吉林大学学报(工学版) ›› 2014, Vol. 44 ›› Issue (2): 554-559.doi: 10.13229/j.cnki.jdxbgxb201402043

• 论文 • 上一篇    下一篇

带有执行器故障的离散时间T-S模糊系统可靠控制

王佳1, 胡侠2, 解相鹏3   

  1. 1. 北京理工大学 机械与车辆学院, 北京 100081;
    2. 上海汽车集团股份有限公司 乘用车分公司, 上海 201804;
    3. 东北大学 信息科学与工程学院, 沈阳 110004
  • 收稿日期:2012-09-19 出版日期:2014-02-01 发布日期:2014-02-01
  • 作者简介:王佳（1981- ），男，高级工程师，博士研究生.研究方向：容错控制，故障诊断. E-mail：wangjia_bit@163.com
  • 基金资助:

    国家自然科学基金项目（60904017，61273027）.

Reliability control for discrete-time T-S fuzzy systems with actuator faults

WANG Jia1, HU Xia2, XIE Xiang-peng3   

  1. 1. School of Mechanical and Vehicular Engineering, Beijing Institute of Technology, Beijing 100081, China;
    2. SAIC Motor Corporation Limited Passenger Vehicle Co., Shanghai 201804, China;
    3. School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2012-09-19 Online:2014-02-01 Published:2014-02-01

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摘要：

针对带有执行器故障的离散时间T-S模糊系统的可靠控制问题提出了一种可靠控制器设计方案。与已有带有执行器故障的离散时间T-S模糊系统的可靠控制器相比，本文设计的可靠控制器采用了不同的控制架构，从而引入更多控制增益矩阵变量，并且在主要结果证明过程中提出了一种附加变量引入技术，上述措施显著降低了已有结果的保守性。此外，所得到的可靠控制器设计条件是以线性矩阵不等式形式给出的，可以很方便地通过标准数值计算软件来进行求解。最后，仿真实验结果验证了本文所提出的可靠控制器的有效性。

关键词: 自动控制技术, 执行器故障, 非线性系统, 可靠控制, 模糊系统

Abstract:

The problem of reliable control of discrete-time T-S fuzzy systems with actuator faults is investigated and the design scheme of a reliable controller is proposed. Compared with the existing reliable controllers, different control structures are adopted in the proposed reliable controller, which can introduce more control gain matrices, and a method for introducing additional variable is also applied in the proof of the main result. Therefore, the conservatism of the existing results could be obviously reduced on account of the underlying measures. Furthermore, the obtained reliable control conditions are given in terms of linear matrix inequalities, which could be easily solved via standard numerical software. Finally, the effectiveness of the proposed approach is illustrated by means of numerical experiments.

Key words: automatic control technology, actuators faults, nonlinear systems, reliable control, fuzzy systems

中图分类号: 

  • TP202

[1] Zhao Q, Jiang J. Reliable state feedback control system design against failures[J].Automatica, 1998, 34(10):1267-1272.



[2] Liao F, Wang J L, Yang G H. Reliable robust flight tracking control: an LMI approach[J].IEEE Transactions on Control Systems Technology, 2002, 10(1):76-89.



[3] Yang G H, Wang J L, Soh Y C. H∞ controller design for linear systems[J].Automatica, 2001, 37(5):717-725.



[4] Wu H N. Reliable LQ fuzzy control for nonlinear discrete-time systems via LMIs[J]. IEEE Transactions on Systems, Man and Cybernetics, 2004, 34(2):1270-1275.



[5] Wu H N. Reliable LQ fuzzy control for nonlinear continuous-time systems with actuators faults[J]. IEEE Transactions on Systems, Man, and Cybernetics, 2004, 34(4):1743-1752.



[6] Wu H N, Zhang H Y. Reliable H∞ fuzzy control for a class of discrete-time nonlinear systems using multiple fuzzy Lyapunov functions[J]. IEEE Transactions on Circuits and Systems-Ⅱ: Express Briefs, 2007, 54(4):357-361.



[7] Wang H O, Tanaka K, Griffin M F. An approach to fuzzy control of nonlinear systems: stability and design issues[J].IEEE Transactions on Fuzzy Systems, 1996, 4(1):14-23.



[8] Kim E, Lee H. New approaches to relaxed quadratic stability condition of fuzzy control systems[J].IEEE Transactions on Fuzzy Systems, 2000, 8(5):523-534.



[9] Liu X D, Zhang Q L. New approaches to controller designs based on fuzzy observers for T-S fuzzy systems via LMI[J]. Automatica, 2003, 39(9):1571-1582.



[10] Montagner V F, Oliveira R C L F, Peres P L D. Convergent LMI relaxations for quadratic stabilizability and H∞ control of Tanaki-Sugeno fuzzy systems[J]. IEEE Transactions on Fuzzy Systems, 2009, 17(4):863-873.



[11] Guerra T M, Vermeiren L. LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form[J]. Automatica, 2004, 40(5):823-829.



[12] Kruzewski A, Wang R, Guerra T M. Nonquadratic stabilization conditions for a class of uncertain nonlinear discrete time TS fuzzy models: a new approach[J].IEEE Transactions on Automatic Control, 2008, 53(2):606-611.



[13] Ding B C. Poly-quadratic stability of discrete-time nonlinear systems in Takagi-Sugeno form[J].Asian Journal of Control, 2009, 11(6):610-619.



[14] Lee D H, Park J B, Joo Y H. Improvement on nonquadratic stabilization of discrete-time Takagi-Sugeno fuzzy systems: multiple parameterization approach[J]. IEEE Transactions on Fuzzy Systems, 2010, 18(2):425-429.



[15] Mozelli L A, Palhares R M, Avellar G S C. A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems[J]. Information Sciences, 2009, 179(10):1149-1162.



[16] Zhang H G, Xie X P. Relaxed stability conditions for continuous-time T-S fuzzy-control systems via augmented multi-indexed matrix approach[J]. IEEE Transactions on Fuzzy Systems, 2011, 19(3):478-492.
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