Reliable H2 Control for Discrete-Time T-S Fuzzy Bilinear Systems

被引：0
|
作者：
Li Jiangrong [1 ]
Li Junmin [2 ]
Li Yu [1 ]
机构：
[1] Yanan Univ, Coll Math & Comp Sci, Yanan 716000, Peoples R China
[2] Xidian Univ, Sch Sci, Xian 710071, Peoples R China
来源：
2013 32ND CHINESE CONTROL CONFERENCE (CCC) | 2013年
基金：
中国国家自然科学基金;
关键词：
T-s fuzzy system; stochastic bilinear system; H-2; control; reliable control; fuzzy Lyapunov function; H-INFINITY CONTROL; STOCHASTIC-SYSTEMS; STABILITY ANALYSIS; MODEL;
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：
This paper is concerned with the problem of reliable H-2 control for discrete-time T-S fuzzy bilinear systems with actuator faults. A discrete-time homogeneous Markov chain is used to represent the stochastic behavior of actuator faults. Based on a stochastic fuzzy Lyapunov function, two improved stability conditions are proposed to ensure that the resultant closed-loop system is exponentially stable in the mean-square sense with an H-2 performance index. It is shown the controller can be obtained by solving a set of nonlinear minimization problem involving linear matrix inequalities(LMIs) constraints. An iterative algorithm making use of sequential linear programming matrix method (SLPMM) is proposed to solve the nonlinear minimization problem. Finally, an illustrative example is provided to demonstrate the effectiveness of the results proposed in this paper.
引用
收藏
页码：3487 / 3491
页数：5
相关论文
共 50 条
  • [41] Containment Control for Discrete-time Multi-agent Systems with T-S Fuzzy Model
    Xu, Zhenhua
    Zhang, Dan
    2017 EIGHTH INTERNATIONAL CONFERENCE ON INTELLIGENT CONTROL AND INFORMATION PROCESSING (ICICIP), 2017, : 173 - 178
  • [42] Discrete-time sliding mode control of nonlinear systems based on T-S fuzzy model
    School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
    不详
    Xitong Fangzhen Xuebao, 2007, 3 (605-611):
  • [43] Stability analysis of discrete-time T-S fuzzy control systems with uncertain grades of membership
    Wang, Yunxiang
    Dai, Wenzhan
    ISDA 2006: SIXTH INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS DESIGN AND APPLICATIONS, VOL 1, 2006, : 310 - 313
  • [44] LMI approach for H∞ output feedback control of discrete-time T-S fuzzy systems via switched control scheme
    Dong, Jiuxiang
    Yang, Guang-Hong
    PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 131 - 136
  • [45] Control Synthesis for Discrete-Time T-S Fuzzy Systems Based on Membership Function-Dependent H∞ Performance
    Dong, Jiuxiang
    Hou, Qinghua
    Ren, Mingming
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2020, 28 (12) : 3360 - 3366
  • [46] Delay-dependent generalized H2 fuzzy static-output-feedback control for discrete T-S fuzzy bilinear stochastic systems with mixed delays
    Li, Jiangrong
    Li, Junmin
    Xia, Zhile
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 25 (04) : 863 - 880
  • [47] Regularization and Stabilization for Rectangular T-S Fuzzy Discrete-Time Systems With Time Delay
    Chen, Jian
    Lin, Chong
    Chen, Bing
    Wang, Qing-Guo
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2019, 49 (04): : 833 - 842
  • [48] Distributed Filtering for Discrete-Time T-S Fuzzy Systems With Incomplete Measurements
    Zhang, Dan
    Sing Kiong Nguang
    Srinivasan, Dipti
    Yu, Li
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (03) : 1459 - 1471
  • [49] Relaxed Stabilization of controlled positive discrete-time T-S fuzzy systems
    Benzaouia, Abdellah
    El Hajjaji, Ahmed
    Hmamed, Abdelaziz
    18TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, 2010, : 1407 - 1412
  • [50] Reliable H∞ Control for T-S fuzzy systems with time varying delay and actuator faults
    Gassara, Hamdi
    El Hajjaji, Ahmed
    Chaabane, Maher
    18TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, 2010, : 1377 - 1382
12345