Reliable gain-scheduled control of discrete-time systems and its application to CSTR model

被引：4

作者：

Sakthivel, R. ^{[1
,2
]}

Selvi, S. ^{[3
]}

Mathiyalagan, K. ^{[3
]}

Shi, Y. ^{[4
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon, South Korea

[2] Sri Ramakrishna Inst Technol, Dept Math, Coimbatore, Tamil Nadu, India

[3] Anna Univ, Reg Ctr, Dept Math, Coimbatore, Tamil Nadu, India

[4] Tokai Univ, Grad Sch Sci & Technol, Kumamoto, Japan

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2016年 / 47卷 / 14期

基金：

新加坡国家研究基金会;

关键词：

discrete-time systems; gain-scheduled control; time-varying delay; actuator fault; FAULT-TOLERANT CONTROL; SAMPLED-DATA CONTROL; H-INFINITY; NEURAL-NETWORKS; STOCHASTIC-SYSTEMS; ROBUST STABILITY; FUZZY-SYSTEMS; DELAY; DESIGN; VEHICLE;

D O I：

10.1080/00207721.2015.1084395

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 is focused on reliable gain-scheduled controller design for a class of discrete-time systems with randomly occurring nonlinearities and actuator fault. Further, the nonlinearity in the system model is assumed to occur randomly according to a Bernoulli distribution with measurable time-varying probability in real time. The main purpose of this paper is to design a gain-scheduled controller by implementing a probability-dependent Lyapunov function and linear matrix inequality (LMI) approach such that the closed-loop discrete-time system is stochastically stable for all admissible randomly occurring nonlinearities. The existence conditions for the reliable controller is formulated in terms of LMI constraints. Finally, the proposed reliable gain-scheduled control scheme is applied on continuously stirred tank reactor model to demonstrate the effectiveness and applicability of the proposed design technique.

引用

页码：3447 / 3454

页数：8

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