Abstract
This paper proposes a novel adaptive fuzzy control design for a class of nonlinear uncertain systems. The definition of compressor and limiter with adjustable parameters is introduced at beginning, and then updated laws of parameters of the compressor and estimate values of fuzzy approximation accuracies are utilized to synthesize stable adaptive controllers. The most advantage of designing adaptive fuzzy controller is neglectful of the logic structure of fuzzy logic systems, which make designer focus on parameters of the compressor, limiter and fuzzy approximation accuracies. This adaptive fuzzy control method can not only reduce the number of on-line updated parameters but also guarantee states of the closed-loop system to be uniformly ultimately bounded (UUB). Simulation results demonstrate the effectiveness of the control scheme in this paper.
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Recommended by Editorial Board member Seul Jung under the direction of Editor Young-Hoon Joo.
This research was supported by Natural Science Joint Research Program Foundation of Guangdong Province (8351009001000002) and by Natural Science Foundation of China (61273219).
Yong-Qing Fan received her M.S. degree from the School of Applied Mathematics at Guangdong University of Technology, Guangzhou, China, in 2009. She is currently working toward a Ph.D. degree at the School of Automation, Guangdong University of Technology, Guangzhou, China. Her research interests include nonlinear systems and dynamical networks control.
Yin-He Wang received his M.S. degree in Mathematics from Sichuan Normal University, Chengdu, P. R. China, in 1990, and his Ph.D. degree in Control Theory and Engineering from Northeastern University, Shenyang, P. R. China, in 1999. From 2000 to 2002, he was a Post-doctor in Department of Automatic Control, Northwestern Polytechnic University, Xi’an, P. R. China. From 2005 to 2006, he was a visiting scholar at the Department of Electrical Engineering, Lakehead University, Canada. He is currently a Professor with the School of Automation, Guangdong University of Technology, Guangzhou, China. His research interests include fuzzy adaptive robust control, analysis for nonlinear systems and complex dynamical networks.
Yun Zhang received his B.S. and M.S. degrees in Electrical Engineering from Hunan University, Changsha, P. R. China, in 1982 and 1986, respectively, and his Ph.D. degree in Control Theory and Engineering from South China University of Technology, Guangzhou, P. R. China, in 1997. He is currently a Professor with the School of Automation, Guangdong University of Technology, Guangzhou, China. His research interests include robot control, analysis and design for complex network, and intelligent control.
Qin-Ruo Wang received his B.E. degree from Guangdong University of Technology, China, and an M.A. degree from Zhejiang University, China. He is now with the School of Automation, Guangdong University of Technology, China as a Professor and an instructor of Ph.D. students. His current research interests include automatic equipment and techniques, mechatronics, automatic network control, and ship motion control.
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Fan, YQ., Wang, YH., Zhang, Y. et al. Adaptive fuzzy control with compressors and limiters for a class of uncertain nonlinear systems. Int. J. Control Autom. Syst. 11, 624–629 (2013). https://doi.org/10.1007/s12555-010-0400-8
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DOI: https://doi.org/10.1007/s12555-010-0400-8