H/sup infinity / control for nonlinear systems with output feedback

The basic question of nonlinear H/sup infinity / control theory is to decide, for a given two-port system, when feedback that makes the full system dissipative and internally stable exists. This problem can also be viewed as a question about circuits, and, after translation, also has a game-theoreti...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1993-04, Vol.38 (4), p.546-559
Main Authors: Ball, J.A., Helton, J.W., Walker, M.L.
Format: Article
Language:English
Subjects:
Circuits
Control systems
Control theory
H infinity control
Nonlinear control systems
Nonlinear equations
Nonlinear systems
Output feedback
Riccati equations
State-space methods
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Summary:The basic question of nonlinear H/sup infinity / control theory is to decide, for a given two-port system, when feedback that makes the full system dissipative and internally stable exists. This problem can also be viewed as a question about circuits, and, after translation, also has a game-theoretic statement. Several necessary conditions for solutions to exist are presented, and sufficient conditions for a certain construction to lead to a solution are given.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.250523