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http://dx.doi.org/10.5302/J.ICROS.2009.15.7.667

Sliding Mode Control Design for Polytopic Models  

Choi, Han-Ho (동국대학교 전기공학과)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.15, no.7, 2009 , pp. 667-670 More about this Journal
Abstract
This paper presents an LMI-based method to design a sliding mode controller for a multivariable uncertain system with a polytopic model. In terms of LMIs an existence condition of a sliding surface is derived. And a switching feedback control law is given. Finally, a numerical design example is given to show that the proposed method can be better than the existing results.
Keywords
LMI(Linear Matrix Inequality); uncertain system; sliding mode; polytopic model;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 최한호, '선형 슬라이딩 평면의 개선된 존재 조건' 제어,자동화,시스템공학 논문지, 제13권 제9호, pp.851-855, 2007   과학기술학회마을   DOI
2 최한호, '전차수 슬라이딩 모드 관측기를 대체하는 축소차수 관측기의 LM 기반 설계,' 제어,로봇,시스템학회 논문지, 제14권 제3호, pp.232-235, 2008   DOI
3 H. H. Choi, 'Variable structure control of dynamical systems with mismatched norm-bounded uncertainties: An LMI approach,' Int. J Control, vol. 74, pp. 1324-1334, 2001   DOI
4 H. H. Choi, 'LMI-based sliding surface design for integral sliding mode control of mismatched uncertain systems,' IEEE Trans. Automat. Contr., vol. 52. no. 4, pp. 736-742, 2007   DOI   ScienceOn
5 S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in system and Control Theory, Philadelphia, SlAM, 1994
6 M. C. M. Teixeira, and S. H. Zak, 'Stabilizing controller design for uncertain nonlinear systems using fuzzy models,' IEEE Trans. Fuzzy Syst., vol. 7, pp. 133-142, 1999   DOI   ScienceOn
7 C. Edwards, 'A practical method for the design of sliding mode controllers using linear matrix inequalites,' Automatica., vol 40, pp. 1761-1769,2004   DOI   ScienceOn
8 R. A. DeCarlo, S, H. Zak, and G, P. Mathews,'Variable structure control of nonlinear multivariable systems: A tutorial,' IEEE Proceedings, vol 76, pp. 212-232, 1988   DOI   ScienceOn
9 V,L Utkin, 'Variable structure systems with sliding modes,' IEEE Trans, Automat, Contr., vol 22, pp, 212-222, 1977   DOI