Event-triggered non-fragile control for uncertain positive Roesser model with PDT switching mechanism

被引：14

作者：

Wang, Jinling ^{[1
]}

Liang, Jinling ^{[2
]}

Zhang, Cheng-Tang ^{[1
]}

Fan, Dongmei ^{[1
]}

机构：

[1] Anhui Agr Univ, Sch Sci, Hefei 230036, Peoples R China

[2] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 406卷

基金：

中国国家自然科学基金;

关键词：

Roesser model; Persistent dwell time switching; Event-triggered scheme; Non-fragile control; Positivity; OUTPUT-FEEDBACK CONTROL; FINITE-TIME CONTROL; H-INFINITY; LINEAR-SYSTEMS; STABILIZATION; STABILITY; DESIGN; L-1-GAIN;

D O I：

10.1016/j.amc.2021.126266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the issue of non-fragile control is addressed for the positive discrete-time Roesser model with uncertain parameters, where the switching mechanism obeys the persistent dwell time (PDT) constraint. First of all, in order to reduce the resource occupancy, a event-triggered (E-T) mechanism is introduced for the considered positive Roesser model. Then two kinds of non-fragile controllers combining with the E-T scheme are designed. By utilizing the PDT idea and the co-positive-type Lyapunov function method, sufficient conditions to ensure that the resulting closed-loop systems are positive and robust exponentially stable are presented. In addition, explicit expressions for the related controller gain matrices are also provided. Finally, an illustrative simulation example is given to show feasibility of the developed theoretical results. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：17

共 48 条

[1] Robust event-triggered output feedback controllers for nonlinear systems [J].

Abdelrahim, Mahmoud ;

Postoyan, Romain ;

Daafouz, Jamal ;

Nesic, Dragan .

AUTOMATICA, 2017, 75 :96-108

[2] Event-triggered H∞ filter design for sampled-data systems with quantization [J].

Chen, Gang ;

Chen, Yun ;

Zeng, Hong-Bing .

ISA TRANSACTIONS, 2020, 101 :170-176

[3] Stability analysis and stabilization of 2-D singular Roesser models [J].

Chen, Shyh-Feng .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 250 :779-791

[4] Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems [J].

Dai, Mingcheng ;

Huang, Zhengguo ;

Xia, Jianwei ;

Meng, Bo ;

Wang, Jian ;

Shen, Hao .

APPLIED MATHEMATICS AND COMPUTATION, 2019, 362

[5] Dynamic output feedback H∞ control of continuous-time switched affine systems [J].

Deaecto, Grace S. .

AUTOMATICA, 2016, 71 :44-49

[6] Steady-state analysis of delay interconnected positive systems and its application to formation control [J].

Ebihara, Yoshio ;

Peaucelle, Dimitri ;

Arzelier, Denis .

IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (16) :2783-2792

[7] Quasi-time-dependent stabilisation for 2-D switched systems with persistent dwell-time [J].

Fan, Yougao ;

Wang, Mao ;

Liu, Guangtong ;

Zhang, Bin ;

Ma, Libin .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (16) :2885-2897

[8] Finite-time H∞ static and dynamic output feedback control for a class of switched nonlinear time-delay systems [J].

Gholami, Hadi ;

Shafiei, Mohammad Hossein .

APPLIED MATHEMATICS AND COMPUTATION, 2021, 389

[9] Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle [J].

Hespanha, JP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (04) :470-482

[10] Positive Observer Design for Linear Impulsive Positive Systems with Interval Uncertainties and Time Delay [J].

Hu, Meng-Jie ;

Wang, Yan-Wu ;

Xiao, Jiang-Wen .

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2017, 15 (03) :1032-1039

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