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一类非线性系统的模糊自适应控制

曲子芳   

  1. 山东工商学院 数学与信息科学学院，山东 烟台 264005
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-03-20 发布日期:2007-03-20

Fuzzy Adaptive Control for a Class of Nonlinear Systems

QU Zi fang   

  1. College of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-03-20 Published:2007-03-20

被引次数

9

摘要： 针对一类非线性系统，把模糊T S模型和自适应模糊逻辑系统这两种模糊逻辑方式结合起来，提出了一种自适应控制方案.首先，采用模糊T S模型来对非线性系统建模，由线性矩阵不等式得到模糊模型的控制律.其次，构建了自适应模糊逻辑系统，应用自适应模糊逻辑系统补偿器来消去建模误差.证明了闭环系统满足期望的H∞性能，仿真结果表明了该方案的可行性.

关键词: 模糊T S模型, 自适应模糊逻辑系统, 非线性系统

Abstract: Combining both kinds of fuzzy logic forms including fuzzy T S model and adaptive fuzzy logic systems, this paper presents an adaptive control scheme for a class of nonlinear systems. The fuzzy T S model is used to approximate the nonlinear systems, and the fuzzy control law of the fuzzy model is derived from the linear matrix inequality. The adaptive fuzzy logic systems are then constructed, and the modeling errors eliminated with a compensator based on the adaptive fuzzy logic systems. It is proved that the closed loop system satisfies the anticipated H∞ performance. Simulation results demonstrate that the control scheme is effective.

Key words: fuzzy T S model, adaptive fuzzy logic systems, nonlinear systems