Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 18, Issue 4, Pages 674-685Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2010.2046329
Keywords
Dynamic surface control; Fourier series expansion (FSE); fuzzy-logic system (FLS); integral Lyapunov function (ILF); nonlinearly parameterized system; periodic disturbance
Funding
- National Natural Science Foundation of China [60804021, 60703107, 60703108, 60803098]
- China Postdoctoral Science Foundation [20090461282]
- Fundamental Research Funds for the Central Universities [JY10000970001]
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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.
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