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基于观测器的参数不确定非线性系统的模糊鲁棒控制(英文) 被引量:3

Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties
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摘要 对一类非线性系统进行模糊建模及其模糊观测器设计 ,研究了在系统的状态不可测且存在参数不确定的模糊鲁棒控制问题 ,以线性矩阵不等式的形式给出了模糊控制系统具有李雅普诺夫意义下稳定的充分条件 ,最后把所提出的方法应用到倒立摆系统进行仿真 ,仿真结果验证了该控制方法的有效性 . This paper addresses the robust fuzzy control problem for nonlinear systems in the presence of parametric uncertainties and the state variables unavailable for measurement. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability and are formulated in the format of linear matrix inequalities (LMIs). The effectiveness of the proposed fuzzy controller and fuzzy observer design methodology is finally demonstrated through numerical simulations on an inverted pendulum system.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2003年第2期269-272,276,共5页 Control Theory & Applications
基金 supportedbytheNationalNaturalScienceFoundationofChina( 60 2 14 0 19) theLiaoningProvinceFoundation ( 2 0 0 110 10 61)
关键词 模糊鲁棒控制 参数不确定非线性系统 观测器 模糊建模 模糊控制系统 线性矩阵不等式 fuzzy control robust control fuzzy observer parametric uncertainty robust stability linear matrix inequality
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参考文献5

  • 1[1]TANAKA K, IKEDA T, WANG H O. Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H∞ control theory and linear matrix inequalities [J]. IEEE Trans on Fuzzy Systems,1996,4(1):1-13.
  • 2[2]LEE H J, PARK J B, CHEN G. Robust fuzzy control of nonlinear systems with parametric uncertainties [J]. IEEE Trans on Fuzzy Systems, 2001,9(2):369-379.
  • 3[3]TANAKA K, IKEDA T, WANG H O. Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs [J]. IEEE Trans on Fuzzy Systems,1998,4(2):250-265.
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