Finite-time dissipative control for singular discrete-time Markovian jump systems with actuator saturation and partly unknown transition rates

被引：79
|
作者：
Ma, Yuechao [1 ]
Jia, Xiaorui [1 ]
Liu, Deyou [1 ]
机构：
[1] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Hebei, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2018年 / 53卷
基金：
美国国家科学基金会;
关键词：
Finite-time dissipative control; Discrete-time singular system; Actuator saturation; Partly unknown transition rates; Linear matrix inequality; H-INFINITY CONTROL; LINEAR-SYSTEMS; DELAY SYSTEMS; STABILITY ANALYSIS; NEURAL-NETWORKS; STABILIZATION; SUBJECT;
D O I：
10.1016/j.apm.2017.07.035
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, the finite-time dissipative control problem is considered for singular discrete time Markovian jumping systems with actuator saturation and partly unknown transition rates. By constructing a proper Lyapunov Krasonski functional and the method of linear matrix inequalities (LMIs), sufficient conditions that ensure the systems singular stochastic finite-time stability and singular stochastic finite-time dissipative are obtained. Then, the state feedback controllers are designed, and in order to get the optimal values of the dissipative level, the results are extended to LMI convex optimization problems. Finally, numerical examples are given to illustrate the validity of the proposed methods. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：49 / 70
页数：22
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