Browse > Article

LMI-based Design of Integral Sliding Mode Controllers for Time-Delay Systems  

Choi, Han-Ho (동국대학교 전기공학과)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.58, no.12, 2009 , pp. 2480-2483 More about this Journal
Abstract
This paper presents an LMI-based method to design a integral sliding mode controller for a class of uncertain time-delay systems. Using LMIs we derive an existence condition of a sliding surface guaranteeing the asymptotic stability of the sliding mode dynamics. And we give a switching feedback control law. Our method is a generalization of the previous integral sliding mode control design methods. Since our method is based on LMIs, it gives design flexibility for combining various useful design criteria that can be captured in the LMI-based formulation. We also give LMI existence conditions of sliding surfaces guaranteeing a-stability or LQ performance constraint. Finally, we give a numerical design example to show the effectiveness of the proposed method.
Keywords
LMI; Integral sliding mode control; Time-delay system;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in system and Control Theory, Philadelphia, SIAM, 1994
2 E.M. Jafarov, 'Robust sliding mode controllers design techniques for stabilization of multi variable time-delay systems with parameter perturbations and external disturbances,', Int. J. Systems Science, vol. 36, pp. 433-444, 2005   DOI   ScienceOn
3 H.H. Choi, 'Sliding-mode output feedback control design,' IEEE Trans. Ind. vol. 55, pp. 4047-4054, 2008   DOI   ScienceOn
4 S. Oucheriah, 'Exponential stabilization of linear delayed systems using sliding-mode controllers,' IEEE Trans. Circuits Syst. I, vol. 55, pp. 826-830, 2003   DOI
5 R. El-Khazali, 'Variable structure robust control of uncertain time-delay systems,' Automatica, vol. 34, pp. 327-332, 1998   DOI   ScienceOn
6 U. Shaked 'An LPD approach to robust $H_2$ and $H_{\infty}$ static output-feedback design,' IEEE Trans. Automat. Contr., vol. 48, no.5, pp.866-872, 2003   DOI   ScienceOn
7 J. Ackermann and V.I. Utkin, 'Sliding mode control design based on Ackermann's formula', IEEE Trans. Automat Contr., vol. 43, no. 2, pp. 234-237, 1998   DOI   ScienceOn