Towards a global controller design for guaranteed synchronization of switched chaotic systems

被引：11
|
作者：
Pan, Indranil [1 ]
Das, Saptarshi [1 ,2 ]
Routh, Avijit [1 ]
机构：
[1] Jadavpur Univ, Dept Power Engn, Kolkata 700098, India
[2] Univ Southampton, Sch Elect & Comp Sci, Southampton SO17 1BJ, Hants, England
来源：
APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 08期
关键词：
Chaos synchronization; Linear matrix inequality (LMI); Nonlinear state feedback controller; Robust stability; Switched chaotic system; Unified chaotic system; OPTIMIZATION; ALGORITHMS; STABILITY;
D O I：
10.1016/j.apm.2014.10.039
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, synchronization of identical switched chaotic systems is explored based on Lyapunov theory of guaranteed stability. Concepts from robust control principles and switched linear systems are merged together to derive a sufficient condition for synchronization of identical master-slave switched nonlinear chaotic systems and are expressed in the form of bilinear matrix inequalities (BMIs). The nonlinear controller design problem is then recast in the form of linear matrix inequalities (LMIs) to facilitate numerical computation by standard LMI solvers and is illustrated by appropriate examples. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：2311 / 2331
页数：21
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