# HW5 - K s s 2 3 s 3 in the forward path where K ≥ 0(a...

This preview shows page 1. Sign up to view the full content.

ECE 313 – Fall 2010 Homework # 5 Due Monday, October 11, 2010 1. Consider a unity feedback system with the transfer function G ( s ) in the forward path. For each of the following cases, use the Routh-Hurwitz Criterion to ﬁnd how many closed-loop poles are in the right-half plane, in the left-half plane, and on the imaginary axis. In each case state whether or not the closed-loop system is stable. (a) G ( s ) = 5 s + 1 s 2 ( s + 1) (b) G ( s ) = 20 s ( s 3 + 10 s 2 + 35 s + 50 (c) G ( s ) = s - 1 s ( s + 4)( s + 6) 2. Consider a unity feedback system with the transfer function G ( s ) =
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: K s ( s 2 + 3 s + 3) in the forward path, where K ≥ 0. (a) Find the range of K for stability. (b) Find the frequency of oscillation when the system is marginally stable. (c) What is the system type? (d) Find K p , K v and K a . (e) Find the steady state error for an input of 10 u ( t ) and 10 tu ( t ). (f) Can you choose K such that the steady state error is less than 0 . 1 in each of the two cases of part (e)? 3. Problem 40 of Chapter 7: Parts (a), (c), and (e) only. 1...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online