
QUESTION:
Consider the unity feedback system of Figure P9.1, with
G(s) = \(\frac{K}{(s+3)(s+5)}\)
a. Show that the system cannot operate with a settling time of 2/3 second and a percent overshoot of 1.5 % with a simple gain adjustment.
b. Design a lead compensator so that the system meets the transient response characteristics of Part a. Specify the compensator’s pole, zero, and the required gain.
ANSWER:Step 1 of 6
(a) Open loop transfer function is given by,