Admissibility analysis and passive output feedback control for one-sided Lipschitz nonlinear singular Markovian jump systems with uncertainties

被引：5
|
作者：
Ren, Junchao [1 ]
Feng, Lihong [1 ]
Fu, Jun [2 ]
Zhuang, Tianyu [1 ]
机构：
[1] Northeastern Univ, Coll Sci, Shenyang 110819, Liaoning, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 409卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear singular system; Descriptor systems; Stochastic admissibility; Passive output feedback; One-sided Lipschitz; Markkovian jump system; INFINITY OBSERVER DESIGN; SLIDING MODE-CONTROL; H-INFINITY; ROBUST NORMALIZATION; TIME-DELAY; STABILIZATION; STABILITY;
D O I：
10.1016/j.amc.2021.126405
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper investigates admissibility analysis, the existence and uniqueness (EU) of solutions and robustly passive asynchronous static output feedback (SOF) control for onesided Lipschitz (OSL) nonlinear singular Markovian jump systems (SMJSs) with uncertainties. Sufficient conditions are derived to guarantee that OSL nonlinear SMJSs are regular, impulse-free, stochastically stable and have a unique solution with passive performance by using implicit function theorem. With these conditions, the design of robust asynchronous SOF controller is presented in form of linear matrix inequality (LMI) constraints. Finally, an example is given to evaluate the operation of our proposed methods. (C) 2021 Elsevier Inc. All rights reserved.
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页数：13
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