Relaxed nonquadratic stabilization conditions for Markovian jump fuzzy systems with incomplete transition descriptions

被引：6
作者：
Kim, Sung Hyun [1 ]
机构：
[1] Univ Ulsan, Sch Elect Engn, Daehak Ro 93, Ulsan 680749, South Korea
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 14期
基金：
新加坡国家研究基金会;
关键词：
UNCERTAIN SWITCHING PROBABILITIES; NETWORKED CONTROL-SYSTEMS; OUTPUT-FEEDBACK CONTROL; TAKAGI-SUGENOS FORM; CONTROL DESIGN; LINEAR-SYSTEMS; NONLINEAR-SYSTEMS; TIME-DELAY; RELAXATION TECHNIQUE; STABILITY;
D O I：
10.1016/j.jfranklin.2016.06.032
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 deriving relaxed mean-square stability and Ho. performance conditions for discrete-time MJFSs under a general description of transition probabilities. In the derivation, some available constraints are exploited on the basis of the property of transition probabilities, and then a two-stage relaxation scheme is proposed to reduce the conservatism that can arise from incomplete knowledge of probabilities as well as from fuzzy basis functions. Finally, nonquadratic stabilization conditions are derived in terms of LMIs, whose effectiveness is shown by two illustrative examples. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：3441 / 3456
页数：16
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