Enhanced State Feedback Control of T-S Fuzzy Systems with Time-delays

被引：0
作者：
Lian, Zhi [1 ,2 ,3 ]
He, Yong [1 ,2 ]
Zhang, Chuanke [1 ,2 ]
Shi, Peng [3 ]
Wu, Min [1 ,2 ]
机构：
[1] China Univ Geosci, Sch Automat, Wuhan 430074, Hubei, Peoples R China
[2] Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Hubei, Peoples R China
[3] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
来源：
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2019年
基金：
中国国家自然科学基金;
关键词：
STABILITY ANALYSIS; NEURAL-NETWORKS; VARYING DELAY; STABILIZATION; DISCRETE; INEQUALITY;
D O I：
暂无
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 issue of designing an enhanced controller is exploited for time-delayed nonlinear systems on the basis of T-S fuzzy models. At present, a large number of existing design methods of fuzzy controller independent on membership functions, which are doubtlessly conservative. To overcome the aforementioned shortage, this paper first establishes a novel Lyapunov-Krasovskii functional containing both delay-product-type terms and membership functions. Then, a membership-function-dependent stability criterion is developed by using Wirtinger-based integral inequality and an extended reciprocally convex matrix inequality. Subsequently, an improved state feedback fuzzy controller is designed. Finally, the merits and the availability of the obtained stability criterion and fuzzy controller designed method are verified by two numerical examples.
引用
收藏
页码：3309 / 3315
页数：7
相关论文
共 24 条
[1]   A multiple integral approach to stability of neutral time-delay systems [J].
Fang, Mei ;
Park, Ju H. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 :714-718
[2]   Improved Stability Condition for Takagi-Sugeno Fuzzy Systems With Time-Varying Delay [J].
Feng, Zhiguang ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (03) :661-670
[3]   A delay partitioning approach to delay-dependent stability analysis for neutral type neural networks with discrete and distributed delays [J].
Lakshmanan, S. ;
Park, Ju H. ;
Jung, H. Y. ;
Kwon, O. M. ;
Rakkiyappan, R. .
NEUROCOMPUTING, 2013, 111 :81-89
[4]  
Lian Z., 2019, IEEE T CYBERNETICS, DOI [10.1109/TCY- B.2018.2890425, DOI 10.1109/TCY-B.2018.2890425]
[5]   Robust <inline-formula><tex-math notation="LaTeX">$H_{\infty }$</tex-math></inline-formula> Control for TS Fuzzy Systems With State and Input Time-Varying Delays via Delay-Product-Type Functional Method [J].
Lian, Zhi ;
He, Yong ;
Zhang, Chuan-Ke ;
Shi, Peng ;
Wu, Min .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2019, 27 (10) :1917-1930
[6]   Further robust stability analysis for uncertain Takagi-Sugeno fuzzy systems with time-varying delay via relaxed integral inequality [J].
Lian, Zhi ;
He, Yong ;
Zhang, Chuan-Ke ;
Wu, Min .
INFORMATION SCIENCES, 2017, 409 :139-150
[7]   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
[8]   An improved delay-partitioning approach to stability criteria for generalized neural networks with interval time-varying delays [J].
Manivannan, R. ;
Samidurai, R. ;
Sriraman, R. .
NEURAL COMPUTING & APPLICATIONS, 2017, 28 (11) :3353-3369
[9]   Reliable Control of Discrete-Time Piecewise-Affine Time-Delay Systems via Output Feedback [J].
Qiu, Jianbin ;
Wei, Yanling ;
Karim, Hamid Reza ;
Gao, Huijun .
IEEE TRANSACTIONS ON RELIABILITY, 2018, 67 (01) :79-91
[10]   Wirtinger-based integral inequality: Application to time-delay systems [J].
Seuret, A. ;
Gouaisbaut, F. .
AUTOMATICA, 2013, 49 (09) :2860-2866
123