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采用多Lyapunov函数的混杂系统稳定性研究(英文) 被引量：3

Study on Stability of Hybrid Systems via Multiple Lyapunov Functions
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摘要 针对一类由离散事件监控的连续动态子系统组成的混杂动态系统 ,首先分析利用多Lyapunov函数方法已有成果 ,指出切换超平面为滑动模时 ,利用这种方法不能确保混杂系统的稳定 .基于Filipov理论给出了能活稳定性结果 .对于混杂系统的连续动态子系统为线性时不变情况下 ,研究了混杂系统二次镇定条件 .最后给出一个例子来说明本文方法 . The hybrid systems considered here consist of the continuous_valued systems under the supervision of discrete event. We first analyze the prior results of stability using multiple Lyapunov approach and present that the stability can not be guaranteed if only the method of multiple Lyapunov functions is used when the switching hypersurface becomes sliding mode. Based on Filipov theory, the result of viable Lyapunov stability is obtained. When the subsystems of hybrid systems are linear time_invariant, quadratic stabilization condition of LTI hybrid systems is studied. Finally an example is given to illustrate the proposed method.
作者 翟海峰 胡协和 苏宏业 褚健 吴维敏 吴海虹
机构地区 工业控制技术国家重点实验室浙江大学先进控制研究所
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2002年第3期457-461,共5页 Control Theory & Applications
基金 supportedbyNationalOutstandingYouthScienceFoundationofChina (6972 5 0 0 5) NationalNaturalScienceFoundationofChina(699740 3 5 ) .
关键词 混杂系统 多LYAPUNOV函数 能活稳定性 离散系统 hybrid systems multiple Lyapunov functions viable stability
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献11

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同被引文献18

  • 1张潜,梅灿华,费树岷.一类线性切换系统基于观测器的输出反馈镇定[J].东南大学学报（自然科学版）,2004,34(B11):80-83. 被引量：3
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  • 10JI Zhijian,WANG Long,XIE Guangming.Stabilizing discrete-time switched systems via observer-based static output feedback[J].IEEE Int Conf on Systems,Man and Cybernetic,2003,3(10):2545-2550.

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控制理论与应用
2002年 第3期

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