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
收藏
页码：629 / 646
页数：18
相关论文
共 44 条
[21]   Robust control for markovian jump linear discrete-time systems with unknown nonlinearities [J].
Mahmoud, MS ;
Shi, P .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (04) :538-542
[22]   Fuzzy switched hybrid systems - Modeling and identification [J].
Palm, R ;
Driankov, D .
JOINT CONFERENCE ON THE SCIENCE AND TECHNOLOGY OF INTELLIGENT SYSTEMS, 1998, :130-135
[23]  
Qi W, 2018, IEEE T SYST MAN CYBE
[24]   L∞ Control for Positive Delay Systems With Semi-Markov Process and Application to a Communication Network Model [J].
Qi, Wenhai ;
Zong, Guangdeng ;
Karimi, Hamid Reza .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2019, 66 (03) :2081-2091
[25]   Observer-Based Adaptive SMC for Nonlinear Uncertain Singular Semi-Markov Jump Systems With Applications to DC Motor [J].
Qi, Wenhai ;
Zong, Guangdeng ;
Karim, Hamid Reza .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2018, 65 (09) :2951-2960
[26]   Robust dissipativity and passivity analysis for discrete-time stochastic T-S fuzzy Cohen-Grossberg Markovian jump neural networks with mixed time delays [J].
Ramasamy, S. ;
Nagamani, G. ;
Zhu, Quanxin .
NONLINEAR DYNAMICS, 2016, 85 (04) :2777-2799
[27]   Fuzzy-Model-Based Nonfragile Control for Nonlinear Singularly Perturbed Systems With Semi-Markov Jump Parameters [J].
Shen, Hao ;
Li, Feng ;
Wu, Zheng-Guang ;
Park, Ju H. ;
Sreeram, Victor .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (06) :3428-3439
[28]   Finite-Time Event-Triggered H∞ Control for T-S Fuzzy Markov Jump Systems [J].
Shen, Hao ;
Li, Feng ;
Yan, Huaicheng ;
Karimi, Hamid Reza ;
Lam, Hak-Keung .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (05) :3122-3135
[29]   Slow State Variables Feedback Stabilization for Semi-Markov Jump Systems With Singular Perturbations [J].
Shen, Hao ;
Li, Feng ;
Xu, Shengyuan ;
Sreeram, Victor .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (08) :2709-2714
[30]   Extended Dissipative State Estimation for Markov Jump Neural Networks With Unreliable Links [J].
Shen, Hao ;
Zhu, Yanzheng ;
Zhang, Lixian ;
Park, Ju H. .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (02) :346-358
12345