Quantized control of event-triggered networked systems with time-varying delays. Issue 17 (November 2019)

• Record Type: Journal Article
• Authors: Sun, Min; Huang, Ling; Wang, Shen; Mao, Cui; Xie, Wenbo
• Is Part Of: Journal of the Franklin Institute. Volume 356:Issue 17(2019)
• Page Start: 10368
• Page End: 10392
• Publication Date: 2019-11
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2018.05.041
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: 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.