Synchronization of Discrete-Time Switched 2-D Systems with Markovian Topology via Fault Quantized Output Control

被引：2

作者：

Qin, Xue ^{[1
]}

Shi, Lei ^{[2
]}

Zou, Yi ^{[1
]}

Tu, Zhengwen ^{[3
]}

Xiong, Xiaolin ^{[4
]}

Yang, Xinsong ^{[5
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[2] Guilin Univ Technol, Dept Math, Guilin 541000, Peoples R China

[3] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404100, Peoples R China

[4] Zhanjiang Univ Sci & Technol, Coll Intelligent Mfg, Zhanjiang 524000, Peoples R China

[5] Sichuan Univ, Coll Elect & Informat Engn, Chengdu 610065, Peoples R China

来源：

NEURAL PROCESSING LETTERS | 2022年 / 54卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Actuator fault; 2-D system; Markov chain; Output control; Quantization; Synchronization; COUPLED NEURAL-NETWORKS; MIXED DELAYS; EXPONENTIAL SYNCHRONIZATION; 2-DIMENSIONAL SYSTEMS; STABILITY ANALYSIS; STABILIZATION;

D O I：

10.1007/s11063-021-10626-3

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper considers the global exponential synchronization almost surely (GES a.s.) in an array of two-dimensional (2-D) discrete-time systems with Markovian jump topology. Considering the fact that external disturbances are inevitable and communication resources are limited, mode-dependent quantized output control with actuator fault (AF) is designed. Sufficient conditions formulated by linear matrix inequalities (LMIs) are given to ensure the GES a.s. Control gains of the controller without AF is designed by solving the LMIs. It is shown that the stationary distribution of the transition probability of the Markov chain plays an important role in our study, which makes it possible that some of the modes are not controlled. Numerical examples are given to illustrate the effectiveness of theoretical analysis.

引用

页码：165 / 180

页数：16

共 54 条

[1] Stochastic stability analysis for 2-D Roesser systems with multiplicative noise
Ahn, Choon Ki
Wu, Ligang
Shi, Peng
[J]. AUTOMATICA, 2016, 69 : 356 - 363
[2] Two-Dimensional Dissipative Control and Filtering for Roesser Model
Ahn, Choon Ki
Shi, Peng
Basin, Michael V.
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (07) : 1745 - 1759
[3] A Decentralized Fault-Tolerant Control System for Accommodation of Failures in Higher-Order Flight Control Actuators
Boskovic, Jovan D.
Mehra, Raman K.
[J]. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2010, 18 (05) : 1103 - 1115
[4] New Criteria on Exponential Lag Synchronization of Switched Neural Networks with Time-Varying Delays
Cao, Yuting
Wen, Shiping
Huang, Tingwen
[J]. NEURAL PROCESSING LETTERS, 2017, 46 (02) : 451 - 466
[5] Exponential synchronization of Markovian jumping neural networks with partly unknown transition probabilities via stochastic sampled-data control
Chandrasekar, A.
Rakkiyappan, R.
Rihan, Fathalla A.
Lakshmanan, S.
[J]. NEUROCOMPUTING, 2014, 133 : 385 - 398
[6] Adaptive Neural Fault-Tolerant Control of a 3-DOF Model Helicopter System
Chen, Mou
Shi, Peng
Lim, Cheng-Chew
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2016, 46 (02): : 260 - 270
[7] Gain-scheduled control of two-dimensional discrete-time linear parameter-varying systems in the Roesser model
de Souza, Carlos E.
Osowsky, Jefferson
[J]. AUTOMATICA, 2013, 49 (01) : 101 - 110
[8] H∞ control and robust stabilization of two-dimensional systems in Roesser models
Du, CL
Xie, LH
Zhang, CS
[J]. AUTOMATICA, 2001, 37 (02) : 205 - 211
[9] Quasi-Time-Dependent Output Control for Discrete-Time Switched System With Mode-Dependent Average Dwell Time
Fei, Zhongyang
Shi, Shuang
Wang, Zhenhuan
Wu, Ligang
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (08) : 2647 - 2653
[10] The sector bound approach to quantized feedback control
Fu, MY
Xie, LH
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) : 1698 - 1711

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