Adaptive Backstepping Fuzzy Control for Nonlinearly Parameterized Systems With Periodic Disturbances
Adaptive Backstepping Fuzzy Control for Nonlinearly Parameterized Systems With Periodic Disturbances
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DOI：
10.1109/tfuzz.2010.2046329
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发表时间：
2010-08
影响因子：
11.9
通讯作者：
Weisheng Chen;L. Jiao;Rui-hong Li;Jing Li
中科院分区：
文献类型：
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作者：
Weisheng Chen;L. Jiao;Rui-hong Li;Jing Li
通过将模糊逻辑系统与傅立叶系列扩展相结合，以建模未知的周期性影响系统功能，从而构建了新型功能近似器。用于解决后台设计过程中“复杂性爆炸”的问题，并使用时间变化参数依赖的积分lyapunov函数来分析保证所有闭环信号的闭环系统的稳定性。本文设计的控制方案。
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.