参数不确定离散马尔可夫跳跃广义系统的鲁棒输出反馈镇定  

Robust Output Feedback Stabilization for with Parameters Discrete-Time Markov Jump Descriptor Systems

作　　者：张华平[1,2] 范洪达[1] 董浩[2] 马晓燕[3] 

机构地区：[1]海军航空工程学院电子信息工程系,山东烟台264001 [2]烟台大学网络与教育技术中心,山东烟台264005 [3]内蒙古电视台网络信息服务中心,呼和浩特010058

出　　处：《海军航空工程学院学报》2010年第4期427-432,共6页Journal of Naval Aeronautical and Astronautical University

摘　　要：讨论了含参数不确定的离散马尔可夫跳跃广义系统的鲁棒输出反馈镇定问题。基于受限系统等价（r.s.e.）变换和通过引入新的状态变量,将所讨论的广义系统等价转换为离散马尔可夫跳跃标准线性系统。通过对转换后的系统进行讨论,得到了使闭环系统正则、因果且随机稳定的鲁棒输出反馈控制器存在的线性矩阵不等式充分条件,该控制器可以是降阶的。最后用一个数值算例说明了文中方法的有效性。The robust output feedback stabilization problem for discrete-time Markov jump descriptor systems with parameter uncertainties was discussed. Based on the restricted system equivalent （r.s.e.） transformation and by introducing new state vectors, the descriptor system was transformed into a discrete-time Markov jump standard linear system. Then by discussing the transformed system, the output feedback controller was obtained based on the linear matrix inequalities sufficient condition which guaranteed that the closed-loop system was regular, causal, robust stochastically stable, the output feedback controller obtained could be reduced order. A numerical example illustrated the effectiveness of the method given in this paper.

关 键 词：离散广义系统 马尔可夫跳跃系统 输出反馈 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]