che446_10_hw5 - Homework #5 ChE 446 Fall 2010 Problem 1....

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Homework #5 ChE 446 Fall 2010 Problem 1. Consider a standard feedback control system with process transfer function G ( s ) and controller transfer function G c ( s ). The process transfer function is, G ( s ) = K ( 1 s + 1)( 2 s + 1) where 1 > 0 and 2 > 0. The controller operates on the error E ( s ) = R ( s )- Y ( s ), where R ( s ) = G R ( s ) R ( s ). The transfer function G R ( s ) is stable. 1. Assume that G c ( s ) is a PI controller. Determine the values of K c and I that yield a stable closed-loop system in terms of the parameters of G ( s ). 2. Let G R ( s ) = 1 and G c ( s ) = K c . Find the closed-loop transfer function Y ( s ) R ( s ) and determine the values of K c that yield a stable closed-loop system. 3. Let K = 2, 1 = 2 = 1, and K c = 0 . 5. Derive the closed-loop response y ( t ) for a unit step change in r ( t ). Determine the offset. Problem 2. Consider a feedback control system described by the following equations: Y ( s ) = G p ( s ) U (...
View Full Document

This document was uploaded on 02/06/2011.

Page1 / 2

che446_10_hw5 - Homework #5 ChE 446 Fall 2010 Problem 1....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online