| 一类非线性离散系统的直接自适应模糊控制 |
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| 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. |
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| 作者姓名： | 姜海波 张天平 |
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| 作者单位： | 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;扬州大学,信息工程学院,江苏,扬州,225009 |
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| 基金项目： | 国家自然科学基金(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)． |
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| 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．
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| 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 |
| 文章编号： | 1000-8152（2006）06-0949-04 |
| 收稿时间： | 2005-04-19 |
| 修稿时间： | 2005-04-192005-12-05 |
Direct adaptive fuzzy control for a class of nonlinear discrete-time systems |
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| JIANG Hai-bo,ZHANG Tian-ping.Direct adaptive fuzzy control for a class of nonlinear discrete-time systems[J].Control Theory & Applications,2006,23(6):949-952. |
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| Authors: | JIANG Hai-bo ZHANG Tian-ping |
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| Affiliation: | College of Information Engineering, Yangzhou University, Yangzhou Jiangsu 225009, China; School of Mathematical Sciences, Yancheng Teachers College, Yancheng Jiangsu 224002, China |
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| Abstract: | 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. |
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| Keywords: | nonlinear discrete-time systems fuzzy control adaptive control gradient descent algorithm input-to-state stability |
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