Abstract
The issue of asynchronously output-feedback control for a class of discrete-time networked switched positive systems in the presence of network-induced time delays is discussed in this paper. Due to the limited communication energy or network bandwidth, an event-triggered control strategy capable of achieving the goal of reducing the resources and the communication load is adopted. Different from the existing results, by taking full advantage of positive property of output, a mode-dependent linear weighting triggering condition is given in the paper, which can deal with the positive stabilization problem efficiently. Furthermore, an asynchronously event-triggered output-feedback controller is designed to ensure the closed loop system remain positive and exponentially stable by virtue of multiple copositive type Lyapunov-Krasovskii functional incorporated with linear programming method. Finally, a numerical example is provided to verify the results obtained.
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This work is supported by National Natural Science Foundation of China under Grants 61703134, 61803143, 62003124, the Natural Science Foundation of Hebei Province under F2019202363, Youth Foundation of Hebei Educational Committee under QN2018140, Innovative Capability Improvement Program of Hebei Province under 18961604H.
Jiao Liu received her B.S. degree in electrical engineering and automation from Ludong University, Yantai, China, in 2011, and a Ph.D. degree in control theory and control engineering from Dalian University of Technology, Dalian, China, in 2017. She is currently a Lecturer in School of Artificial Intelligence, Hebei University of Technology. Her research interests include switched positive systems, security control of cyber-physical systems and multi-agent systems.
Yake Yang received his B.S. degree in automation from Taiyuan University of Science and Technology, Taiyuan, China, in 2017 and an M.S. degree in control science and engineering from Hebei University of Technology in 2020. His research interests include switched positive systems, cyber-physical systems security and networked state estimation.
Hongchao Li received her B.S. degree in automation from Yanshan University, Yanshan, China, in 2011 and a Ph.D. degree in control science and engineering from Tianjin University in 2017. She is now a Lecturer in the School of Artificial Intelligence, Hebei University of Technology. Her research interests include event triggered control, saturation nonlinearity, Markov jump system and switched system.
Yanli Geng received her B.S. degree in control technology and instruments from Agricultural University of Hebei, Hebei, China, in 2006, and her M.S. and Ph.D. degrees in control theory and control engineering from Hebei University of Technology, in 2009 and 2012, respectively. She is currently an Associate Professor at the School of Artificial Intelligence, Hebei University of Technology. She is also with the Engineering Research Center of Intelligent Rehabilitation, Ministry of Education of China. Her research interests include rehabilitation engineering, intelligent control and switched systems.
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Liu, J., Yang, Y., Li, H. et al. Event-triggered Output-feedback Control for Networked Switched Positive Systems with Asynchronous Switching. Int. J. Control Autom. Syst. 19, 3101–3110 (2021). https://doi.org/10.1007/s12555-020-0655-7
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DOI: https://doi.org/10.1007/s12555-020-0655-7