Linear Controller Design: Limits of Performance by Stephen Boyd and Craig Barratt - HTML preview

PLEASE NOTE: This is an HTML preview only and some elements such as links or page numbers may be incorrect.
Download the book in PDF, ePub, Kindle for a complete version.

CHAPTER 8 PERFORMANCE SPECIFICATIONS

might be

env cmb =

( min( ) c( ) max( ) for 0

10) 0 90

H

f

H

j

Prob

s

t

z

t

s

t

t

:

g

where c = cc c + cd d, c is a unit step, and d is a white noise. Roughly

z

H

w

H

w

w

w

speaking, the speci cation env cmb requires at least a 90% probability that the

H

envelope constraint env be satis ed over the rst ten seconds. env cmb limits the

H

H

e ect the (stochastic) disturbance can have during a command step input however,

we do not know whether env cmb is convex.

H

index-204_1.png

index-204_2.png

index-204_3.png

index-204_4.png