Unified stability criteria for continuous-time switched T-S fuzzy systems

被引：1
|
作者：
Liu, Can [1 ]
Mao, Xiang [1 ]
Zheng, Qunxian [2 ]
Zhang, Hongbin [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Informat & Commun Engn, Chengdu, Peoples R China
[2] Anhui Polytech Univ, Sch Elect Engn, Wuhu, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 16期
基金：
中国国家自然科学基金;
关键词：
stability; nonlinear control systems; control system synthesis; time-varying systems; stability criteria; fuzzy control; linear systems; Lyapunov methods; continuous time systems; asymptotic stability; fuzzy systems; unified stability criteria; T-S fuzzy systems; unified stability problem; nonlinear systems; nonlinearities; Takagi-Sugeno; fuzzy models; unified means; switched system; unstable subsystems; mode-dependent average; time switching strategies; fast switching strategy; mode-dependent bounded maximum average; switching-stable subsystems; time-scheduled multiple Lyapunov function; unified stability conditions; LINEAR-SYSTEMS; ASYNCHRONOUS STABILIZATION; CONTROLLER SYNTHESIS; UNSTABLE SUBSYSTEMS; NONLINEAR-SYSTEMS; ROBUST STABILITY; DESIGN;
D O I：
10.1049/iet-cta.2019.1421
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 study explores the unified stability problem for a class of continuous-time switched non-linear systems, in which the non-linearities are described by the Takagi-Sugeno (T-S) fuzzy models. The 'unified' means that the switched system can be arbitrarily composed of either stable or unstable subsystems. Firstly, mode-dependent average dwell time switching strategies are introduced, and the fast switching strategy is improved by a mode-dependent bounded maximum average dwell time. Then, the subsystems are reclassified into 'switching-stable' and 'switching-unstable' subsystems. The state divergence will be absorbed by the 'switching-stable' subsystems. Moreover, by constructing a time-scheduled multiple Lyapunov function, the unified stability conditions are established. Finally, the effectiveness of the achieved results is validated by numerical examples.
引用
收藏
页码：2455 / 2461
页数：7
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