Stabilization of discrete-time linear systems with infinite distributed input delays

被引：1

作者：

Guo, Yige ^{[1
,2
]}

Xu, Xiang ^{[3
]}

Liu, Lu ^{[2
]}

Wang, Yong ^{[1
]}

Feng, Gang ^{[2
]}

机构：

[1] Univ Sci & Technol China, Dept Automation, Hefei 230026, Peoples R China

[2] City Univ Hong Kong, Dept Biomed Engn, Kowloon, Hong Kong, Peoples R China

[3] Southern Univ Sci & Technol, Dept Elect & Elect Engn, Shenzhen, Peoples R China

来源：

AUTOMATICA | 2023年 / 148卷

关键词：

Discrete-time systems; Infinite delays; Distributed input delays; Stabilization; FUNCTIONAL DIFFERENCE-EQUATIONS; STABILITY ANALYSIS; PREDICTOR FEEDBACK; GLOBAL STABILITY; EQUIVALENCE; RAZUMIKHIN; NETWORKS; BEHAVIOR;

D O I：

10.1016/j.automatica.2022.110786

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the stabilization problem of discrete-time linear systems with infinite dis-tributed input delays. A novel framework is adopted to analyze the stability of the concerned systems. Under this framework, two truncated predictor feedback controllers are developed for two classes of discrete-time linear systems with infinite distributed input delays via the low gain method respectively. It is shown that under the designed controllers, those two classes systems are globally exponentially stable. To the best of our knowledge, this is the first time that the stabilization problem of discrete-time linear systems with infinite distributed input delays is considered. Two simulation examples are provided to illustrate the effectiveness of the proposed controllers. (c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：9

共 50 条

[21] Exponential stability of predictor feedback for discrete-Time linear systems with input delays
Choi, Joon-Young
Choi, J.-Y. (jyc@pusan.ac.kr), 2013, Institute of Control, Robotics and Systems (19) : 583 - 586
[22] Consensus of Discrete-Time Linear Multiagent Systems With Communication, Input and Output Delays
Xu, Xiang
Liu, Lu
Feng, Gang
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (02) : 492 - 497
[23] A Parametric Predictor for Disturbance Attenuation of Discrete-Time Linear Systems With Input Delays
Wu, Ai-Guo
Wang, Yu
Zhang, Ying
IEEE TRANSACTIONS ON CYBERNETICS, 2024, 54 (02) : 839 - 850
[24] Linear quadratic regulation for discrete-time systems with multiplicative noises and input delays
Zhang, Huanshui
Xie, Lihua
2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 1718 - +
[25] Decentralized Stabilization of Descriptor Fractional Positive Discrete-Time Linear Systems with Delays
Sajewski, Lukasz
AUTOMATION 2018: ADVANCES IN AUTOMATION, ROBOTICS AND MEASUREMENT TECHNIQUES, 2018, 743 : 276 - 287
[26] Stabilization and optimal control of discrete-time systems with multiplicative noise and multiple input delays
Li, Lin
Zhang, Huanshui
Wang, Yu
SYSTEMS & CONTROL LETTERS, 2021, 147
[27] Semi-global stabilization of linear systems with distributed infinite input delays and actuator saturations
Xu, Xiang
Liu, Lu
Feng, Gang
AUTOMATICA, 2019, 107 : 398 - 405
[28] Fully distributed consensus of discrete-time linear multi-agent systems with large input and communication delays
Zhang, Lixuan
Zhang, Kai
Zhou, Bin
ISA TRANSACTIONS, 2024, 151 : 41 - 50
[29] Robust stabilization of linear discrete-time systems with time-varying input delay
Gonzalez, Antonio
AUTOMATICA, 2013, 49 (09) : 2919 - 2922
[30] Robust H∞ Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delays
Wei, Guoliang
Feng, Gang
Wang, Zidong
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (01) : 224 - 232

← 1 2 3 4 5 →