Finite-time asynchronous control of linear time-varying switched systems

被引：9
|
作者：
Wang, Ronghao [1 ]
Xing, Jianchun [1 ]
Xiang, Zhengrong [2 ]
机构：
[1] Army Engn Univ, Natl Def Engn Coll, Nanjing 210007, Peoples R China
[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING | 2021年 / 35卷 / 09期
基金：
中国国家自然科学基金;
关键词：
asynchronous control; finite-time boundedness; finite-time stability; nonlinear differential matrix inequalities; time-varying switched systems; ASYMPTOTIC STABILITY; DELAYS;
D O I：
10.1002/acs.3291
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the framework of asynchronous control, finite-time stabilization and finite-time bounded stabilization of linear time-varying (LTV) switched systems are investigated. A necessary and sufficient condition for finite-time stability (FTS) of LTV switched systems is proposed based on differential matrix inequalities (DMIs). Moreover, we extend the FTS result to the case of finite-time boundedness (FTB), and present a sufficient condition of FTB for LTV switched systems using the average dwell time method which can be used for design proposes. Then we turn to the design problem of asynchronously switched control to guarantee FTS or FTB of LTV switched systems and give a sufficient condition for the state feedback stabilization in the form of nonlinear DMIs (NDMIs). A numerical method is proposed to solve NDMIs approximately. Finally, two examples are given to illustrate the validity of the results.
引用
收藏
页码：1824 / 1841
页数：18
相关论文
共 50 条
  • [21] Numerical algorithm for analyzing the finite-time stability of linear time-varying systems
    Chen Z.-H.
    Xie Y.-C.
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2019, 36 (02): : 220 - 230
  • [22] Finite-Time Stability of a Class of Uncertain Switched Nonlinear Systems with Time-Varying Delay
    La-inchua, Teerapong
    Yotha, Narongsak
    THAI JOURNAL OF MATHEMATICS, 2022, 20 (02): : 747 - 757
  • [23] Event-triggered finite-time extended dissipative control for switched linear neutral systems with time-varying delays and frequent asynchronism
    Yan, Rongrong
    Wu, Baowei
    Wang, Yue-E
    Liu, Lili
    EUROPEAN JOURNAL OF CONTROL, 2024, 80
  • [24] Finite-Time Asynchronous H∞ Nonfragile Control for Markov Jump Systems with Time-Varying Mode Detection Probabilities
    Li, Feng
    Zheng, Wei Xing
    2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 4871 - 4876
  • [25] Finite-time stability and stabilization for time-varying systems *
    He, Xinyi
    Li, Xiaodi
    Nieto, Juan J.
    CHAOS SOLITONS & FRACTALS, 2021, 148
  • [26] Finite-Time Boundedness of Switched Time-Varying Delay Systems With Actuator Saturation: Applications in Water Pollution Control
    Shanmugam, Saravanan
    Ali, M. Syed
    Narayanan, G.
    Rhaima, Mohamed
    IEEE ACCESS, 2024, 12 : 11700 - 11710
  • [27] Finite-time asynchronous resilient observer design of a class of non-linear switched systems with time-delays and uncertainties
    Lyu, Xiaoxiao
    Ai, Qilong
    Yan, Zhiguo
    He, Shuping
    Luan, Xiaoli
    Liu, Fei
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (07) : 952 - 963
  • [28] The finite-time boundedness and control analysis of switched nonlinear time-varying delay systems based on auxiliary matrices
    Wang, Wenqin
    Qi, Xin
    Zhong, Shouming
    Liu, Feng
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (18): : 14290 - 14308
  • [29] Finite-time boundedness and finite-time weighted L2-gain analysis for a class of neutral type switched systems with time-varying delays
    Lin, Xiangze
    Yang, Zhonglin
    Li, Shihua
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (09) : 1703 - 1717
  • [30] Finite-time control of discrete-time systems with time-varying exogenous disturbance
    Zhu, Lin
    Shen, Yanjun
    Li, Cuicui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (02) : 361 - 370
12345