A Fuzzy-PIE Representation of T-S Fuzzy Systems with Delays and Stability Analysis via LPI method

被引：0
|
作者：
Wu, Shuangshuang [1 ]
Sun, Fuchun [1 ]
Peet, Matthew M. [2 ]
Hua, Changchun [3 ]
机构：
[1] Tsinghua Univ, Dept Comp Sci & Technol, Beijing 100085, Peoples R China
[2] Arizona State Univ, Sch Matter Transport & Energy, Tempe, AZ 85231 USA
[3] Yanshan Univ, Elect Engn Dept, Qinhuangdao 066004, Peoples R China
来源：
IFAC PAPERSONLINE | 2022年 / 55卷 / 36期
关键词：
T-S fuzzy systems with delays; stability; fuzzy-PIE; free-weighting PI operator; TIME-DELAY; STABILIZATION; CRITERIA;
D O I：
10.1016/j.ifacol.2022.11.340
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Inspired by the recently proposed Partial Integral Equality(PIE) representation for linear delay systems, this paper proposes a fuzzy-PIE representation for T-S fuzzy systems with delays for the first time. Inspired by the free-weighting matrix technique, this paper introduces the free-weighting Partial Integral (PI) operators. Based on the novel representation and free-weighting PI operators, the stability issue is investigated for the T-S fuzzy systems with delays. The corresponding conditions are given as Linear Partial Inequality (LPI) and can be solved by the MATLAB toolbox PIETOOLS. Compared with the existing results, our method has no need of the bounding technique and a large amount of matrix operation. The numerical examples show the superiority of our method. This paper adds to the expanding field of LPI approach to fuzzy systems with delays.Copyright (C) 2022 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)
引用
收藏
页码：97 / 102
页数：6
相关论文
共 50 条
  • [41] Design of Fuzzy Controller via T-S Fuzzy Approach
    Havagondi, Menka M.
    Katkol, Pranita S.
    Patil, Utkarsh V.
    Patil, A. B.
    2014 IEEE INTERNATIONAL CONFERENCE ON CIRCUIT, POWER AND COMPUTING TECHNOLOGIES (ICCPCT-2014), 2014, : 922 - 926
  • [42] D-Stability for Discrete-Time T-S Fuzzy Descriptor Systems with Multiple Delays
    Li, Fanbiao
    Shi, Peng
    Wu, Ligang
    Karimi, Hamid Reza
    2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 4175 - 4179
  • [43] Stabilization for Delayed Positive Nonlinear Systems via T-S fuzzy Modeling
    Yin, Yunfei
    Zheng, Xiaolong
    Yang, Haijiao
    Zhao, Xudong
    2015 IEEE INTERNATIONAL CONFERENCE ON CYBER TECHNOLOGY IN AUTOMATION, CONTROL, AND INTELLIGENT SYSTEMS (CYBER), 2015, : 1687 - 1692
  • [44] Robust model predictive control of discrete nonlinear systems with time delays and disturbances via T-S fuzzy approach
    Teng, Long
    Wang, Youyi
    Cai, Wenjian
    Li, Hua
    JOURNAL OF PROCESS CONTROL, 2017, 53 : 70 - 79
  • [45] Extended dissipative filter design for T-S fuzzy systems with delays multiple time delays
    Aslam, Muhammad Shamrooz
    Zhang, Baoyong
    Zhang, Yijun
    Zhang, Zhengqiang
    ISA TRANSACTIONS, 2018, 80 : 22 - 34
  • [46] T-S fuzzy control for dithered nonlinear singularly perturbed systems with multiple time delays
    Hsiao, Feng-Hsiag
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (05): : 1828 - 1850
  • [47] Improved Stabilization Conditions for Nonlinear Systems with Input and State Delays via T-S Fuzzy Model
    Che, Chang
    Peng, Jiayao
    Zhao, Tao
    Xiao, Jian
    Zhou, Jie
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [48] Model Reduction of T-S Fuzzy Systems with Time-Varying Delays
    Zhou Hongying
    Su Xiaojie
    Song Yongduan
    Liu Xinxin
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1963 - 1966
  • [49] Stability Analysis of Discrete-Time Switched T-S Fuzzy Systems With All Subsystems Unstable
    Liu, Can
    Mao, Xiang
    Xu, Xiaozeng
    Zhang, Hongbin
    IEEE ACCESS, 2019, 7 : 50412 - 50418
  • [50] Stability condition for T-S fuzzy systems with time delay via novel Lyapunov-Krasovskii functional
    Zhao, Xin
    Liu, Huanxia
    Lin, Chong
    Chen, Bing
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1260 - 1264
12345