离散周期Markov跳变系统的鲁棒耗散控制

doi:10.3969/j.issn.1000-5641.201911036

华东师范大学学报（自然科学版） ›› 2020, Vol. 2020 ›› Issue (6): 16-23.doi: 10.3969/j.issn.1000-5641.201911036

离散周期Markov跳变系统的鲁棒耗散控制

李秀英¹, 姜囡²

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

收稿日期:2019-08-14 发布日期:2020-12-01
作者简介:李秀英, 女, 教授, 研究方向为随机系统的控制. E-mail: xiuyingli68@163.com
基金资助:
国家自然科学基金青年基金(61304021)

Robust dissipative control for discrete-time periodic Markovian jump systems

LI Xiuying¹, JIANG Nan²

1. School of Mathematics, Tonghua Normal University, Tonghua Jilin 134002, China;
2. Department of Audio-Visual and Image Technology, Criminal Investigation Police University of China, Shenyang 110854, China

Received:2019-08-14 Published:2020-12-01

摘要/Abstract

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.

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

Abstract: 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.

Key words: periodic Markovian jump systems, dissipative control, incomplete transition rates, linear matrix inequality

中图分类号:

TP13

李秀英, 姜囡. 离散周期Markov跳变系统的鲁棒耗散控制[J]. 华东师范大学学报（自然科学版）, 2020, 2020(6): 16-23.

LI Xiuying, JIANG Nan. Robust dissipative control for discrete-time periodic Markovian jump systems[J]. Journal of East China Normal University(Natural Science), 2020, 2020(6): 16-23.

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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

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