Stability and L2-Gain of Linear Parameter-Varying Subsection System
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摘要: 为降低李雅普诺函数(Lyapunov function)分析参数时变系统引起的保守性,研究了系统稳定性、L2增益与参数分段和参数变化率的关系,提出了一种同时考虑参数分段和参数变化率的线性时变参数系统的线性矩阵不等式(LMI)设计方法.仿真结果表明,系统具有鲁棒稳定性和对干扰的抑制作用,该方法适用于各种线性时变参数系统.Abstract: In order to reduce conservative performances resulted in by the application of the Lyapunov function to the analysis of a linear parameter-varying system,the relationships of the stability and L2-gain of the system with the subsection and changing rate of parameters were investigated.By considering the subsection and changing rate of parameters together,a design method for linear parameter-varying systems was put forward based on LMI (linear matrix inequality).Simulation results show that the system is robust and external disturbance is outstandingly restrained to prove this method applicable to all kinds of linear parameter-varying systems.
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梅生伟,申铁龙,刘康志.现代鲁棒控制理论与应用[M].北京:清华大学出版社,2003:72-78.[2] APKARIAN P.Gain scheduling via linear fractional transformations[J].Systems Control Letters,1994,22(2):79-92.[3] APKARIAN P,ADAMS R J.Advanced gain scheduling techniques for uncertain systems[J].IEEE Transactions on Control SystemTechnology,1997,6(1):21-32.[4] SHAKED U.Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainity[J].IEEE Transactions on Automatic Control,2001,46(4):652-656.[5] WANG F,BALAKRISHNAN V.Improved stability analysis and gain scheduled controller synthesis for parameter-dependent systems[J].IEEE Transactions Automatic Control,2002,47(5):720-734.[6] de SOUZA C E,TROFINO A,de OLIVEIRA J.Parametric lyapunov function approach to H2 anal-ysis and control of linear parameter-dependent systems[J].IEE Proceedings of Control Theory Application,2003,150(5):501-508.[7] XIE W.H2 gain scheduled state feedback for LPV system with new LMI formulation[J].IEE Proceedings of Control Theory Application,2005,152(6):693-697.[8] 黄琳.稳定性与鲁棒性的理论基础[M].北京:科学出版社,2003:281-213.[9] 俞立.鲁棒控制线性矩阵不等式处理方法[M].北京:清华大学出版社,2002:68-83. -
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