Implementation of the Takagi-Sugeno model-based fuzzy control using an adaptive gain controller

被引:15
作者
Chen, JY
Wong, CC
机构
[1] China Inst Technol, Dept Elect Engn, Taipei, Taiwan
[2] Tamkang Univ, Dept Elect Engn, Taipei Hsien, Taiwan
来源
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 2000年 / 147卷 / 05期
关键词
D O I
10.1049/ip-cta:20000658
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A fuzzy controller of the type of the Takagi-Sugeno model is investigated. The proposed adaptive gain controller for Takagi-Sugeno fuzzy control, which results from the direct adaptive approach, is employed to directly adapt the appended gain parameters in the THEN-part of the Takagi-Sugeno model. Then, the constructed Takagi-Sugeno fuzzy controller can be best approximated to a given optimal control. Generally speaking, a complicated design procedure is necessary to determine the parameters in the Takagi-Sugeno fuzzy controller, but the number of parameters in THEN-part is proportional to the number of rules and states. However, in this study, the THEN-part of each rule with only an injected parameter could be adapted to determine the control action of each rule. The best merits of the proposed method are that the number of regulated parameters depends on the number of rules, and the design algorithm is implemented more easily than existing approaches. In addition, a maximum control is established to guarantee the system robust stability. The derivation shows that the proposed controller is stable in the sense of Lyapunov. Finally, a nonlinear system simulation example is applied to verify the effectiveness and ability of the proposed controller.
引用
收藏
页码:509 / 514
页数:6
相关论文
共 31 条
[21]   An approach to systematic design of the fuzzy control system [J].
Ting, CS ;
Li, THS ;
Kung, FC .
FUZZY SETS AND SYSTEMS, 1996, 77 (02) :151-166
[22]   An approach to fuzzy control of nonlinear systems: Stability and design issues [J].
Wang, HO ;
Tanaka, K ;
Griffin, MF .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1996, 4 (01) :14-23
[23]  
Wang L., 1997, A Course in Fuzzy Systems and Control
[24]   Stable adaptive fuzzy control of nonlinear systems [J].
Wang, Li-Xin .
IEEE Transactions on Fuzzy Systems, 1993, 1 (02) :146-149
[25]  
Wang LX, 1998, IEEE T FUZZY SYST, V6, P137, DOI 10.1109/91.660813
[26]   A SUPERVISORY CONTROLLER FOR FUZZY CONTROL-SYSTEMS THAT GUARANTEES STABILITY [J].
WANG, LX .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (09) :1845-1847
[27]   Rule regulation of indirect adaptive fuzzy controller design [J].
Wong, CC ;
Huang, BC ;
Chen, JY .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1998, 145 (06) :513-518
[28]   Fuzzy control of nonlinear systems using rule adjustment [J].
Wong, CC ;
Chen, JY .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1999, 146 (06) :578-584
[29]   General SISO Takagi-Sugeno fuzzy systems with linear rule consequent are universal approximators [J].
Ying, H .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1998, 6 (04) :582-587
[30]   Constructing nonlinear variable gain controllers via the Takagi-Sugeno fuzzy control [J].
Ying, H .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1998, 6 (02) :226-234