[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5391/IJFIS.2002.2.3.231

Local Stabilization of Input-Saturated Nonlinear Systems with Time-Delay via Fuzzy Control

Shin, Hyun-Seok (Dept. of Electrical and Electronic Engr., Yonsei University)
Park, Chul-Wan (Dept. of Electrical and Electronic Engr., Yonsei University)
Kim, Eun-Tai (Dept. of Electrical and Electronic Engr., Yonsei University)
Park, Min-Kee (Dept. of Electronic Information Engr., Seoul National University of Technology)
Park, Mig-Non (Dept. of Electrical and Electronic Engr., Yonsei University)

Publication Information

International Journal of Fuzzy Logic and Intelligent Systems / v.2, no.3, 2002 , pp. 231-236 More about this Journal

Abstract

In this paper, we present an analysis and design method fur the control of input-saturated nonlinear systems with the time-delay. The target system is represented by Takagi-Sugeno (T-S) fuzzy model and the parallel distributed compensation (PDC) controller is designed to guarantee the local stability of the equilibrium point. We derive the sufficient condition for the local stability by applying Lyapunov-krasovskii theorem and this condition is converted into the LMI problem.

Keywords

T-S fuzzy system; saturation; time-delay; LMI;

Citations & Related Records

Reference

1	Y. Y. Cao, Z. Lin and T. Hu, 'Stability analysis of linear time-delay systems subject to input saturation,' IEEE Trans. Circuits Syst. I, vol. 49, no. 2, pp. 233-240, 2002 DOI ScienceOn
2	H. Hindi, S. Boyd, 'Analysis of linear systems with saturation using convex optimization,' Proc. of the $37^{th}$ Conf. on Deci. & Contr., pp. 903-908, 1998
3	S. Boyd, L. E Ghaoui, E. Feron, and V. Balaknshnan, Linear matrix inequalities in systems and control theory, Philadelphia, PA: SIAM, 1994
4	S. -I. Niculescu, J. -M. Dion, and L. Dugard, 'Robust stabilization for uncertain time-delay systems containing saturating actuators,' IEEE Trans. Automat. Contr., vol. 41, no. 5, pp. 742-747, 1996 DOI ScienceOn
5	S. Tarbouriech and J. M. G. da Silva, Jr, 'Synthesis of controllers for continuous-time delay systems with saturating controls via LMI's,' IEEE Trans. Automat. Contr., vol. 45, no. 1, pp. 105-111, 2000 DOI ScienceOn
6	T. Hu, Z. Lin, and B. M. Chen, 'An analysis and design method for linear systems subject to actuator saturation and disturbance,' Automatica, vol. 38, no. 2, pp. 351-359, 2002 DOI ScienceOn
7	H. -Y. Su, F. Liu and J. Chu, 'Robust stabilization of uncertain time-delay systems containing saturating actuators,' IEE Proc.-Control Theory Appl., Vol. 148, no. 4,pp. 323-328, 2001 DOI ScienceOn
8	K. Tanaka and M. Sugeno, 'Stability analysis and design of fuzzy control systems,' Fuzz Sets and Syst., vol. 45, no.2,pp. 135-156, 1992 DOI ScienceOn
9	T. Takagi and M. Sugeno, 'Fuzzy identification of systems and its applications to modeling and control,' IEEE Trans. Syst., Man, Cybern., vol. 15, pp. 116-132, 1985