Robust L₁ output tracking control for uncertain networked control systems described by T-S fuzzy model with distributed delays

ABSTRACT

This paper concentrates on investigating the robust L₁ output tracking control problem for the networked control systems described by Takagi–Sugeno fuzzy model with distributed delays and uncertainties. First, according to the parallel distributed compensation and Lyapunov theory, a fuzzy delay-dependent and basis-dependent Lyapunov–Krasovskii function that contributes to reducing the conservatism is constructed. Second, the L₁ performance criterion guaranteeing the asymptotic stability of the corresponding tracking control system and satisfying the prescribed tracking performance is derived. Furthermore, the output tracking control problem is converted into a convex optimisation problem. Finally, the results from simulation certify the effectiveness of the designed controller.

KEYWORDS:

• Networked control systems
• T-S fuzzy model
• robust L₁ output tracking control
• distributed delays

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work is supported by the National Natural Science Foundation of China [grant number 61673102].

Notes on contributors

Yanhui Li

Yanhui Li received her Ph.D. degree in control theory and control engineering from Harbin Institute of Technology, China. She is curently a professor in Electrical and Information Engineering College from Northeast Petroleum University, China. Her research interests include networked control systems, robust control and filtering, fuzzy control and model reduction.

Yulong Li

Yulong Liis currently working towards the M.S. degree in Electrical and Information Engineering College from Northeast Petroleum University, China. His research interests include robust control and filtering, T-S fuzzy systems and networked control systems.