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输出饱和线性系统的稳定性及L2增益性能
引用本文:熊学泉,薛安克,孙优贤.输出饱和线性系统的稳定性及L2增益性能[J].控制理论与应用,2001,18(1):83-86,90.
作者姓名:熊学泉  薛安克  孙优贤
作者单位:浙江大学工业控制技术研究所
基金项目:国家自然科学重点基金! (6 96 35 0 10 ),国家自然科学基金! (6 98740 36 )资助项目
摘    要:考虑输出饱和线性系统的稳定性以及L2增益性能,在输出为状态量的饱和函数量有界的形式下,得出了可稳线性系统为可静态反馈半全局镇定的结论,并且对两类性能函数分别得出静态下系统满足某L2增益性能指标的充分条件。

关 键 词:线性系统  静态反馈  半全局镇定  L2增益  稳定性

Stability and L_2 Gain Performance of Linear Systems Subject to Output Saturation
XIONG Xuequan,XUE Anke and SUN Youxian.Stability and L_2 Gain Performance of Linear Systems Subject to Output Saturation[J].Control Theory & Applications,2001,18(1):83-86,90.
Authors:XIONG Xuequan  XUE Anke and SUN Youxian
Abstract:The stability and \$L 2\$ gain performance of linear systems subject to output saturation are considered.The situation studied is that the output value is the saturation output of the state and the saturation function is the type of energy bounded.The result is represent that the stabilizable linear systems are semi globally stabilizable via static feedback.In the present of static feedback,sufficient conditions which make close loop systems satisfy the \$L 2\$ gain performance prior given for two types of performance function respectively are derived.
Keywords:output saturation  linear systems  static feedback  semi  globally stabilize  \$L  2\$ gain
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