一类非线性离散系统的直接自适应模糊控制

姜海波; 张天平

引用本文:	姜海波, 张天平.一类非线性离散系统的直接自适应模糊控制[J].控制理论与应用,2006,23(6):949~952.[点击复制]
	JIANG Hai-bo, ZHANG Tian-ping.Direct adaptive fuzzy control for a class of nonlinear discrete-time systems[J].Control Theory and Technology,2006,23(6):949~952.[点击复制]

一类非线性离散系统的直接自适应模糊控制

Direct adaptive fuzzy control for a class of nonlinear discrete-time systems

摘要点击 1531 全文点击 1245 投稿时间：2005-04-19 修订日期：2005-12-05

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DOI编号 10.7641/j.issn.1000-8152.2006.6.019

2006,23(6):949-952

中文关键词非线性离散系统模糊控制自适应控制梯度下降算法输入状态稳定

英文关键词 nonlinear discrete-time systems fuzzy control adaptive control gradient descent algorithm input-to-state stability

基金项目国家自然科学基金资助项目(60074013, 10371106); 江苏省教育厅指导性计划资助项目(KK0310067); 扬州大学信息科学学科群资助项目(ISG030606).

作者	单位
姜海波, 张天平	扬州大学信息工程学院, 江苏扬州225009 盐城师范学院数学科学学院, 江苏盐城224002

中文摘要

针对一类含延迟非线性离散系统, 提出了一种直接自适应模糊控制器设计的新方案. 将系统用T-S模糊模型来表示, 并基于并行分布补偿(PDC)基本思想设计了一种具有未知参数的模糊控制器, 同时采用梯度下降算法对该控制器的参数进行在线辨识. 通过输入到状态稳定(ISS)方法, 证明了系统输出和参考输出的误差有界且满足一定的平均性能. 仿真表明本方法的有效性.

英文摘要

A new design scheme of direct adaptive fuzzy control for a class of nonlinear discrete-time systems with delay is proposed in this paper. Firstly, the Takagi-Sugeno (T-S) fuzzy model is used to represent the systems. Secondly, the basic idea of the so-called Parallel Distributed Compensation (PDC) is employed to design the fuzzy controller with unknown parameters. Thirdly, the parameters of the controller are identified by gradient descent algorithm on-line. Furthermore, by Input-to-State Stability (ISS) approach, the error between the system output and the reference output is proved to be bounded and to satisfy some average performance. Finally, simulation results show the effectiveness of the proposed scheme.