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| 广义马尔科夫跳变系统的部分模态依赖观测器设计 | |
| 引用本文： | 王国良,孙广兢,薄海英.广义马尔科夫跳变系统的部分模态依赖观测器设计[J].控制与决策,2015,30(4):733-738. |
| 作者姓名： | 王国良 孙广兢 薄海英 |
| 作者单位： | 辽宁石油化工大学信息与控制工程学院 |
| 基金项目： | 国家自然科学基金项目(61104066,61374043);中国博士后科学基金项目(2012M521086);辽宁省自然科学基金项目(2014020106);辽宁省高等学校优秀人才支持计划项目(LJQ2013040) |
| 摘 要： | 针对系统状态变量不完全可测以及系统模态不能实时获得的实际情况,研究广义马尔科夫跳变系统的部分模态依赖观测器及相应控制器的设计问题.基于线性矩阵不等式技术,运用模态依赖的李雅普诺夫函数讨论广义马尔科夫系统的正则和无脉冲特性,给出使系统随机稳定的基于观测器的控制器存在的充分条件.最后通过数值算例验证了所提出设计方法的有效性和优越性. |
| 关 键 词： | 马尔科夫跳变系统 部分模态依赖 观测器 线性矩阵不等式 |
| 收稿时间： | 2014/2/13 0:00:00 |
| 修稿时间： | 2014/4/17 0:00:00 |
Partially mode-dependent observer design of singular Markovian jump systems |
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| WANG Guo-liang SUN Guang-jing BO Hai-ying.Partially mode-dependent observer design of singular Markovian jump systems[J].Control and Decision,2015,30(4):733-738. | |
| Authors: | WANG Guo-liang SUN Guang-jing BO Hai-ying |
| Affiliation: | WANG Guo-liang;SUN Guang-jing;BO Hai-ying;School of Information and Control Engineering,Liaoning Shihua University; |
| Abstract: | Due to many practical system state variables partially observable and system modes not acquired online, an approach is developed to discuss the design of the partially mode-dependent observer and the controller for singular Markovian jump systems(SMJSs). Based on the LMI approach, a mode-dependent Lyapunov function is exploited to discuss the regularity and impulse-elimination of SMJSs. Sufficient conditions for the existence of the observer-based controller such that the closed-loop system is stochastically admissible are given in terms of LMIs. Finally, a numerical example is given to illustrate the effectiveness and the superiority of the design methods. |
| Keywords: | Markovian jump systems|partially mode-dependent|observer|LMI |
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