Event‐triggered H∞ control for a class of nonlinear networked control systems using novel integral inequalities

• Published in: International journal of robust and nonlinear control Vol. 27; no. 4; pp. 679 - 700
• Main Authors: Zhang, Xian‐Ming, Han, Qing‐Long
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.03.2017
• Subjects: event‐triggered transmission scheme; H∞ state feedback control; integral inequality; nonlinear networked control system
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.3598

Summary This paper is concerned with event‐triggered H∞ control for a class of nonlinear networked control systems. An event‐triggered transmission scheme is introduced to select ‘necessary’ sampled data packets to be transmitted so that precious communication resources can be saved significantly. Under the event‐triggered transmission scheme, the closed‐loop system is modeled as a system with an interval time‐varying delay. Two novel integral inequalities are established to provide a tight estimation on the derivative of the Lyapunov–Krasovskii functional. As a result, a novel sufficient condition on the existence of desired event‐triggered H∞ controllers is derived in terms of solutions to a set of linear matrix inequalities. No parameters need to be tuned when controllers are designed. The proposed method is then applied to the robust stabilization of a class of nonlinear networked control systems, and some linear matrix inequality‐based conditions are formulated to design both event‐triggered and time‐triggered H∞ controllers. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.