Non-fragile observer-based passive control for discrete-time systems with repeated scalar non-linearities

被引：10
作者：
Arthi, G. [1 ,2 ]
Lee, Tae H. [1 ]
Park, Ju H. [1 ]
Jung, H. Y. [1 ]
机构：
[1] Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, 280 Daehak Ro, Kyongsan 712749, South Korea
[2] PSGR Krishnammal Coll Women, Dept Math, Coimbatore 641004, Tamil Nadu, India
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2016年 / 33卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
discrete-time systems; observer-based passive control; repeated scalar non-linearities; time-varying delays; H-INFINITY CONTROL; MARKOVIAN JUMP SYSTEMS; DELAY SYSTEMS; FEEDBACK-CONTROL; STATE ESTIMATION; NEURAL-NETWORKS; VARYING DELAY; STABILIZATION; UNCERTAINTY; SATURATION;
D O I：
10.1093/imamci/dnv013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the non-fragile observer-based passive control problem is discussed for a class of systems with repeated scalar non-linearities and time-varying delays. The non-linear system is defined by a discrete-time state equation containing a repeated scalar non-linearity. The system under consideration is modelled by assuming the random imperfect communication links existing between the controller and observer. The random fluctuations are defined by utilizing the Bernoulli distributed white sequences. The non-fragile observer-based feedback controller gains are designed to guarantee that the considered closed-loop control system with repeated scalar non-linearities and time-varying delays is passive. Sufficient conditions are derived for the existence of controller and observer gains by using the Lyapunov stability theory, passivity theory and linear matrix inequalities. As a final point, a numerical example by using a marketing-production system is presented to demonstrate the effectiveness of the proposed theoretical results.
引用
收藏
页码：893 / 910
页数：18
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