Guaranteed Cost Control for Nonlinear Singular System with Time Delays Using T-S Fuzzy Model

被引：3
|
作者：
Ren, Junsheng [1 ]
Zhang, Xianku [1 ]
机构：
[1] Dalian Maritime Univ, Lab Marine Simulat & Control, Dalian 116026, Peoples R China
来源：
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 04期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Nonlinear singular system; guaranteed cost control; Takagi-Sugeno (T-S) fuzzy system; linear matrix inequality (LMI); time-delay system; ROBUST STABILITY; TRACKING CONTROL; CRITERIA;
D O I：
10.12785/amis/070448
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Singular system is a natural representation of dynamical systems. Guaranteed cost fuzzy control problem for a class of nonlinear singular system is addressed. The nonlinear singular system contains time-varying and norm-bounded uncertainties simultaneously in the matrices of states, delayed states and control inputs. Nonlinear singular system is formulated in the framework of Takagi-Sugeno (T-S) fuzzy system. Parallel-distributed compensation (PDC) scheme is equipped to design T-S fuzzy controller. Sufficient conditions are stated to guarantee both the stabilization and close-loop system's performance requirements. The conditions are obtained via linear matrix inequalities (LMIs) techniques, which can be solved through convex optimization method efficiently. Finally, numerical example demonstrates the usage of the proposed results.
引用
收藏
页码：1615 / 1622
页数：8
相关论文
共 50 条
  • [31] The Piecewise Fuzzy Output Tracking Control of Uncertain T-S System with Time Delays
    Wang Yan
    Ji Zhicheng
    Liu Zhikang
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 4, 2008, : 321 - 325
  • [32] Delay-Dependent Robust Guaranteed Cost Control for Uncertain Neutral T-S Fuzzy Systems with Distributed Delays
    Li Yongmin
    Chu Yuming
    Xu Shengyuan
    Zhao Zhenjiang
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 2624 - 2629
  • [33] Guaranteed cost control of T-S Nested Fuzzy Jump System with Delay and Packet-drop
    Zhang, Yanxin
    Zhao, Wei
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 3624 - 3629
  • [34] Fuzzy optimal guaranteed cost control for uncertain nonlinear system with time-varying input and multistate delays
    Sun, WD
    Gao, CC
    Ren, QF
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 472 - 479
  • [35] 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
  • [36] Robust tolerant control for a class of nonlinear systems with uncertainties and input time delays based on T-S fuzzy model
    Yin, Zuoyou
    Zhang, Huaguang
    PROCEEDINGS OF 2008 IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL, VOLS 1 AND 2, 2008, : 467 - +
  • [37] Robust H∞ tolerant control for a class of uncertain nonlinear systems with time delays based on fuzzy T-S model
    Yin, Zuoyou
    Zhang, Huaguang
    Wang, Yizhong
    2008 PROCEEDINGS OF INFORMATION TECHNOLOGY AND ENVIRONMENTAL SYSTEM SCIENCES: ITESS 2008, VOL 4, 2008, : 206 - 211
  • [38] Robust H∞ Control of Nonlinear System Based on T-S Fuzzy Model
    Qi, Li
    Yang, Junyou
    2009 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLUMES I & II: COMMUNICATIONS, NETWORKS AND SIGNAL PROCESSING, VOL I/ELECTRONIC DEVICES, CIRUITS AND SYSTEMS, VOL II, 2009, : 881 - 885
  • [39] Robust Guaranteed Cost Control for 2-D Nonlinear Systems Based on General-type T-S Fuzzy Model
    Li, Lizhen
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 4477 - 4482
  • [40] Finite-time Dissipative Control for a Kind of Nonlinear System Based on T-S Fuzzy Model
    Zhao, Enliang
    Zhu, Baoyan
    Sun, Lihua
    Sun, Changchun
    Chang, Chunling
    PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 5888 - 5892
12345