摘要
研究了一类不确定线性时滞切换系统的鲁棒镇定问题.该系统在结构、输入通道都存在不确定性,而且还受到不满足匹配条件的外部扰动.首先利用完备性条件与李亚普诺夫函数方法,设计了线性无记忆状态反馈控制器,使该不确定线性时滞切换系统的状态在给定的切换策略下渐近稳定,并且所得结果均用易于求解的线性矩阵不等式的形式表出.然后,利用线性组合方法,给出求解完备性的一种方法.最后通过仿真验证了此方法的有效性.
The robust stabilization for a class of switched linear systems with time-delay is studied. The switched systems exist uncertainties in the structure and the input channel. Furthermore, the systems are interfered by the outer perturbations, which do not satisfy the so-called matching condition. Firstly by using completeness condition and Lyapunov function methods, the linear state feedback controller without memory,is designed to guarantee the states of the systems asymptotically stable under the given switching signals. And all of the results are expressed in the form of linear matrix inequalities ,which can be solved easily. Then based on the linear combinations method, the sufficient condition of completeness is attained. The simulation shows the validity of the results at last.
出处
《厦门大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第5期626-629,共4页
Journal of Xiamen University：Natural Science
基金
福建省青年科技人才创新项目资金(2005J006)
厦门大学985二期信息创新平台资助
关键词
切换系统
时滞
鲁棒镇定
完备性
线性矩阵不等式
状态反馈
switched systems
time-delay
robust stabilization
completeness
linear matrix inequalities
state feedback
