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一类不确定离散非线性系统的边界层自适应模糊滑模控制
引用本文:张晓宇,苏宏业.一类不确定离散非线性系统的边界层自适应模糊滑模控制[J].系统工程理论与实践,2004,24(6):72-77.
作者姓名:张晓宇  苏宏业
作者单位:工业控制技术国家重点实验室浙江大学先进控制技术研究所
基金项目:国家杰出青年科学基金(60025308),国家教育部优秀青年教学与科研奖励基金(TRAPOYT)
摘    要:研究了一类不确定离散非线性系统的模糊滑模控制问题,提出了一种基于边界层模糊自适应的模糊滑模控制方法.首先,在系统非线性动态函数上界已知的条件下,给出了系统的准滑模控制律设计,证明了系统的闭环稳定性.引入一个滑模边界层可调参数,在边界层外施加准滑模控制律;在边界层内,去掉准滑模控制律,施加模糊逻辑控制.边界层参数用模糊逻辑系统进行在线自调节,消除了系统处于准滑动模态时的高频抖振.数值仿真结果证明了所设计控制律的优点和有效性.

关 键 词:离散非线性系统  模糊控制  滑动模态  边界层    
文章编号:1000-6788(2004)06-0072-06
修稿时间:2003年4月11日

Fuzzy Quasi-Sliding Mode Control with Adaptive Boundary Layer for a Class of Discrete Nonlinear Systems
ZHANG Xiao-yu,SU Hong-ye.Fuzzy Quasi-Sliding Mode Control with Adaptive Boundary Layer for a Class of Discrete Nonlinear Systems[J].Systems Engineering —Theory & Practice,2004,24(6):72-77.
Authors:ZHANG Xiao-yu  SU Hong-ye
Institution:National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University
Abstract:A new fuzzy quasi-sliding mode control (FQSMC) with self-tuning boundary layer (BL) for a class of uncertain discrete nonlinear systems is proposed. Firstly, a quasi-sliding mode control (QSMC) design is presented under the condition that the upper bound of the nonlinear dynamic function is known. The Lyapunov stability of the closed-loop system is proved. Then the BL parameter is introduced for the sliding mode, which is self-tuning by the fuzzy logic system (FLS). The QSMC is used outside the BL and fuzzy logic control (FLC) is used inside the BL. The chattering phenomenon is eliminated. The performance of the closed-loop system is examined by numerical examples.
Keywords:discrete nonlinear system  fuzzy Logic control  sliding mode  boundary layer
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