ECE535_10S_hw7

ECE535_10S_hw7 - ECE 535 DISCRETE TIME SYSTEMS HOMEWORK...

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

View Full Document Right Arrow Icon
ECE 535 DISCRETE TIME SYSTEMS SPRING 2010 HOMEWORK ASSIGNMENT #7 Due: 21 April 2010 1. In this problem you’ll design a state variable controller for a plant described by Y ( s ) = 1 s (10 s + 1) U ( s ) . (a) Write down state variable equations ˙ x ( t ) = F x ( t ) + G u ( t ) y ( t ) = H x ( t ) that describe the plant when x ( t ) = y ( t ) ˙ y ( t ) . (b) Let T = 1 and design a state feedback law u ( k ) = r ( k ) - K x ( k ) that places the controlled system’s poles at locations equivalent to s = - (1 / 2) ± j ( 3 / 2). Plot the response to a step input r ( k ) for the resulting design. (c) Design a deadbeat predictor estimator (that is, all poles of the estimator are at z = 0). (d) Use the estimated states for computing the control, while also introducing the ref- erence input so as to leave the state estimate undisturbed. Plot the step response from this reference input. Also plot the step response from a step disturbance acting at the plant input. (That is, u ( k
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This document was uploaded on 02/08/2012.

Page1 / 2

ECE535_10S_hw7 - ECE 535 DISCRETE TIME SYSTEMS HOMEWORK...

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