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Direct Adaptive Fuzzy Controller for Nonaffine Nonlinear System  

박장현 (목포대학교 신소재전기공학부)
김성환 (목포대학교 신소재전기공학)
박영환 (충주산업대 정보제어공학과)
Publication Information
The Transactions of the Korean Institute of Electrical Engineers D / v.53, no.5, 2004 , pp. 315-322 More about this Journal
Abstract
A direct adaptive state-feedback controller for highly nonlinear systems is proposed. This paper considers uncertain or ill-defined nonaffine nonlinear systems and employs a static fuzzy logic system (FLS). The employed FLS estimates. and adaptively cancels an unknown plant nonlinearity using its proved universal approximation property. A control law and adaptive laws for unknown fuzzy parameters and bounding constant are established so that the whole closed-loop system is stable in the sense of Lyapunov. The tracking error is guaranteed to be uniformly asymptotically stable rather than uniformly ultimately bounded with the aid of an additional robustifying control term. No a priori knowledge of an upper bound on an lumped uncertainty is required.
Keywords
fuzzy system; nonaffine nonlinear system; robust adaptive control;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 C. -S. Chen, W.-L. Chen, 'Robust model reference adaptive control of nonlinear systems using fuzzy systems,' Int. J. Systems Science, vol. 27, no. 12, pp. 1435-1442, 1996.   DOI   ScienceOn
2 S .S. Ge, C. C. Hang, and T. Zhang, 'Adaptive neural Network control of nonlinear systems by state and output feedback,' IEEE Trans. Systems, Man and Cybernetics-Part B:Cybernetics, vol. 29, no. 6, pp. 818-828. 1999   DOI   ScienceOn
3 H.K.Khalil, Nonlineat Systems, Macmillan Publishing Company, 1992.
4 K. Fischle, D. Schroder, 'Improved Stable Adaptive Fuzzy Control Method,' IEEE Trans. Fuzzy Sys. vol. 7, no. 1, pp. 27-49, 1999   DOI   ScienceOn
5 P. A. Ioannou and J. Sun, Robust Adaptive Control, Prentice-Hall, Inc., 1996.
6 J.-H.Park, G.T. Park, 'Robust and Nonlinear Controller Nonaffine Nonlinear Systems with Dynamic Rule Activation,' Robust and Nonlinear Control, vol. 13, issue 2, pp. 117-139, 2003   DOI   ScienceOn
7 L. -X. Wang, 'Stable adaptive Fuzzy Controllers with applications to inverted tracking,' IEEE Trans. Fuzzy Systems, vol. 26, no. 5, pp. 677-691, 1996.   DOI
8 B. S. Chen, C. H. Lee, Y. C. Chang, '$h^{\infty}$ tracking desing of uncertaing nonlinear siso systems: adaptive fuzzy approach,' IEEE Trans. Fuzzy Systems, vol. 4, no. 3, pp. 363-384, 1998.
9 박장현, 김성환, '불확실한 비선현 계통에 대한 SPR조건이 필요 없는 적응 퍼지 관측기,' 전기전자학회논문지, vol. 7, no. 2, pp. 30-39, 2003   과학기술학회마을
10 박장현, 박귀태, '유계상수 추정과 동적인 퍼지 규칙삽입을 이용한 비선형 계통에 대한 강인한 적응 퍼지 제어기 설계,' 대한전기학회 논문지, vol. 50D, no. 1, pp. 14-21, 2001   과학기술학회마을
11 A. J.Calise, N.Hovakimyan, M. Idan, 'Adaptive output feedback control of nonlinear systems using neural networks,' Automatica, vol. 37, no. 1, pp. 1201-1211, 2001   DOI   ScienceOn
12 J. -H.Park, S.-H. Kim, 'Direct Adaptive Output-Feedback Fuzzy Contriller for Noonaffine Nonlinear System,' IEE Proceedings - Control Theory and Applications, vol. 151, no. 1, pp. 65-72, 2004   DOI   ScienceOn
13 박장현, 박귀태, '불확실한 비션형 계통에 대한 동적인 구조를 가지는 강인한 적응 신경망 제어기 설계,' 제어·자동화·시스템 공학회 논문지, vol. 7, no. 8, pp. 647-655, 2001   과학기술학회마을
14 J.-H.Park, G.-T.Park, 'Adaptive Fuzzy Observer with Minimal Dynamic Order for Uncertain Nonlinear Systems,' IEE Proceedings - Control Theory and Applications, vol. 150, no.2, pp. 189-197. 2003.   DOI   ScienceOn
15 J. T. Spooner, K. M. Passino, 'Stable Adaptive Control Using Fuzzy Systems and Neural Networks,' IEEE Trans. Fuzzy Systems, vol. 4, no. 3, pp. 339-359, 1996.   DOI   ScienceOn
16 M.U. Polycarpou and M. J. Mears, 'Stable adaptive tracking of uncertain systems using nonlinearly parameterized on-line approximators,' Int. J. Control, vol.70, no. 3, pp. 363-384, 1998.   DOI
17 Y. W. Ham, 'Adaptive fuzzy sliding mode control of nonliear system,' IEEE Trans. Fuzzy Systems, vol. 6, no. 2, pp. 315-312, 1998   DOI   ScienceOn
18 H. Lee, M.Tomizuka, 'Robust adaptive control using a universal approximator for siso nonlineat systems,' IEEE Trans. Fuzzy Systems, vol. 8, no. 1, pp. 95-196. 2000   DOI   ScienceOn
19 J.-H. Park, S.-J. Seo and G.T. Park, 'Robust adaptive fuzzy controller for nonlinear system with unknown nonlinearities,' Fuzzy Sets and Systems, vol.133, issue 1, pp. 19-36, 2003.   DOI   ScienceOn
20 L. X. Wang and J.M. Mendel, 'Fuzzy basis functions universal approximation, and orthogonal least-squares learning,' IEEE Trans. Neural Network, vol.3, no.5, pp.807-814, 1992   DOI   ScienceOn
21 L.-X. Wang, 'Stable Adaptive Fuzzy Control of Nonlinear Systems,' IEEE Trans. Fuzzy Systems, vol.1, no.2, pp. 146-155, 1993   DOI   ScienceOn
22 J.L.Castro, 'Fuzzy logic controllers are nuiversal approximators,' IEEE Trans. System, Man, and Cybernetics,' vol.25, no. 4, pp. 629-635, 1995   DOI   ScienceOn