Fuzzy adaptive output feedback control for a class of switched non-triangular structure nonlinear systems with time-varying delays

ABSTRACT

This paper investigates an adaptive fuzzy output feedback control design problem for switched nonlinear system in non-triangular structure form. The discussed system contains unknown nonlinear dynamics, unmeasured states and unknown time-varying delays under a batch of switching signals. Fuzzy logic systems are utilised to learn unknown nonlinear dynamics and construct a fuzzy switched nonlinear observer. By combining the property of fuzzy basis function with Lyapunov–Krasovskii functional and the command filter, a novel observer-based fuzzy adaptive backstepping schematic design algorithm is presented. Furthermore, the stability of the closed-loop control system is proved via Lyapunov stability theory and average dwell time method. The simulation results are presented to verify the validity of the proposed control scheme.

KEYWORDS:

• Backstepping control
• switching systems
• fuzzy adaptive control
• non-triangular structure
• output feedback control
• time-varying delays

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 61773188], [grant number 61573175].

Notes on contributors

Leitao Huang

Leitao Huang received the B.S. degree in Information and Computing Science from Liaoning University of Technology, Jinzhou, China, in 2015. He is working towards the M.E. degree in Applied Mathematics from Liaoning University of Technology, Jinzhou, China. His current research interests include switched systems, fuzzy control, and adaptive control.

Yongming Li

Yongming Li received the B.S. degree and the M.S. degree in Applied Mathematics from Liaoning University of Technology, Jinzhou, China, in 2004 and 2007, respectively. He received the Ph.D degree in Transportation Information Engineering & Control from Dalian Maritime University, Dalian, China in 2014. He is currently a Professor in the College of Science, Liaoning University of Technology. His current research interests include adaptive control, fuzzy control and neural networks control for nonlinear systems.

Shaocheng Tong

Shaocheng Tong received the B.S. degree in Mathematics from Jinzhou Normal College, Jinzhou, China, the M.S. degree in Fuzzy Mathematics from Dalian Marine University, Dalian, China, and the Ph.D. degree in Fuzzy Control from the Northeastern University, Shenyang, China, in 1982, 1988, and 1997, respectively. He is currently a Professor with the College of Science, Liaoning University of Technology, Jinzhou, China. His current research interests include fuzzy and neural networks control, and nonlinear adaptive control.