Sampled-data mixed H ∞ and passive control for attitude stabilization and vibration suppression of flexible spacecrafts with input delay

This paper deals with the problem of mixed H ∞ and passive control for flexible spacecrafts subject to nonuniform sampling and time-varying delay in the input channel. An impulsive observer-based controller is introduced and the resulting closed-loop system is a hybrid system consisting of a continu...

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Veröffentlicht in:Journal of vibration and control 2018-11, Vol.24 (22), p.5401-5417
Hauptverfasser: Zhu, Baolong, Zhang, Zhiping, Suo, Mingliang, Chen, Ying, Li, Shunli
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Sprache:eng
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Zusammenfassung:This paper deals with the problem of mixed H ∞ and passive control for flexible spacecrafts subject to nonuniform sampling and time-varying delay in the input channel. An impulsive observer-based controller is introduced and the resulting closed-loop system is a hybrid system consisting of a continuous time-delay subsystem and an impulsive differential subsystem. As a first result, we derive a generalized bounded real lemma (GBRL), that is, a generalized H ∞ performance criterion, for the impulsive differential subsystem by constructing a time-varying Lyapunov functional. Then, on the basis of this GBRL and utilizing the Lyapunov–Krasovskii approach, a sufficient condition is derived to asymptotically stabilize the closed-loop system and simultaneously guarantee a prescribed mixed H ∞ and passivity performance index. A design method is proposed for the desired controller, which can be readily constructed by solving a convex optimization problem with linear matrix inequalities (LMIs) constraints. Finally, numerical experiments are provided to support the theoretical results, and comparisons with former approaches are also discussed.
ISSN:1077-5463
1741-2986
DOI:10.1177/1077546318754681