Adaptive Backstepping Fuzzy Control for Nonlinearly Parameterized Systems With Periodic Disturbances

作者：Chen, Weisheng^*; Jiao, Licheng; Li, Ruihong; Li, Jing

来源：IEEE Transactions on Fuzzy Systems, 2010, 18(4): 674-685.

DOI：10.1109/TFUZZ.2010.2046329

• Dynamic surface control
• Fourier series expansion (FSE)
• fuzzy-logic system (FLS)
• integral Lyapunov ILF)
• nonlinearly parameterized system
• periodic disturbance

A novel-function approximator is constructed by combining a fuzzy-logic system with a Fourier series expansion in order to model unknown periodically disturbed system functions. Then, an adaptive backstepping tracking-control scheme is developed, where the dynamic-surface-control approach is used to solve the problem of "explosion of complexity" in the backstepping design procedure, and the time-varying parameter-dependent integral Lyapunov function is used to analyze the stability of the closed-loop system. The semiglobal uniform ultimate boundedness of all closed-loop signals is guaranteed, and the tracking error is proved to converge to a small residual set around the origin. Two simulation examples are provided to illustrate the effectiveness of the control scheme designed in this paper.

• 出版日期2010-8
• 单位西安电子科技大学