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Extended H∞ control — H∞ control with unstable weights

✍ Scribed by Tsutomu Mita; Xin Xin; Brian D.O. Anderson

Book ID
104105825
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
144 KB
Volume
36
Category
Article
ISSN
0005-1098

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✦ Synopsis

This paper presents a complete solution to an extended H control problem for a generalized plant comprising a physical system cascaded with weights containing poles in the closed right half-plane. Necessary and su$cient conditions for a solution to exist are obtained which guarantee closed-loop stability of the physical system and controller as well as achieving the H norm constraint on the closed loop of the transfer function matrix of the generalized plant and controller interconnection. The set of all feasible controllers is characterized. Conditions for solvability are a minimal variation on those appearing in the standard H control problem. 2000 Elsevier Science Ltd. All rights reserved.

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