Adaptive fuzzy output-feedback control for a class of nonlinear pure-feedback systems with time delays

ABSTRACT

This paper investigates observer-based adaptive fuzzy control for a class of delayed nonlinear systems in pure-feedback form. We first proposed a linear observer to get the estimation of the system's state. And then utilise fuzzy logic systems to model those nonlinearities. Further, adaptive fuzzy approach and backstepping technique are combined to develop the desired controller via Lyapunov analysis. The suggested adaptive fuzzy control scheme ensures that all the signals of the resulting nonlinear system converge to a small neighbourhood of the origin. Then a real simulation is used to illustrated the effectiveness of our results.

KEYWORDS:

• Backstepping technique
• fuzzy logic systems
• observer
• time delays
• nonlinear systems

Acknowledgments

And the authrs also gratefully acknowledge the helpful comments and suggestions of the editors and the anonymous reviewers, which have improve the quality of the note.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Our note was funded by the National Natural Science Foundation of China [grant numbers 61473160 and 61174033].

Notes on contributors

Honghong Wang

Honghong Wang received her B.S. degree and M.S. degree at Shandong University in 2001 and 2004, respectively. Currently she is a teacher at the School of Automatic and Electrical Engineering, Qingdao University, Qindao, P.R. China. Now she is pursuing her Ph.D. degree in system theory from the Institute of Complexity Science, Qingdao University. Her current research interests are mainly in systems nonlinear control systems control and fuzzy control theory.

Bing Chen

Bing Chen received his B.A. degree in mathematics from Liaoning University, P.R. China, M.A. degree in mathematics from Harbin Institute of Technology, P.R. China and Ph.D. degree in electrical engineering from Northeastern University, P.R. China, in 1982, 1991 and 1998, respectively. Currently, he is a professor at the Institute of Complexity Science, Qingdao University, Qingdao, P.R. China. His research interest includes non-linear control systems, robust control and fuzzy control theory.

Chong Lin

Chong Lin received his B.S. and M.S. degrees in applied mathematics from the Northeastern University, P.R. China, in 1989 and 1992, respectively, and Ph.D. in electrical and electronic engineering from the Nanyang Technological University, Singapore, in 1999. He was a research associate at the Department of Mechanical Engineering, University of Hong Kong, in 1999. From 2000 to 2006, he was a research fellow at the Department of Electrical and Computer Engineering, National University of Singapore. Since 2006, he has been a professor with the Institute of Complexity Science, Qingdao University, China. He has published more than 60 research papers and co-authored two monographs. His current research interests are mainly in systems analysis and control, robust control and fuzzy control.

Yumei Sun

Yumei Sun received his B.Sc. degree in mathematics from Shangdong University, Jinan, China, in 2002, and M.Sc. degree in mathematics from Sun Yat-sen University, Guangzhou, China, in 2005. She is currently a Ph.D. candidate of Qingdao University, Qingdao, China. Her current research interests include control, adaptive fuzzy control and stochastic nonlinear systems.