Finite-time non-fragile filtering for nonlinear networked control systems via a mixed time/event-triggered transmission mechanism

Abstract

This paper is aimed at investigating the problem of mixed time/event-triggered finite-time non-fragile filtering for nonlinear networked control systems with delay. First, a fuzzy nonlinear networked control system model is established by interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model, the designed non-fragile filter resolves the filter parameter uncertainties and uses different membership functions from the IT2 T-S fuzzy model. Second, a novel mixed time/event-triggered transmission mechanism is proposed, which decreases the waste of network resources. Next, Bernoulli random variables are used to describe the cases of random switching mixed time/event-triggered transmission mechanism. Then, the error filtering system is designed by considering a Lyapunov function and a sufficient condition of finite-time boundedness. In addition, the existence conditions for the finite-time non-fragile filter are given by the linear matrix inequalities (LMIs). Finally, two simulation results are presented to prove the effectiveness of the obtained method.

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Affiliations

Authors

Corresponding author

Correspondence to Zhongda Lu.

Additional information

This work was supported by in part by the Science and Technology projects of the State Grid Heilongjiang Electric Power Co., Ltd. (No. 52243718001b) and the Fundamental Research Funds in Heilongjiang Provincial Universities (No. 135309372).

Zhongda LU received his B.E. degree in Automation from the Qiqihar University, Qiqihar, China in 1993, and M.Sc. degree in Communication and Information System from the Harbin Engineering University, Harbin, China in 2007, and Ph.D. in Computer Application Technology from the Harbin University of Science and Technology, Harbin, China in 2019. He is working as a Professor in the Qiqihar University. His research interests include nonlinear system, robot control, pattern recognition and mechatronics.

Junxiao LU received the B.E. degree in Automation from Qiqihar University, Qiqihar, China, in 2017, where he is currently pursuing the M.Sc. degree. His research interests include Internet of things application, nonlinear networked control systems, and fuzzy control.

Jiaqi ZHANG received the B.E. degree in Automation from Qiqihar University, Qiqihar, China, in 2018, where he is currently pursuing the M.Sc. degree. His research interests include Internet of things application, intelligent electric meters, nonlinear networked control systems, and neural network algorithm.

Fengxia XU received the B.E. degree in Automation from Qiqihar University, Qiqihar, China, in 1993, and the M.Sc. and Ph.D. degrees in Control Science and Control Engineering from the Harbin Institute of Technology, Harbin, China, in 2002 and 2006, respectively. She is currently a Professor and the Dean with the College of Mechanical and Electrical Engineering, Qiqihar University. Her research interests include networked control systems, descriptor systems, and nonlinear control.

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Lu, Z., Lu, J., Zhang, J. et al. Finite-time non-fragile filtering for nonlinear networked control systems via a mixed time/event-triggered transmission mechanism. Control Theory Technol. 18, 168–181 (2020). https://doi.org/10.1007/s11768-020-0011-8

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Keywords

  • Interval type-2 Takagi-Sugeno fuzzy model
  • networked control systems
  • mixed time/event-triggered transmission mechanism
  • finite-time non-fragile filter