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一类开关混杂系统的优化控制设计
引用本文:王泽宁,费树岷,冯纯伯.一类开关混杂系统的优化控制设计[J].东南大学学报(自然科学版),2002,32(3):495-499.
作者姓名:王泽宁  费树岷  冯纯伯
作者单位:东南大学自动化研究所,南京,210096
基金项目:国家攀登计划资助项目 ( 970 2 110 17),自然科学基金资助项目 ( 6 96 0 40 0 3,6 99340 10 )
摘    要:将混杂系统的逻辑部分表述为一类{0,1}系数的形式,并给出了类能量函数的概念,使用类能量函数的方法给出了一个混杂系统稳定的充要条件,在此基础上将子系统的连续控制和逻辑部分结合起来对系统进行性能优化设计,并保证设计结果的稳定性,仿真结果表明由于本文给出的方法可以在有限的时间段上利用不可镇定的子系统来改善系统的性能,从而取得了更好的控制效果。

关 键 词:混杂系统  稳定性  优化控制  优化设计  非线性系统  连续动态  离散变量
文章编号:1001-0505(2002)03-0495-05

Optimal control design for a class of switching hybrid systems
Wang Zening,Fei Shumin,Feng Chunbo.Optimal control design for a class of switching hybrid systems[J].Journal of Southeast University(Natural Science Edition),2002,32(3):495-499.
Authors:Wang Zening  Fei Shumin  Feng Chunbo
Abstract:The logical part of hybrid systems is described as the format of {0,1} coefficient and the concept of energy-like function is presented. Using the energy-like function a stability criterion of whole systems is given, which are both sufficient and necessary. Based on these, continuous control of subsystems and logical part are combined to conduct an optimal design of system performance and system stability. The illustration shows that, since the method introduced by this paper can utilize the unstable subsystems in some time intervals to improve the performance of the whole system, the control effects are better than the previously known results.
Keywords:hybrid system  stability  optimal control
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