转移概率部分已知的Markov跳变系统鲁棒H_2控制  

Robust H_2 Control for Uncertain Markov Jump Linear Systems with Partly Known Transition Rates

作　　者：叶丹[1] 范泉涌[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2013年第2期153-156,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(61273155);全国百篇优秀博士学位论文作者专项基金资助项目(201157);教育部新世纪人才支持计划项目(NCET-11-0083);中央高校基本科研业务费专项资金资助项目(N100404023)

摘　　要：研究一类具有多胞型不确定性的Markov跳变连续时间系统的鲁棒H2控制问题.这类系统跳跃过程中的转移概率包括完全已知、未知但已知转移概率的上下界和完全未知三种情况.首先针对此类Markov跳变系统,基于参数依赖型Lyapunov函数给出新的鲁棒稳定性判据,然后在线性矩阵不等式的框架下得到相应的鲁棒H2控制器设计方法.数值仿真算例验证了本方法的有效性.The robust H2 control problem for a class of continuous-time Markov jump linear systems with polytopic-type parameter uncertainty was investigated.The considered transition probabilities includes completely known case,partly unknown with known lower and upper bounds case and completely unknown case.Firstly,based on the parameter-dependent Lyapunov function,new stability condition for this kind of uncertain Markov jump systems was derived.And then,the corresponding robust H2 controller design method was proposed in the framework of linear matrix inequalities.Finally,numerical examples were given to demonstrate the effectiveness of the proposed method.

关 键 词：MARKOV跳变系统 部分已知转移概率 不确定性 H2控制 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]