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Unstable and nonproper weights in H∞ control

✍ Scribed by Gjerrit Meinsma

Book ID
102640349
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
445 KB
Volume
31
Category
Article
ISSN
0005-1098

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✦ Synopsis

An XX control problem is examined in which the controller can and need only stabilize a part of the generalized closed loop due to unstable weights. The procedure is a simple extension of known results, and is computationally the easiest method available.

1. The problem

We examine the mixed sensitivity problem depicted in Fig. 1. In this diagram P represents the given plant, K the controller to be constructed, and W,, W, and V weights chosen in such a way that stabilizing controllers that make the infinity norm of the transfer matrix Hz= W,(I + PK)-'V -W,K(I + PK)-'V 1

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