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.

引用

页数：13

共 50 条

[1] Robust Output Feedback Control for One-sided Lipschitz Nonlinear Discrete-time Singular Markov Jump Systems with Dissipativity Constraints
Hanyi Ding
Junchao Ren
[J]. International Journal of Control, Automation and Systems, 2023, 21 : 727 - 734
[2] Robust Output Feedback Control for One-sided Lipschitz Nonlinear Discrete-time Singular Markov Jump Systems with Dissipativity Constraints
Ding, Hanyi
Ren, Junchao
[J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2023, 21 (3) : 727 - 734
[3] Analysis of iterative learning control for one-sided Lipschitz nonlinear singular systems
Gu, Panpan
Tian, Senping
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (01): : 196 - 208
[4] Robust sliding mode control for stochastic singular Markovian jump systems with unmatched one-sided Lipschitz nonlinearities
Ren, Junchao
Sun, Qingdong
Fu, Jun
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (05): : 1821 - 1851
[5] Unknown Input Observer Design for One-Sided Lipschitz Nonlinear Continuous-Time Singular Markovian Jump Systems
Tian, Jiaming
Ma, Shuping
[J]. PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 1920 - 1925
[6] Sliding Mode Control of One-Sided Lipschitz Nonlinear Markovian Jump Systems With Partially Unknown Transition Rates
Li, Yuan
Sun, Qingdong
Ren, Junchao
Liu, Yang
[J]. IEEE ACCESS, 2020, 8 : 158306 - 158316
[7] Finite-time H∞ Dynamic Output Feedback Control for One-Sided Lipschitz Nonlinear Rectangular Descriptor Markov Jump Systems
Song, Xue
Ma, Shuping
[J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2024, 43 (05) : 2695 - 2722
[8] Output-feedback control for singular Markovian jump systems
Kwon, Nam Kyu
Park, In Seok
Park, PooGyeon
[J]. 2016 55TH ANNUAL CONFERENCE OF THE SOCIETY OF INSTRUMENT AND CONTROL ENGINEERS OF JAPAN (SICE), 2016, : 1015 - 1019
[9] H∞ Static Output Tracking Control of Nonlinear Systems with One-Sided Lipschitz Condition
Liu, Leipo
Song, Xiaona
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[10] Robust finite-time H∞ control for one-sided Lipschitz nonlinear systems via state feedback and output feedback
Song, Jun
He, Shuping
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (08): : 3250 - 3266

← 1 2 3 4 5 →