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http://dx.doi.org/10.5391/JKIIS.2005.15.3.324

Robust H∞ Fuzzy Control for Discrete-Time Nonlinear Systems with Time-Delay  

Kim Taek Ryong (연세대학교 전기전자공학과)
Park Jin Bae (연세대학교 전기전자공학과)
Joo Young Hoon (군산대학교 전자정보공학부)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.15, no.3, 2005 , pp. 324-329 More about this Journal
Abstract
In this paper, a robust $H\infty$ stabilization problem to a uncertain discrete-time nonlinear systems with time-delay via fuzzy static output feedback is investigated. The Takagj-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear system with time-delayed state. Then, the parallel distributed compensation technique is used for designing of the robust fuzzy controller. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H\infty$ controllers are given in terms of linear matrix inequalities via similarity transform and congruence transform technique. We have shown the effectiveness and feasibility of the proposed method through the simulation.
Keywords
time-delay; uncertain; fuzzy static output feedback; T-S fuzzy system; linear matrix inequality;
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1 Y. Y. Cao and P. M. Frank, "Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach," IEEE Trans. Fuzzy Syst., vol. 8, no. 2, pp. 200-211, 2000   DOI   ScienceOn
2 K. R. Lee, J. H. Kim, E. T. Jeung, and H. B. Park, "Output feedback robust $H{\infty}$ control of uncertain fuzzy dynamic systems with time-varying delay," IEEE Trans. Fuzzy Syst., vol. 8, no. 6, pp. 657-664, 2000.   DOI   ScienceOn
3 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
4 H. D. Tuan, P. Apkarain, T. Narikiyo, and Y. Yamamoto, "Parameterized linear matrix inequality techniques in fuzzy control system design," IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 324-332, 2001.   DOI   ScienceOn
5 김택룡, 주영훈, 박진배, "시변 지연이 있는 비선형 시스템에 대한 $H_{\infty}$ 퍼지 강인제어기 설계," 2004년 정보 및 제어 학술대회,. 11월, pp. 379-381, 2004.
6 S. Xu and J. Lam, "Robust $H_{\infty}$ Control for Uncertain Discrete-Time-Delay Fuzzy Systems Via Output Feedback Controllers," IEEE Trans. Fuzzy Syst., vol. 13, no. 1, pp. 82-93, 2005.   DOI   ScienceOn
7 J. C. Lo and M. L. Lin, "Robust $H{\infty}$ nonlinear control via fuzzy static output feedback," IEEE Trans. Circuits Syst. I, vol. 50, no. 11, pp. 1494-1502, 2003   DOI