Delay-Dependent Stability and \(H_{\infty }\) Control for 2-D Markovian Jump Delay Systems with Missing Measurements and Sensor Nonlinearities

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• 作者：Jiangtao Dai ; Ge Guo
• 关键词：Markovian jump linear systems ; 2 ; D systems ; Missing measurements ; Sensor nonlinearities ; Time ; delayed systems
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：36
• 期：1
• 页码：25-48
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Circuits and Systems; Electrical Engineering; Signal,Image and Speech Processing; Electronics and Microelectronics, Instrumentation;
• 出版者：Springer US
• ISSN：1531-5878
• 卷排序：36

文摘

This paper investigates the problem of stability and \({H}_\infty \) control for 2-D time-delayed Markovian jump systems with missing measurements and sensor nonlinearities. The measured signals transmitted between the system and the controller are supposed to be imperfect, which involves missing measurements and sensor nonlinearities. The data missing is described by a random variable that obeys the Bernoulli binary distribution, and the sensor nonlinearities are assumed to satisfy the sector conditions. The problem addressed is the design of an output feedback controller such that the resulting closed-loop system is mean-square asymptotically stable and has a prescribed \({H}_\infty \) performance level. By using the Lyapunov method and the discrete Jensen inequality, stability criteria and \({H}_\infty \) performance level are established, and then, the controller design problem is cast into optimization problems via two methods. Finally, a numerical example is exploited to illustrate the effectiveness of the proposed design method.