Resilient guaranteed cost control for uncertain T-S fuzzy systems with time-varying delays and Markov jump parameters

被引:20
作者
He, Miao [1 ]
Li, Junmin [1 ]
机构
[1] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Markov jump systems; Takagi-Sugeno fuzzy systems; Resilient guaranteed cost control; Almost surely asymptotically stable; ROBUST STABILIZATION; NONLINEAR-SYSTEMS; STABILITY; STATE; CONTROLLABILITY; DESIGN;
D O I
10.1016/j.isatra.2018.11.034
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 aims to investigate the problem of resilient guaranteed cost control for uncertain Takagi-Sugeno fuzzy systems with Markov jump parameters and time-varying delay. A resilient mode-dependent fuzzy controller is designed and a weak sufficient condition is developed to ensure that the resulting closed-loop system is robust almost surely asymptotically stable with guaranteed cost index not exceeding the specified upper bound. Subsequently, the controller gain and upper bound of the guaranteed cost index can be obtained by solving a set of linear matrix inequalities. Finally, numerical and practical examples of the single-link robot arm system are provided to demonstrate the performance of the proposed approach. (C) 2018 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:12 / 22
页数:11
相关论文
共 47 条
[11]   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
[12]   Nonfragile Control With Guaranteed Cost of T-S Fuzzy Singular Systems Based on Parallel Distributed Compensation [J].
Han, Chunsong ;
Wu, Ligang ;
Lam, H. K. ;
Zeng, Qingshuang .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (05) :1183-1196
[13]   Fault Tolerant Controller Design for T-S Fuzzy Systems With Time-Varying Delay and Actuator Faults: A K-Step Fault-Estimation Approach [J].
Huang, Sheng-Juan ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (06) :1526-1540
[14]   CONTROLLABILITY, STABILIZABILITY, AND CONTINUOUS-TIME MARKOVIAN JUMP LINEAR QUADRATIC CONTROL [J].
JI, YD ;
CHIZECK, HJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (07) :777-788
[15]  
Li J, 2012, J ASIA TEFL, V9, P1, DOI 10.1186/1476-9255-9-33
[16]   Delay-dependent LMI conditions for stability and stabilization of T-S fuzzy systems with bounded time-delay [J].
Lin, C ;
Wang, QG ;
Lee, TH .
FUZZY SETS AND SYSTEMS, 2006, 157 (09) :1229-1247
[17]   New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay [J].
Liu, Fang ;
Wu, Min ;
He, Yong ;
Yokoyama, Ryuichi .
FUZZY SETS AND SYSTEMS, 2010, 161 (15) :2033-2042
[18]   Dissipativity-Based Resilient Filtering of Periodic Markovian Jump Neural Networks With Quantized Measurements [J].
Lu, Renquan ;
Tao, Jie ;
Shi, Peng ;
Su, Hongye ;
Wu, Zheng-Guang ;
Xu, Yong .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (05) :1888-1899
[19]   Fuzzy-Model-Based Quantized Guaranteed Cost Control of Nonlinear Networked Systems [J].
Lu, Renquan ;
Cheng, Hongliu ;
Bai, Jianjun .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (03) :567-575
[20]  
Mao X., 2006, STOCHASTIC DIFFERENT, DOI [10.1142/p473, DOI 10.1142/P473]