Synchronization for chaotic systems via mixed-objective dynamic output feedback robust model predictive control

被引：18
作者：
Jiang, Wei [1 ]
Wang, Hongli [1 ]
Lu, Jinghui [1 ]
Cai, Guangbin [1 ]
Qin, Weiwei [1 ]
机构：
[1] Xian Inst High Tech, Xian 710025, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 12期
基金：
中国国家自然科学基金;
关键词：
POLYTOPIC UNCERTAIN SYSTEM; FREE CONTROL MOVE; FAST ALGORITHM; MPC; STABILITY; DESIGN; BOUNDS;
D O I：
10.1016/j.jfranklin.2017.05.007
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 paper focuses on mixed-objective dynamic output feedback robust model predictive control (OFRMPC) for the synchronization of two identical discrete-time chaotic systems with polytopic uncertainties, energy bounded disturbances, and input constraint. Using active control strategy, the chaos synchronization is transformed into standard dynamic OFRMPC scenarios tractable through receding horizon min-max optimization. Utilizing the notion of quadratic boundedness, the augmented closed loop stability is further characterized. Then, the concepts of mixed performance criteria are firstly incorporated into the dynamic OFRMPC scheme to guarantee both the robust stability and the disturbance attenuation ability while preserving better dynamical behaviors. Necessary and/or sufficient conditions for desired mixed-objective dynamic OFRMPC are formulated involving linear matrix inequalities (LMIs). Finally, two numerical examples are given to demonstrate the theoretical results. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：4838 / 4860
页数：23
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