摘要
研究了广义时变脉冲系统的输入输出时域稳定问题.基于矩阵微分不等式(Differential matrix inequalities,DMI),给出了两个上述系统输入输出时域稳定的充分条件分别对应L2干扰输入和L∞干扰输入.这样的条件要求矩阵微分不等式解的存在性.接下来根据给出的充分条件设计了控制器,使得闭环系统输入输出时域稳定.本文的结果对于一般情况下的广义时变系统同样适用.最后,给出了两个算例来验证结果的有效性.
This paper deals with the input-output finite-time stability problem for continuous-time linear time-varying descriptor impulse systems. The output and input refer to the controlled output and the disturbance input, respectively. Two classes of disturbance inputs are considered, which belong to L2 and L∞. New results for the above-mentioned class of systems are presented in the form of su？cient conditions given in terms of differential matrix inequalities. Based on the two conditions, state feedback controllers are designed such that the resultant closed-loop systems are input-output finite-time stable. The result also apply to time-varying descriptor systems. Finally, two examples are presented to show the validity of the new results.
出处
《自动化学报》
EI
CSCD
北大核心
2014年第11期2512-2520,共9页
Acta Automatica Sinica
基金
国家自然科学基金(61074005)
辽宁省优秀人才基金(LR2012005)~~
关键词
广义时变系统
矩阵微分不等式
输入输出时域稳定
状态反馈
Time-varying descriptor systems
differential matrix inequalities （DMI）
input-output finite-time stable
state feedback
