摘要
研究了具有外在扰动的脉冲Markov切换线性随机系统的鲁棒H∞控制问题,分别从系统的鲁棒稳定性及鲁棒性能两方面进行分析:首先,利用多Lyapunov函数法对系统的稳定性进行分析,给出了系统鲁棒依概率稳定的充分条件;进一步地,运用线性矩阵不等式(LMI)法对系统的鲁棒性能进行分析,给出相应的状态反馈增益矩阵和脉冲控制增益矩阵的求解方法.在此基础上得出了一个鲁棒H∞控制律,并提出了一套基于MATLAB软件的鲁棒控制器的设计方法.最后,利用数值算例说明所设计方法的有效性.
The robust H∞ control problem for impulsive Markov switching linear stochastic systems with external distur-bance is considered.The systems’ robust stability and robust capability are analyzed respectively.Firstly,multiple Lyapunov method is used to analyze the stability of the systems,and the sufficient conditions are derived for the robust stability in probability of the system.Furthermore,by analyzing the robust capability of the system using the linear matrix inequality（LMI） method,the state feedback gain matrix and the impulsive control gain matrix of the system are obtained,and then a robust H∞ control rule is derived.Finally,a robust H∞ control design based on MATLAB is presented,and a numerical example shows the effectiveness of the proposed approach.
出处
《信息与控制》
CSCD
北大核心
2010年第4期430-434,440,共6页
Information and Control
关键词
脉冲系统
随机混杂系统
H∞控制
鲁棒控制
LMI
impulsive system
stochastic hybrid system
H∞ control
robust control
LMI（linear matrix inequality）
