Premium
GLOBAL ROBUST H ∞ CONTROL OF A CLASS OF NONLINEAR SYSTEMS
Author(s) -
Nguang Sing Kiong
Publication year - 1997
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(199701)7:1<75::aid-rnc207>3.0.co;2-0
Subject(s) - lipschitz continuity , bounded function , nonlinear system , class (philosophy) , computer science , state (computer science) , control theory (sociology) , controller (irrigation) , function (biology) , noise (video) , control (management) , mathematics , pure mathematics , algorithm , mathematical analysis , artificial intelligence , image (mathematics) , physics , quantum mechanics , evolutionary biology , agronomy , biology
This paper considers the problem of robust disturbance attenuation for a class of systems with both Lipschitz bounded and nonlinear uncertainties. The nonlinear uncertainty is assumed to satisfy a ‘matching condition’ and bounded by a known nonlinear function. The Lipschitz bounded one could be with any mismatched uncertainties. We develop a Riccati equation approach for designing a state feedback controller such that the so‐called ℒ 2 ‐gain from the exogenous input noise to the state is minimized or guaranteed to be no larger than a prescribed value. © 1997 by John Wiley & Sons, Ltd.