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http://dx.doi.org/10.5391/JKIIS.2004.14.7.902

Local Separation Principle of Fuzzy Observer-Controller  

Lee, Ho-Jae (연세대학교 전기전자공학과)
Park, Jin-Bae (연세대학교 전기전자공학과)
Joo, Young-Hoon (군산대학교 전자정보공학부)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.14, no.7, 2004 , pp. 902-906 More about this Journal
Abstract
A separation principle of the Takagj-Sugeno (T-S) fuzzy-model-based observer-control is investigated. When the premise variables are able to be measured or directly computed from the outputs of the T-S fuzzy system and the fuzzy inference rules for the plant, control, and observer share the premise parts, the T-S fuzzy-model-based observer and the T-S fuzzy-model-based control can be separately designed such that the global stabilizability is guaranteed by the fuzzy observer-based output-feedback control. In this case, the global separation principle is well established. On the other hand, when the premise variables are unmeasurable or cannot be computed from the outputs, they should also be estimated. We examine the separation principle of this case. If the decay rates of the T-S fuzzy-model-based control and observer are sufficiently fast, the global separation is assured. Otherwise we show that the separation principle holds locally.
Keywords
Takagi-Sugeno (T-S) fuzzy system; observer; observer-based output-feedback separation principle; stability;
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1 H. J. Lee, J. B. Park, and G. Chen, 'Robust fuzzy control of nonlinear systems with parametricuncertainties,' IEEE Trans. Fuzzy Syst., vol. 9, no.2, pp. 369-379, 2001   DOI   ScienceOn
2 K. Tanaka, T. Ikeda, and H. 0. Wang, 'Fuzzy regulator and fuzzy observer: relaxed stability conditions and LMI-based designs,' IEEE Trans. Fuzzy Syst, vol. 6, no. 2, pp. 250-265, 1998   DOI   ScienceOn
3 H. K. Khalil, Nonlinear Systems, NJ: PrenticeHall, 1996
4 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
5 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
6 J. Ma and G. Feng, 'An approach to H$\infty$ control of fuzzy dynamic systems,' Fuzzy Sets Syst., vol. 137, no. 3, PP. 367-386, 2003   DOI   ScienceOn
7 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
8 K. Kihakidis, 'Fuzzy model-based control of complex plants,' IEEE Trans. Fuzzy Syst, vol. 6,no. 4, 1998
9 J. Yoneyama, M. Nishikawa, H. Katayama, A. Ichikawa, 'Design of output feedback controllers for Takagi-Sugeno fuzzy systems,' Fuzzy Sets Syst., vol. 121 pp. 127-148, 2001   DOI   ScienceOn
10 W. Chang, J. B. Park, Y. H. Joo, and G. Chen, "'esign 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
11 X. J. Ma and Z. Q. Sun, 'Analysis and design of fuzzy controller and fuzzy observer,' IEEE Trans. Fuzzy Syst, vol. 6, no. 1, pp. 41-51, 1998   DOI   ScienceOn
12 K. Tanaka and H. 0. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, NY: Wiley, 2001
13 A. E. Golubev, A. P. Krshchenko, and S. B. Tkachev, 'A separation principle for affine systems,' J. Differ. Equ., vol. 37, no. 11, pp. 1468-1475, 2001   DOI
14 Y. H. Joo, L. S. Shieh, and G. Chen, 'Hybridstate-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems,' IEEE Trans. Fuzzy Syst., vol. 7, no. 4, Aug., 1999
15 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. 1-10, 2003   DOI   ScienceOn