Stability Analysis of Discrete-Time Switched Systems With Unstable Modes: An Improved Ratio-Based Tradeoff Approach

被引：6
|
作者：
Wang, Zi-Ming [1 ]
Wei, Airong [1 ]
Zhao, Xudong [2 ]
Zhang, Xianfu [1 ]
Li, Fan [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
[2] Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2021年 / 68卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Switches; Switched systems; Stability criteria; Lyapunov methods; Circuit stability; unstable modes; multiple discontinuous Lyapunov functions; mode-dependent average dwell time; stability; STABILIZATION; SUBSYSTEMS;
D O I：
10.1109/TCSII.2020.3004400
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This brief investigates the stability of switched systems with unstable modes in discrete-time context. To enlarge the room for switching scheme design, a new multiple discontinuous Lyapunov functions (MDLFs) method is developed, and a novel mode-dependent average dwell time (MDADT) tradeoff strategy is explored. Subsequently, based on the new MDLFs method, stability criteria are achieved for the systems under arbitrary switching signals with the MDADT-based tradeoff switching scheme. Finally, the proposed results are applied to a Pulse-Width-Modulation driven boost converter to demonstrate the effectiveness.
引用
收藏
页码：431 / 435
页数：5
相关论文
共 50 条
  • [31] Stability and stabilization in switched discrete-time systems
    Zhang, Hui
    Shi, Yang
    Mehr, Aryan Saadat
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2012, 26 (11) : 991 - 1012
  • [32] On Stability of Switched Discrete-Time Singular Systems
    Raj, Phani
    Pal, Debasattam
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (10) : 7112 - 7119
  • [33] Switching regulation based stabilisation of discrete-time 2D switched systems with stable and unstable modes
    Hua, Changchun
    Liu, Guopin
    Guan, Xinping
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (07): : 953 - 960
  • [34] A Generating Function Approach to the Stability of Discrete-Time Switched Linear Systems
    Hu, Jianghai
    Shen, Jinglai
    Zhang, Wei
    HSSC 10: PROCEEDINGS OF THE 13TH ACM INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2010, : 273 - 282
  • [35] ANALYSIS OF DISCRETE-TIME LINEAR SWITCHED SYSTEMS: A VARIATIONAL APPROACH
    Monovich, Tal
    Margaliot, Michael
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (02) : 808 - 829
  • [36] Stability analysis of discrete-time cyclic switched systems under improved cyclic switching regularity
    Shen, Qian
    Chen, Yihan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (17): : 9971 - 9988
  • [37] The new stability criteria of discrete-time switched systems with an improved mode dependent average dwell time approach
    Yu, Qiang
    Lv, Hao
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 366
  • [38] Stability analysis and stabilization control of discrete-time impulsive switched time-delay systems with all unstable subsystems
    Jiang, Na
    Sun, Yuangong
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2024, 29 (03): : 449 - 465
  • [39] Improved stability results for discrete-time switched systems: A multiple piecewise convex Lyapunov function approach
    Wang, Ruihua
    Jiao, Ticao
    Zhang, Tao
    Fei, Shumin
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 353 : 54 - 65
  • [40] Stability analysis for switched systems with continuous-time and discrete-time subsystems
    Zhai, GS
    Lin, H
    Michel, AN
    Yasuda, K
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 4555 - 4560
12345