Delay-dependent H∞ Control for a Class of Uncertain Time-delay Singular Markovian Jump Systems via Hybrid Impulsive Control

다국어 초록 (Multilingual Abstract)

This paper deals with the problem of robust normalization and delay-dependent H∞ control for a classof singular Markovian jump systems with norm-bounded parameter uncertainties and time delay. A new impulsiveand proportional-derivative control strategy with memory is presented, which results in a novel class of hybridimpulsive systems. Sufficient conditions are developed to guarantee that the resultant closed-loop system is notonly robust normal and stochastically stable, but also satisfies a prescribed H¥ performance level for all delays nolarger than a given upper bound. In addition, the explicit expression of the desired impulsive control gains is alsogiven together with the design approach. Finally, two numerical examples are provided to illustrate the effectivenessof the proposed methods.

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