Journal of Systems Engineering and Electronics ›› 2019, Vol. 30 ›› Issue (6): 1243-1251.doi: 10.21629/JSEE.2019.06.18

• Control Theory and Application • Previous Articles     Next Articles

Event-triggered robust guaranteed cost control for two-dimensional nonlinear discrete-time systems

Sen WANG(), Xuhui BU*(), Jiaqi LIANG()   

  • Received:2018-11-12 Online:2019-12-20 Published:2019-12-25
  • Contact: Xuhui BU E-mail:wangsmmm@126.com;buxuhui@gmail.com;1459485470@qq.com
  • About author:WANG Sen was born in 1994. He received his bachelor's degree in automation control from the School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, China, in 2016. He is currently pursuing his master's degree in control science and engineering with the School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, China. His current research interests include two-dimensional system theory, network control systems. E-mail: wangsmmm@126.com|BU Xuhui was born in 1981. received his bachelor's and master's degree in automation control from Henan Polytechnic University, Jiaozuo, China, in 2004 and 2007, respectively, and Ph.D. degree in control thoery and application from Beijing Jiaotong University, Beijing, China, in 2011. He is currently an associate professor in Henan Polytechnic University, Jiaozuo, China. He has authored over 50 peerreviewed journal papers and over 20 papers in prestigious conference proceedings. His research interests include data-driven control, iterative learning control, traffic control and networked system control. E-mail: buxuhui@gmail.com|LIANG Jiaqi was born in 1992. She is currently a doctor graduate student in mining control engineering, with Henan Polytechnic University, Jiaozuo, China. She received her bachelor's degree in computer science and technology from Henan University of Science and Technology and master's degree in control science and engineering from Henan Polytechnic University, in 2014 and 2018, respectively. Her research interests include iterative learning control, mulit-agent systems control. E-mail: 1459485470@qq.com
  • Supported by:
    the National Natural Science Foundation of China(61573129);the National Natural Science Foundation of China(U1804147);the Innovative Scientists and Technicians Team of Henan Provincial High Education(20IRTSTHN019);the Innovative Scientists and Technicians Team of Henan Polytechnic University(T2019-2);the Innovative Scientists and Technicians Team of Henan Polytechnic University(T2017-1);This work was supported by the National Natural Science Foundation of China (61573129; U1804147), the Innovative Scientists and Technicians Team of Henan Provincial High Education (20IRTSTHN019), and the Innovative Scientists and Technicians Team of Henan Polytechnic University (T2019-2; T2017-1)

Abstract:

An event-triggered scheme is proposed to solve the problems of robust guaranteed cost control for a class of two-dimensional (2-D) discrete-time systems. Firstly, an eventtriggered scheme is proposed for 2-D discrete-time systems with parameter uncertainties and sector nonlinearities. Then, according to the Lyapunov functional method, the sufficient conditions for the existence of event-triggered robust guaranteed cost controller for 2-D discrete-time systems with parameter uncertainties and sector nonlinearities are given. Furthermore, based on the sufficient conditions and the linear matrix inequality (LMI) technique, the problem of designing event-triggered robust guaranteed cost controller is transformed into a feasible solution problem of LMI. Finally, a numerical example is given to demonstrate that, under the proposed event-triggered robust guaranteed cost control, the closed-loop system is asymptotically stable and fewer communication resources are occupied.

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