时滞广义Markov系统的非脆弱保成本控制  

Non-Fragile Guaranteed Cost Control of Singular Markovian Jump System with Time-Delays

作　　者：王国良[1] 周振文[1] 张鹏[1] 

机构地区：[1]辽宁石油化工大学信息与控制工程学院,辽宁抚顺113001

出　　处：《辽宁石油化工大学学报》2014年第4期58-62,80,共6页Journal of Liaoning Petrochemical University

基　　金：国家自然科学基金项目(61104066;61374043);中国博士后科学基金面上项目(2012M521086);辽宁省高等学校优秀人才支持计划(LJQ2013040)

摘　　要：在实际控制系统中,计算精度或者参数漂移等因素对控制器产生影响,使控制器本身具有不确定性,破坏了原有设计的控制效果,针对这一问题,对时滞广义Markov系统进行了非脆弱保成本控制的研究。控制器增益具有加法摄动和乘法摄动两种情况,以线性矩阵不等式的形式给出了在两种情况下非脆弱控制器增益的求解方法,实现对时滞广义Markov系统的保成本控制。最后,利用数值例子验证了算法的有效性。In the actual systems,due to the computation accuracy or parameter drift affecting the controllers,the control effect of the original design would be inevitably destroyed.To deal with this problem,the non-fragile guaranteed cost control of singular Markov jump system with time delays was considered.Under the conditions of perturbation with addition and multiplication properties,the sufficient existence conditions for control gain were expressed by linear matrix inequalities respectively.In the case,the guaranteed cost control of singular Markov jump system with time-delay could be achieved.Finally,the effectiveness of the method was verified by a numerical example.

关 键 词：广义Markov系统 时滞 非脆弱 保成本控制 线性矩阵不等式 

分 类 号：O231.3[理学—运筹学与控制论]