Non-Fragile Exponential Stability Assignment of Discrete-Time Linear Systems With Missing Data in Actuators

This technical note is concerned with the non-fragile exponential stabilization for a class of discrete-time linear systems with missing data in actuators. The process of missing data is modeled by a discrete-time Markov chain with two state components. When no uncertainty exists in the controllers,...

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Veröffentlicht in:IEEE transactions on automatic control 2009-03, Vol.54 (3), p.625-630
Hauptverfasser: Zhan Shu, Lam, J., Junlin Xiong
Format: Artikel
Sprache:eng
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Zusammenfassung:This technical note is concerned with the non-fragile exponential stabilization for a class of discrete-time linear systems with missing data in actuators. The process of missing data is modeled by a discrete-time Markov chain with two state components. When no uncertainty exists in the controllers, a necessary and sufficient condition, which not only guarantees the exponential stability but also gives a lower bound on the decay rate, is established in terms of linear matrix inequalities (LMIs). Based on this condition, an LMI-based approach is provided to design a non-fragile state-feedback controller such that the closed-loop system is exponentially stable with a prescribed lower bound on the decay rate for the known missing data process and all admissible uncertainties in controllers. A numerical example is provided to show the effectiveness of the theoretical results.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2008.2009598