Robust guaranteed cost control for discrete-time systems via partially delay-dependent controller with linear fractional uncertainties

被引：5
|
作者：
Pagavathigounder, Balasubramaniam [1 ]
Dhanasekaran, Nishanthi [1 ]
Ali, Jarina Banu Liyakath [1 ]
机构：
[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India
来源：
COMPLEXITY | 2016年 / 21卷 / S2期
关键词：
guaranteed cost function; partially delay-dependent control; Markov chain; linear fractional uncertainties; Wirtinger-based inequality; linear matrix inequality; NEURAL-NETWORKS; VARYING DELAYS; STABILITY-CRITERIA; NEUTRAL TYPE; SYNCHRONIZATION; DESIGN;
D O I：
10.1002/cplx.21787
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, a partially delay-dependent controller is designed to analyze the guaranteed performance analysis of a class of uncertain discrete-time systems with time-varying delays. By constructing suitable Lyapunov-Krasovskii Functional (LKF), sufficient conditions are derived to ensure the system to be robustly stochastically stable in mean square sense by using Wirtinger-based inequality and convex reciprocal lemma. The proper cost function is chosen to guarantee an adequate level of performance. The derived conditions are expressed in terms of linear matrix inequalities (LMIs) which can be easily solved by LMI Toolbox in MATLAB. Further, the advantage of employing the obtained results is illustrated via numerical examples. (c) 2016 Wiley Periodicals, Inc. Complexity 21: 113-122, 2016
引用
收藏
页码：113 / 122
页数：10
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