具有马尔可夫链的二维罗塞尔系统的异步输出反馈耗散控制  

Asynchronous Output Feedback Dissipative Control for Two-Dimensional Rosel Systems with Markov Chains

作　　者：叶志勇 罗良刚 罗小玉 YE Zhiyong;LUO Lianggang;LUO Xiaoyu(College of Science,Chongqing University of Technology,Chongqing 400054,China)

机构地区：[1]重庆理工大学理学院,重庆400054

出　　处：《西南大学学报（自然科学版）》2021年第11期69-79,共11页Journal of Southwest University(Natural Science Edition)

基　　金：重庆自然科学基金项目(2019cc27,2016cc12).

摘　　要：研究了对二维马尔可夫跳系统的耗散控制问题.基于罗塞尔(Roesser)模型对底层系统进行描述.特别地,在处理被控系统与控制器之间的异步时,采用隐马尔可夫模型,并通过条件概率矩阵来构造它们间的关系.利用Lyapunov稳定性理论构造Lyapunov函数并研究了闭环二维系统的渐近稳定性和耗散性,得到了所需的控制增益.最后,通过一个实例来验证了该方法的有效性和潜力.In this paper,the dissipative control of two-dimensional Roesser systems with Markov chains is considered.The underlying system is described based on the Roesser model.In particular,when dealing with the asynchronous phenomenon between the controlled system and the controller,the hidden Markov model is adopted and the relationship between them is constructed by the conditional probability matrix.Using the Lyapunov stability theory and the Lyapunov function,the asymptotic stability and dissipativity of a closed loop two-dimensional system are considered,and the desired control gain is obtained.Finally,an example is presented to show the effectiveness and potential of the proposed design method.

关 键 词：耗散性 二维系统 马尔科夫跳系统 隐马尔可夫模型 

分 类 号：O231[理学—运筹学与控制论]