Asynchronous nonfragile guaranteed performance control for singular switched positive systems: An event‐triggered mechanism

• Published in: International journal of robust and nonlinear control Vol. 34; no. 17; pp. 11451 - 11468
• Main Authors: Wang, Jinling, Li, Qiang, Li, Shuo, Zhang, Linzhong
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 25.11.2024
• Subjects: asymptotical stability; asynchronous nonfragile control; Control systems; Controllers; event‐triggered scheme; Liapunov functions; Linear programming; positivity; singular switched systems
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.7580

Summary This paper addresses the guaranteed performance control problem for a class of singular switched positive systems, where the switching signal is subject to a state‐dependent process. Firstly, the causality, regularity, positivity, and asymptotical stability of the considered systems are discussed. In order to prevent the occurrence of data collisions and reduce the consumption of communication resources, the event‐triggered (E‐T) mechanism is applied. This is one of the initial attempts to introduce the E‐T scheme for such special systems. Besides, an asynchronous nonfragile controller under the E‐T scheduling scheme is designed to make certain that the resulting closed‐loop systems are causal, regular, positive, asymptotically stable, and have a guaranteed performance value J∗$$ {J}^{\ast } $$. Through the application of the co‐positive Lyapunov function method and the min‐projection strategy, the corresponding sufficient conditions are given in the form of linear programming (LP). Finally, the effectiveness of the controller proposed in this paper is verified via two simulation examples.