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Sun, Min; Huang, Ling; Wang, Shen; Mao, Cui; Xie, Wenbo

Quantized control of event-triggered networked systems with time-varying delays. (English) Zbl 1425.93187

J. Franklin Inst. 356, No. 17, 10368-10392 (2019).
Summary: The paper is a study of quantized control for stochastic Markov jump systems with interval time-varying delays and bounded system noise under event-triggered mechanism. A new scheme of Lyapunov-Krasovskii functional which contains the quadratic terms and integral terms is presented. Then quadratic convex technology, the theory of stochastic switching system, and logarithmic quantizer are applied to this paper. The design of quantized controller is obtained with those methodologies. Different from previous results, our derivation applies the idea of second-order convex combination. The conservatism of stability criteria for systems is reduced by using this method. A numerical example under different conditions is given to demonstrate the effectiveness and validity of the new design techniques.

Cited in 8 Documents

MSC:

93C65 Discrete event control/observation systems
93E15 Stochastic stability in control theory
93A14 Decentralized systems
93D09 Robust stability
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)

Keywords:

event-triggered networked systems; quantized control; stochastic switching system
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References:

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