一类连续广义Markov跳变系统的镇定性研究  

Stabilization of a class of continuous-time singular Markov jump systems

作　　者：常华[1] 方洋旺[2] 楼顺天[1] 陈佳[1] 

机构地区：[1]西安电子科技大学电子工程学院,西安710071 [2]空军工程大学工程学院,西安710038

出　　处：《控制与决策》2012年第5期641-645,651,共6页Control and Decision

基　　金：国家自然科学基金项目(60674040)

摘　　要：研究转移概率部分未知情况下的连续时间广义Markov跳变系统的稳定性和镇定性.所研究的系统涵盖了转移概率完全已知和完全未知两种特殊情况,具有更广泛的意义.首先,基于线性矩阵不等式方法,获得了使系统正则、无脉冲、随机稳定的充分条件;然后,设计了基于线性矩阵不等式条件的状态反馈控制器,使闭环系统正则、无脉冲、随机稳定;最后,通过仿真算例验证了所提出方法的有效性.The stability and stabilization problems of continuous-time singular Markov jump system with partly unknown transition probabilities are investigated.The system considered is more general,including completely known and completely unknown conditions as two special cases.A sufficient condition for such systems to be regular,impulse-free and stochastically stable is proposed based on linear matrix inequality（LMI） approach.Moreover,the state feedback controller is designed in terms of a set of LMIs to make the closed-loop systems regular,impulse-free and stochastically stable.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.

关 键 词：广义系统 MARKOV跳变系统 镇定性 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]