Fuzzy-Approximation-Based Adaptive Control of Strict-Feedback Nonlinear Systems With Time Delays
Fuzzy-Approximation-Based Adaptive Control of Strict-Feedback Nonlinear Systems With Time Delays
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DOI：
10.1109/tfuzz.2010.2050892
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发表时间：
2010-10
影响因子：
11.9
通讯作者：
Bing Chen;Xiaoping Liu;Kefu Liu;Chong Lin
中科院分区：
文献类型：
--
作者：
Bing Chen;Xiaoping Liu;Kefu Liu;Chong Lin
本文重点介绍了一类具有未知非线性和严格反馈结构的非线性时间延迟系统的自适应控制问题。基于Lyapunov-Krasovskii功能方法，通过后退构建了状态反馈自适应控制器。所提出的自适应控制器保证系统输出会收敛到参考信号的一小邻域，并且闭环系统的所有信号都保持界限。与存在的结果相比，提出的方法的主要优点是控制器设计与模糊成员函数的选择无关。因此，对于控制设计，对模糊近似器的先验知识不需要，并且所提出的方法仅需要一个适应性定律。两个数值示例用于说明所提出的方法的有效性。
This paper focuses on the problem of adaptive control for a class of nonlinear time-delay systems with unknown nonlinearities and strict-feedback structure. Based on the Lyapunov-Krasovskii functional approach, a state-feedback adaptive controller is constructed by backstepping. The proposed adaptive controller guarantees that the system output converges into a small neighborhood of the reference signal, and all the signals of the closed-loop system remain bounded. Compared with the results that exist, the main advantage of the proposed method is that the controller design is independent of the choice of the fuzzy-membership functions; therefore, a priori knowledge of fuzzy approximators is not necessary for control design, and the proposed approach requires only one adaptive law for an nth-order system. Two numerical examples are used to illustrate the effectiveness of the proposed approach.