Browse > Article
http://dx.doi.org/10.5391/JKIIS.2011.21.5.549

Design of Output Feedback Controller for Polynomial Fuzzy Large-Scale System : Sum-of-Square Approach  

Kim, Han-Sol (연세대학교 전기전자공학과)
Joo, Young-Hoon (군산대학교 제어로봇공학과)
Park, Jin-Bae (연세대학교 전기전자공학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.21, no.5, 2011 , pp. 549-554 More about this Journal
Abstract
This paper presents the stabilization method for polynomial fuzzy large-scale system by using output feedback controller. Each sub system of the large-scale system is transformed into polynomial fuzzy model, and then output feedback controller is designed to stabilize the large-scale system. Stabilization condition is derived as sum-of-square (SOS) condition by applying the polynomial Lyapunov function. This condition can be easily solved by SOSTOOLS which is the third party of the MATLAB. From these solutions, output feedback controller gain can be obtained by SOS condition. Finally, a simulation example is presented to illustrate the effectiveness and the suitability of the proposed method.
Keywords
Polynomial fuzzy system; Sum-of-Square(SOS) condition; output feedback controller; large-scale system;
Citations & Related Records
연도 인용수 순위
  • Reference
1 T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, and Cybern., Vol. SMC-15, No. 1, pp. 116-132, 1985   DOI
2 K. Tanaka and H. O. Wang, "Fuzzy control systems design and analysis," New York: Wiley, 2001
3 C. S. Tseng, "H${\infty}$ decentralized fuzzy model reference tracking control design for nonlinear interconnected systems," IEEE Trans. Fuzzy Systems, Vol. 9, No. 6, pp. 795-809, 2001   DOI   ScienceOn
4 G. B. Koo, J. B. Park, Y. H. Joo, and S. J. Kim, "Decentralized fuzzy controller for nonlinear interconnected systems with missing measurements," Fuzzy systems, FUZZ-IEEE 2009. IEEE International Conference on., pp. 240-244, 2009
5 K. Tanaka, H. Yoshida, H. Ohtake, and H. O. Wang, "A Sum-of-squares approach to modeling and control of nonlinear dynamical systems with polynomial fuzzy systems," IEEE Trans. Fuzzy Systems, Vol. 17, No. 4, pp. 911-922, 209   DOI
6 A. Sala and C. Ario, "Polynomial fuzzy models for nonlinear control: a Taylor series apporoach," IEEE Trans. Fuzzy Systems, Vol 17, No. 6, pp. 1284-1295, 2009   DOI
7 M. Narimani and H. K. Lam, "SOS-based stability analysis of polynomial fuzzy-model-based control systems via polynomial membership functions," IEEE Trans. Fuzzy Systems, Vol. 18, No. 5, pp. 862-871, 2010   DOI
8 S. Prajna, A. Parachristodoulou, P. Seiler, and P. A. Parrilo, "SOSTOOLS: sum-of squares optimization toolbox for MATLAB," California Inst. Technol., Pasadena, 2009
9 J. F. Sturm, "Using SEDUMI 1.02, a Matlab toolbox for optimizations over symmetric cones," Optimization Meth. Software, Vol. 11-12, pp. 625-653, 1999
10 H. K. Khalil, " Nonlinear Systems," Macmillan Co., New York, 1992