Adaptive event‐triggered control for nonlinear discrete‐time systems. (14th April 2016)

• Record Type: Journal Article
• Authors: Hu, Songlin; Yue, Dong; Yin, Xiuxia; Xie, Xiangpeng; Ma, Yong
• Is Part Of: International journal of robust and nonlinear control. Volume 26:Number 18(2016)
• Page Start: 4104
• Page End: 4125
• Publication Date: 2016-04-14
• Subjects: adaptive event‐triggering scheme -- static event‐triggering scheme -- discrete‐time nonlinear systems -- auxiliary variable; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3550
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This paper focuses on the analysis and the design of event‐triggering scheme for discrete‐time systems. Both static event‐triggering scheme (SETS) and adaptive event‐triggering scheme (AETS) are presented for discrete‐time nonlinear and linear systems. What makes AETS different from SETS is that an auxiliary dynamic variable satisfying a certain difference equation is incorporated into the event‐triggering condition. The sufficient conditions of asymptotic stability of the closed‐loop event‐triggered control systems under both two triggering schemes are given. Especially, for the linear systems case, the minimum time between two consecutive control updates is discussed. Also, the quantitative relation among the system parameters, the preselected triggering parameters in AETS, and a quadratic performance index are established. Finally, the effectiveness and respective advantage of the proposed event‐triggering schemes are illustrated on a practical example. Copyright © 2016 John Wiley & Sons, Ltd.