This paper considers the problem of robust Hinfinity control of linear systems with norm-bounded, time-varying, uncertainities in the system and input matrices. Necessary and sufficient conditions are derived that guarantee quadratic stability with Hinfinity disturbance attenuation for all admissible uncertainities via static output feedback. Two methods are proposed for the solution of the resulting non-convex problem without guaranteed tractabiliy. When these conditions are satisfied, a formula for the robust Hinfinity controllers is given. Since dynamic output feedback controllers of fixed order can be reformulated as static output feedback controllers for an equivalent augmented system, the results apply to dynamic output feedback as well. Examples are included to demonstrate the application of the results.
Robust Hinfinity control of uncertain linear systems via static output feedback
Stabile H<sub>unendlich</sub> Steuerung unsicherer linearer Systeme durch statische Rückkopplung
1995
7 Seiten, 2 Bilder, 9 Quellen
Aufsatz (Konferenz)
Englisch
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