H∞ control for uncertain discrete-time MJSs with piecewise-constant transition probabilities subject to multiple intermittent sensor faults. Issue 15 (October 2020)

• Record Type: Journal Article
• Authors: He, Zhang; Lu, Junwei; Chu, Yuming; Li, Yongmin; Xu, Shengyuan; Zhang, Zhengqiang
• Is Part Of: Journal of the Franklin Institute. Volume 357:Issue 15(2020)
• Page Start: 10211
• Page End: 10226
• Publication Date: 2020-10
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2020.04.027
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper addresses the problem of H ∞ control for an uncertain discrete-time Markov jump system subject to multiple intermittent sensor faults. The intermittent fault considered in this paper is formulated as a probabilistic event and is additive to the normal signal of a sensor in systems. The occurrence of the intermittent fault is assumed to satisfy the Bernoulli random binary distribution which takes values of either 0 or 1. The nonlinearity is related to time-varying delay and satisfies a sector-bounded condition. The Markov chain is considered as finite piecewise-constant. To keep the desired performance of the faulted system, a dynamic full-order output-feedback controller is presented. By using the Lyapunov method and inequality techniques, exponential mean-square stability criteria of the fault-free closed-loop system are obtained and a design of the dynamic full-order output-feedback controller is given. Finally, a numerical example is given to show effectiveness and advantage of the obtained results.