An event-triggered approach to finite-time observer-based control for Markov jump systems with repeated scalar nonlinearities. (June 2018)

• Record Type: Journal Article
• Authors: Li, Jingyu; Shen, Liang; Yao, Fengqi; Zhao, Huanyu; Wang, Jing
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 40:Number 9(2018)
• Page Start: 2789
• Page End: 2797
• Publication Date: 2018-06
• Subjects: Observer-based control -- finite-time control -- repeated scalar nonlinear systems -- event-triggered scheme -- Markov jump systems; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331217720975
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper studies the issue of finite-time observer-based control via an event-triggered scheme for Markov jump repeated scalar nonlinear systems. An observer-based controller via an event-triggered scheme is proposed, which can save the limited network communication bandwidth effectively, so that the resulting error system is stochastically finite-time bounded. Based on the positive definite diagonally dominant matrix and the Lyapunov function technique, a sufficient condition is presented for the solvability of the addressed problem, and the desired observer-based controller can be constructed via a convex optimization problem. In the end, a simulation example is employed to show the validity and practicability of the proposed design method.