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
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