Event-triggered controller design for linear systems with saturated input and bounded disturbance

Abstract

This paper deals with the stabilisation problem of linear systems subject to saturated input and bounded disturbance via event-triggered control strategy. In a hybrid systems framework, both a state feedback law and a static output feedback law are proposed to design the event-triggered controllers, which provide solutions to the event-triggered control collaborative design problem. For the case of using static output feedback, an iterative linear matrix inequality algorithm is proposed to obtain the feedback gain. In addition, the local uniform ultimate boundedness of the closed-loop system is ensured. Finally, two examples are given to illustrate the effectiveness of the proposed controllers.

Keywords:

• Hybrid system
• event-triggered control
• saturated input
• bounded disturbance
• static output feedback
• linear matrix inequality

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by China Postdoctoral Science Foundation [grant number 2018M642160] and Natural Science Foundation of Jiangsu Province [grant number BK20201340].

Notes on contributors

Xu Cai

Xu Cai received his B.Eng. degree in automatic control from the School of Internet of Things, Jiangnan University, Wuxi, China, in 2017. He is working toward the Ph.D.degree in the School of Internet of Things, Jiangnan University, China. His current research interests include nonlinear systems and hybrid control.

Xuyang Lou

Xuyang Lou received his Ph.D. degree in control theory and control engineering from Jiangnan University, Wuxi, China, in 2009. In 2010, he joined the School of Communication and Control Engineering, Jiangnan University. From October 2007 to October 2008, he was a visiting scholar in the CSIRO Division of Mathematical and Information Sciences, Adelaide, Australia. From July to November 2010, he was a Postdoctoral Fellow in the Department of Electrical Engineering (ESATSCD/SISTA), Katholieke Universiteit Leuven. From July 2014 to February 2015, he visited the Computer Engineering Department, University of California, Santa Cruz, USA. He is currently Associate Professor with Jiangnan University. His current research interests include hybrid systems, computational intelligence, and control of neural oscillators.

Wei Wu

Wei Wu received the Mater’s degree from the School of Internet of Things, Jiangnan University,Wuxi, China, and the Ph.D. degree from the University of Kaiserslautern, Germany. He is currently an associate professor in the School of Internet of Things of Jiangnan University. His research interests include event-triggered control and nonlinear systems.