离散周期Markov跳变系统的鲁棒耗散控制  

Robust dissipative control for discrete-time periodic Markovian jump systems

作　　者：李秀英 姜囡 LI Xiuying;JIANG Nan(School of Mathematics,Tonghua Normal University,Tonghua Jilin 134002,China;Department of Audio-Visual and Image Technology,Criminal Investigation Police University of China,Shenyang 110854,China)

机构地区：[1]通化师范学院数学学院,吉林通化134002 [2]中国刑事警察学院声像资料检验技术系,沈阳110854

出　　处：《华东师范大学学报（自然科学版）》2020年第6期16-23,共8页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金青年基金(61304021)。

摘　　要：研究了一类具有不完全转移率的不确定离散周期Markov跳变系统的鲁棒耗散控制问题.通过构造Lyapunov函数,利用线性矩阵不等式,设计周期状态反馈严格耗散控制器,使闭环系统在转移率部分未知的条件下随机稳定且严格耗散.最后,通过数值算例验证了所提出方法的有效性.In this paper,we discuss the robust dissipative control problem of uncertain discrete-time periodic Markovian jump systems with incomplete transition rates.By employing the Lyapunov function,a periodic state feedback controller using linear matrix inequalities is designed,that ensures the resultant closed-loop system with incomplete transition rates is stochastically stable and strictly dissipative.Lastly,an example is given to illustrate the effectiveness of the proposed method.

关 键 词：周期Markov跳变系统 耗散控制 不完全转移率 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]