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基于逼近误差的非线性自适应模糊控制 被引量:3

Adaptive Fuzzy Control Based on Approximation Errors for Nonlinear Systems
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摘要 针对一类单输入单输出不确定非线性系统,提出了一种稳定的自适应模糊控制方法·该方法不需要系统状态可测的条件,而是通过设计模糊状态观测器来估计系统的状态·系统的未知非线性项通过模糊逻辑系统进行逼近,且逼近误差满足一定的有界条件,根据李雅普诺夫方法对系统进行分析,得出相应的参数自适应律·该方法不但能保证跟踪误差收敛于原点的一个小的邻域内,而且所涉及到的变量一致有界·仿真结果验证了此方法的有效性与正确性· A stable adaptive fuzzy control method is proposed for a class of uncertain single input/output nonlinear systems, of which the state variables are estimated by designing a fuzzy state observer instead of the assumption that these variables need a full observability. Such unknown nonlinearities are approximated by the fuzzy logic systems on the key assumption that the approximation errors satisfy certain bounding conditions. Then, Lyapunov synthesis is used to analyse the fuzzy system to obtain the adaptive laws of corresponding parameters. Such an overall control systems can guarantee not only that the tracking error converges in a small neighborhood of zero but that all signals involved are uniformly bounded. Finally, a simulation example is given to testify the validity and efficiency of the proposed method.
出处 《东北大学学报(自然科学版)》 EI CAS CSCD 北大核心 2004年第5期449-452,共4页 Journal of Northeastern University(Natural Science)
基金 国家自然科学基金资助项目(60274009) 高等学校博士学科点专项科研基金资助项目(20020145007)
关键词 模糊自适应控制 模糊逼近 模糊观测器 线性矩阵不等式 稳定性分析 adaptive fuzzy control fuzzy approximation fuzzy observer LMI stability
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