Abstract
In this paper, we study the stabilization problem for a class of linear systems with a time-varying state delay. An event-triggered static output feedback controller is proposed, such that the sampling frequency and the update time of the controller are both lowered. First, we present a novel event-triggering mechanism depending not only on the output but also on an exponential term, with which less sampling is required and Zeno behavior can be excluded at the same time. Some sufficient conditions are then obtained, under which an exponential convergence can be achieved by means of the comparison principle approach. It is further shown that the parameters design can be easily given if the case reduces to the state feedback control. Moreover, two examples are presented to show the effectiveness of the results.
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Recommended by Associate Editor Shihua Li under the direction of Editor PooGyeon Park. This work was supported in part by the National Natural Science Foundation of China (Grant No. 61803392), the China Postdoctoral Science Foundation in Central South University, the Hunan Provincial Natural Science Foundation of China (Grant No. 2018JJ3685), the 111 Project (B17048), and the Qatar National Research Fund under National Priority Research Project NPRP 9-166-1-031.
Xiaoli Wang is an Associate professor at the School of Automation, Central South University, Changsha, China. She received her B.S., M.S., and Ph.D. degrees from Central South University, Changsha, China, in 2004, 2006, and 2011, respectively. Her research interests include modeling of complex industrial process and intelligent information processing.
Peng Xiang is an M.S. candidate at the School of Automation, Central South University, Changsha, China. She received her B.S. degree from Central South University, Changsha, China, in 2017. Her research interests include event-triggered control, cooperative control and distributed H¥ control.
Wenfeng Hu is an Associate professor at the School of Automation, Central South University, Changsha, China. He received his B.Sc. degree in information and computing science from Chongqing University of Technology, Chongqing, China, in 2009, an M.Eng. degree in computer software and theory from Chongqing University, Chongqing, China, in 2012, and a Ph.D. degree in mechanical and biomedical engineering from City University of Hong Kong, Hong Kong, in 2016. His current research interests include multi-agent systems, event-triggered control, and output regulation.
Tingwen Huang is a Professor at the Texas A&M University at Qatar, Doha, Qatar. He received his B.S. degree from Southwest Normal University (now Southwest University), China, in 1990, his M.S. degree from Sichuan University, China, in 1993, and his Ph.D. degree from Texas A&M University, College Station, Texas, in 2002. After graduated from Texas A&M University, he worked as a Visiting Assistant Professor there. Then he joined Texas A&M University at Qatar (TAMUQ) as an Assistant Professor in August 2003, then he was promoted to Professor in 2013. Dr. Huang’s focus areas for research interests include neural networks, computational intelligence, chaotic dynamical systems, complex networks, optimization and control.
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Wang, X., Xiang, P., Hu, W. et al. Event-triggered Stabilization of Linear Time-delay Systems by Static Output Feedback Control. Int. J. Control Autom. Syst. 18, 2857–2866 (2020). https://doi.org/10.1007/s12555-019-0440-7
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DOI: https://doi.org/10.1007/s12555-019-0440-7