Dissipative control of Markovian jump fuzzy systems under nonhomogeneity and asynchronism

被引：19

作者：

Kim, Sung Hyun ^{[1
]}

机构：

[1] Univ Ulsan, Sch Elect Engn, Ulsan 680749, South Korea

来源：

NONLINEAR DYNAMICS | 2019年 / 97卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Asynchronous phenomenon; Nonhomogeneous Markov chain; Multi-parameterized matrix inequality; Relaxation technique; Dissipative fuzzy control; SLIDING MODE CONTROL; TIME-VARYING DELAYS; NONLINEAR-SYSTEMS; STABILIZATION CONDITIONS; NEURAL-NETWORKS; DESIGN;

D O I：

10.1007/s11071-019-05003-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper deals with the problem of asynchronous mode-dependent dissipative control synthesis for a class of nonhomogeneous discrete-time Markovian jump fuzzy systems. By exploring the asynchronous phenomenon between plant and control operation modes characterized by nonhomogeneous Markov chains, a more realistic situation is reflected in the relaxation problem of multi-parameterized matrix inequalities. Further, via the proposed relaxation method, (1) the strict range constraints are imposed on multiple time-varying parameters and (2) the conditional relation between asynchronous Markov chains is definitely exploited to achieve less conservative results. Finally, two examples are given to illustrate the validity of the proposed approach.

引用

页码：629 / 646

页数：18

共 44 条

[1] Stochastic stabilization of a class of nonhomogeneous Markovian jump linear systems [J].

Aberkane, S. .

SYSTEMS & CONTROL LETTERS, 2011, 60 (03) :156-160

[2] Robust H∞ fuzzy control approach for a class of Markovian jump nonlinear systems [J].

Arrifano, Natache S. D. ;

Oliveira, Vilma A. .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (06) :738-754

[3] An Asynchronous Operation Approach to Event-Triggered Control for Fuzzy Markovian Jump Systems With General Switching Policies [J].

Cheng, Jun ;

Park, Ju H. ;

Zhang, Lixian ;

Zhu, Yanzheng .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (01) :6-18

[4] Static output feedback control of nonhomogeneous Markovian jump systems with asynchronous time delays [J].

Cheng, Jun ;

Park, Ju H. ;

Karimi, Hamid Reza ;

Zhao, Xudong .

INFORMATION SCIENCES, 2017, 399 :219-238

[5] Guaranteed cost controller design for discrete-time switching fuzzy systems [J].

Choi, DJ ;

Park, PG .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (01) :110-119

[6] Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form [J].

Ding, BC ;

Sun, HX ;

Yang, P .

AUTOMATICA, 2006, 42 (03) :503-508

[7] A Detector-Based Approach for the H2 Control of Markov Jump Linear Systems With Partial Information [J].

do Valle Costa, Oswaldo Luiz ;

Fragoso, Marcelo D. ;

Todorov, Marcos Garcia .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (05) :1219-1234

[8] Robust strictly dissipative control for discrete singular systems [J].

Dong, X.-Z. .

IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (04) :1060-1067

[9] LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form [J].

Guerra, TM ;

Vermeiren, L .

AUTOMATICA, 2004, 40 (05) :823-829

[10] Fault detection filter design for a class of nonlinear Markovian jumping systems with mode-dependent time-varying delays [J].

He, Shuping .

NONLINEAR DYNAMICS, 2018, 91 (03) :1871-1884

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