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http://dx.doi.org/10.5391/JKIIS.2005.15.2.185

Fuzzy Output-Tracking Control for Uncertain Nonlinear Systems  

Lee, Ho-Jae (연세대학교 전기전자공학과)
Joom, Young-Hoo (군산대학교 전자정보공학부)
Park, Jin-Ba (연세대학교 전기전자공학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.15, no.2, 2005 , pp. 185-190 More about this Journal
Abstract
A systematic output tracking control design technique for robust control of Takagi-Sugeno (T-S) fuzzy systems with norm bounded uncertainties is developed. The uncertain T-S fuzzy system is first represented as a set of uncertain local linear systems. The tracking problem is then converted into the stabilization problem for a set of uncertain local linear systems thereby leading to a more feasible controller design procedure. A sufficient condition for robust asymptotic output tracking is derived in terms of a set of linear matrix inequalities. A stability condition on the traversing time instances is also established. The output tracking control simulation for a flexible-joint robot-arm model is demonstrated, to convincingly show the effectiveness of the proposed system modeling and controller design.
Keywords
Takagi-Sugeno 퍼지 시스템;출력 추종 제어;스위칭 제어;일반화된 리아프노프 함수;로렌츠시스템;
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1 H. A. Malki, D. Misir, D. Feigespan, and G. Chen, 'Fuzzy PID control of a flexible-joint robot arm with uncertainties from time-varing loads,' IEEE Trans. Contr. Syst. Techn., vol. 5, no. 3, pp. 371-378, 1997   DOI   ScienceOn
2 H. J. Lee, J. B. Park, and G. Chen, 'Robust fuzzy control of nonlinear systems with parametric uncertainties,' IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 369-379, 2001   DOI   ScienceOn
3 W. Chang, J. B. Park, Y. H. Joo, and G. Chen, 'Design of robust fuzzy-model-based controller with sliding mode control for SISO nonlinear systems,' Fuzzy Sets Syst., vol. 125, no. 1, pp. 1-22, 2002   DOI   ScienceOn
4 W. Chang, J. B. Park,, and Y. H. Joo, 'GA-based intelligent digital redesign of fuzzy-model-based controllers,' IEEE Trans. Fuzzy Systems, vol. 11, no. 1, pp. 35-44, 2003   DOI   ScienceOn
5 K. Kiriakidis, 'Robust stabilization of the Takagi-Sugeno fuzzy model via bilinear matrix inequalities,' IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 269-277, 2001   DOI   ScienceOn
6 H. J. Lee, J. B. Park, and Y. H. Joo, 'Robust control for uncertain T-S fuzzy systems with time-varying input delay,' Trans. ASME, J. Dynamic Syst., Meas., and Contr., to be published, 2004
7 H. Roubos and M. Setnes, 'Compact and transparent fuzzy models and classifiers through iterative complexity reduction,' IEEE Trans. Fuzzy Syst., vol. 9, no. 4, pp. 516-525, 2001   DOI   ScienceOn
8 S. H. Zak, 'Stabilizing fuzzy system models using linear controllers,' IEEE Trans. Fuzzy Syst., vol. 7, no. 2, pp. 236-240, 1999   DOI   ScienceOn
9 O. Begovich, E. N. Sanchez, and M. Maldonado, 'Takagi-Sugeno fuzzy scheme for real-time trajectory tracking of an underactuated robot,' IEEE Trans. Contr. Syst. Technol., vol. 10, no. 1, pp. 14-20, Jan., 2002   DOI   ScienceOn
10 V. S. Chellaboina, A. Leonessa, and W. M. Haddad, 'Generalized Lyapunov and invariant set theorems for nonlinear dynamical systems,' Syst. Contr. Lett., vol. 38, pp. 289-295, 1999   DOI   ScienceOn
11 O. Begovich, E. N. Sanchez, and M. Maldonado, 'Takagi-Sugeno fuzzy scheme for real-time trajectory tracking of an underactuated robot,' IEEE Trans. Contr. Syst. Technol., vol. 10, no. 1, pp. 14-20, Jan., 2002   DOI   ScienceOn
12 W. Chang, J. B. Park, Y. H. Joo, and G. Chen, 'Design of sampled-data fuzzy-model-based control systems by using intelligent digital redesign,' IEEE Trans. Circuits Syst. I, vol. 49, no. 4, pp. 509-517, 2002   DOI   ScienceOn
13 I. R. Petersen, 'A stabilization algorithm for a class of uncertain linear systems,' Syst. Contr. Lett., vol. 8, pp. 351-357, 1987   DOI   ScienceOn
14 B. A. Francis, 'The linear multivariable regulator problem,' SIAM J. Control Optim., vol. 15, pp. 486-505, 1977   DOI
15 J. Ma and G. Feng, 'An approach to control of fuzzy dynamic systems,' Fuzzy Sets Syst., vol. 137, no. 3, pp. 367-386, 2003   DOI   ScienceOn
16 W. Chang, J. B. Park, Y. H. Joo, and G. Chen, 'Static output feedback fuzzy controller for Chen's chaotic attractor with uncertainties,' Inform. Sci., vol. 151, pp. 227-244, 2003   DOI   ScienceOn
17 K. Tanaka, T. Ikeda, and H. O. Wang, 'Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs,' IEEE Trans. Fuzzy Syst., vol. 6, no. 2, pp. 250-265, 1998   DOI   ScienceOn
18 H. J. Lee, J. B. Park, and Y. H. Joo, 'Comments on 'Output tracking and regulation of nonlinear system based on Takagi-Sugeno fuzzy model',' IEEE Trans. Syst., Man, Cybern. B, vol. 33, no. 3. pp. 521-523, 2003   DOI   ScienceOn
19 M. Feng and C. J. Harris, 'Piecewise Lyapunov stability conditions of fuzzy systems,' IEEE Trans. Syst., Man, Cybern. B, vol. 31, no. 2, pp. 259-262, 2001   DOI   ScienceOn
20 T. H. Hopp and W. E. Schimitendorf, 'Design of a linear controller for robust tracking and model following,' Trans. ASME, J. Dynamic Syst., Meas., and Contr., vol. 112, pp. 552-558, 1990   DOI
21 X. J. Ma and Z. Q. Sun, 'Output tracking and regulation of nonlinear system based on Takagi-Sugeno fuzzy model,' IEEE Trans. Syst., Man, Cybern. B, vol. 30, no. 1, pp. 47-59, Feb., 2000   DOI   ScienceOn
22 Y. H. Joo, L. S. Shieh, and G. Chen, 'Hybrid state-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems,' IEEE Trans. Fuzzy Syst., vol. 7, no. 4, pp. 394-408, 1999   DOI   ScienceOn
23 H. J. Lee, H. Kim, Y. H. Joo, W. Chang, and J. B. Park, 'A new intelligent digital redesign: global approach,' IEEE Trans. Fuzzy Syst., vol. 12, no. 2, pp. 274-284, 2004   DOI   ScienceOn