Exponential stability analysis and l1 synthesis of positive T-S fuzzy systems with time-varying delays

被引：46
作者：
Meng, Min [1 ]
Lam, James [2 ]
Feng, Jun-e [1 ]
Zhao, Xudong [3 ]
Chen, Xiaoming [4 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China
[3] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Liaoning, Peoples R China
[4] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2017年 / 24卷
关键词：
alpha-exponential stability; l(1) controller synthesis; Positive systems; Takagi-Sugeno fuzzy systems; OUTPUT-FEEDBACK STABILIZATION; LINEAR-SYSTEMS; PERFORMANCE; DESIGN; RADII;
D O I：
10.1016/j.nahs.2017.01.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The alpha-exponential stability analysis and l(1) controller synthesis of positive Takagi-Sugeno fuzzy discrete-time systems with time-varying delays are discussed in this paper. A sufficient condition of alpha-exponential stability for autonomous positive fuzzy systems is first established by constructing a new Lyapunov-Krasovskii functional, which depends on a given scalar 0 < alpha < 1 and the bound of time-varying delays. Then, a sufficient condition for controlled systems with l(1) gain constraint is also presented while imposing a-exponential stability, upon which, a constrained l(1) controller is designed for both single-input and multi-input cases. Finally, an example is given to show the feasibility of the theoretical results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：186 / 197
页数：12
相关论文
共 50 条
  • [21] Stochastic stability and L1-gain analysis for positive nonlinear semi-Markov jump systems with time-varying delay via T-S fuzzy model approach
    Qi, Wenhai
    Park, Ju H.
    Cheng, Jun
    Chen, Xiaoming
    FUZZY SETS AND SYSTEMS, 2019, 371 : 110 - 122
  • [22] Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays
    Lei, Ting
    Song, Qiankun
    Zhao, Zhenjiang
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [23] New Relaxed Static Output Feedback Stabilization of T-S Fuzzy Systems with Time-Varying Delays
    Qi, Shunan
    Zhou, Kun
    Xu, Suan
    Gao, Yanfeng
    PROCESSES, 2023, 11 (01)
  • [24] On the a-exponential stability of linear positive singular systems with multiple time-varying delays
    Zamani, Mahmoud
    Zamani, Iman
    Shafiee, Masoud
    Izadbakhsh, Alireza
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (04):
  • [25] Resilient guaranteed cost control for uncertain T-S fuzzy systems with time-varying delays and Markov jump parameters
    He, Miao
    Li, Junmin
    ISA TRANSACTIONS, 2019, 88 : 12 - 22
  • [26] Sampled-data exponential synchronization of complex dynamical networks with time-varying delays and T-S fuzzy nodes
    Huang, Xiaojie
    Cao, Xuerui
    Ma, Yuechao
    COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (02)
  • [27] Quadratically convex combination approach to stability of T-S fuzzy systems with time-varying delay
    Yang, Feisheng
    Guan, Sho-Aping
    Wang, Dianhui
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (07): : 3752 - 3765
  • [28] On l∞ and L∞ gains for positive systems with bounded time-varying delays
    Shen, Jun
    Lam, James
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (11) : 1953 - 1960
  • [29] An improved result on the stability of uncertain T-S fuzzy systems with interval time-varying delay
    Peng, Chen
    Fei, Min-Rui
    FUZZY SETS AND SYSTEMS, 2013, 212 : 97 - 109
  • [30] New Stability Conditions for Uncertain T-S Fuzzy Systems with Interval Time-Varying Delay
    An, Jiyao
    Li, Tao
    Wen, Guilin
    Li, Renfa
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2012, 10 (03) : 490 - 497
12345