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

• paper • Previous Articles     Next Articles

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

RICH HTML

0   

PDF (PC)

511

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

CLC Number: 

  • 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.
[1] GU Wan-li,WANG Ping,HU Yun-feng,CAI Shuo,CHEN Hong. Nonlinear controller design of wheeled mobile robot with H∞ performance [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1811-1819.
[2] LI Zhan-dong,TAO Jian-guo,LUO Yang,SUN Hao,DING Liang,DENG Zong-quan. Design of thrust attachment underwater robot system in nuclear power station pool [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1820-1826.
[3] WANG De-jun, WEI Wei-li, BAO Ya-xin. Actuator fault diagnosis of ESC system considering crosswind interference [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1548-1555.
[4] YAN Dong-mei, ZHONG Hui, REN Li-li, WANG Ruo-lin, LI Hong-mei. Stability analysis of linear systems with interval time-varying delay [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1556-1562.
[5] TIAN Yan-tao, ZHANG Yu, WANG Xiao-yu, CHEN Hua. Estimation of side-slip angle of electric vehicle based on square-root unscented Kalman filter algorithm [J]. 吉林大学学报(工学版), 2018, 48(3): 845-852.
[6] ZHANG Shi-tao, ZHANG Bao, LI Xian-tao, WANG Zheng-xi, TIAN Da-peng. Enhancing performance of FSM based on zero phase error tracking control [J]. 吉林大学学报(工学版), 2018, 48(3): 853-858.
[7] WANG Lin, WANG Hong-guang, SONG Yi-feng, PAN Xin-an, ZHANG Hong-zhi. Behavior planning of a suspension insulator cleaning robot for power transmission lines [J]. 吉林大学学报(工学版), 2018, 48(2): 518-525.
[8] HU Yun-feng, WANG Chang-yong, YU Shu-you, SUN Peng-yuan, CHEN Hong. Structure parameters optimization of common rail system for gasoline direct injection engine [J]. 吉林大学学报(工学版), 2018, 48(1): 236-244.
[9] ZHU Feng, ZHANG Bao, LI Xian-tao, WANG Zheng-xi, ZHANG Shi-tao. Gyro signal processing based on strong tracking Kalman filter [J]. 吉林大学学报(工学版), 2017, 47(6): 1868-1875.
[10] JIN Chao-qiong, ZHANG Bao, LI Xian-tao, SHEN Shuai, ZHU Feng. Friction compensation strategy of photoelectric stabilized platform based on disturbance observer [J]. 吉林大学学报(工学版), 2017, 47(6): 1876-1885.
[11] FENG Jian-xin. Recursive robust filtering for uncertain systems with delayed measurements [J]. 吉林大学学报(工学版), 2017, 47(5): 1561-1567.
[12] XU Jin-kai, WANG Yu-tian, ZHANG Shi-zhong. Dynamic characteristics of a heavy duty parallel mechanism with actuation redundancy [J]. 吉林大学学报(工学版), 2017, 47(4): 1138-1143.
[13] HU Yun-feng, GU Wan-li, LIANG Yu, DU Le, YU Shu-you, CHEN Hong. Start-stop control of hybrid vehicle based on nonlinear method [J]. 吉林大学学报(工学版), 2017, 47(4): 1207-1216.
[14] SHEN Shuai, ZHANG Bao, LI Xian-tao, ZHU Feng, JIN Chao-qiong. Acceleration feedback control based on tracking differentiator [J]. 吉林大学学报(工学版), 2017, 47(4): 1217-1224.
[15] SHAO Ke-yong, CHEN Feng, WANG Ting-ting, WANG Ji-chi, ZHOU Li-peng. Full state based adaptive control of fractional order chaotic system without equilibrium point [J]. 吉林大学学报(工学版), 2017, 47(4): 1225-1230.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd