Adaptive event-triggered control for nonlinear discrete-time systems

• Published in: International journal of robust and nonlinear control Vol. 26; no. 18; pp. 4104 - 4125
• Main Authors: Hu, Songlin, Yue, Dong, Yin, Xiuxia, Xie, Xiangpeng, Ma, Yong
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 01.12.2016; Wiley Subscription Services, Inc
• Subjects: Adaptive control systems; adaptive event-triggering scheme; auxiliary variable; Control systems; Design engineering; Discrete time systems; discrete-time nonlinear systems; Linear systems; Nonlinearity; Parameters; Performance indices; static event-triggering scheme
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.3550

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.