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http://dx.doi.org/10.5302/J.ICROS.2006.12.11.1057

Reduced Order Observer Based Sliding Mode Control  

Choi, Han-Ho (동국대학교 전기공학과)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.12, no.11, 2006 , pp. 1057-1060 More about this Journal
Abstract
This paper presents an LMI-based method to design a reduced order observer based sliding mode controller for a class of uncertain systems. Using LMIs we derive an existence condition of a reduced order observer and a sliding mode control law. And we give explicit formulas of the gain matrices. Finally, we give a numerical design example, together with a design algorithm.
Keywords
Linear Matrix Inequality(LMI); observer; uncertain system; sliding mode;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 S. H. Zak and S. Hui 'On variable structure output feedback controllers for uncertain dynamic systems,' IEEE Trans. Automat. Contr., vol. 38, no. 10, pp. 1509-1512, 1993   DOI   ScienceOn
2 U. Shaked, 'An LPD approach to robust $H_2$ and $H_{\infty}$ static output-feedback design,' IEEE Trans. Automat. Contr., vol. 48, pp. 866-872, 2003   DOI   ScienceOn
3 S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, 'Linear Matrix Inequalities in system and Control Theory,' Philadelphia, SIAM, 1994
4 T. Iwasaki and R. E. Skelton, 'All controllers for the general $H_{\infty}$ control problem: LMI existnce condition and state space formulas,' Automatica, vol. 30, pp. 1307-1317, 1994   DOI   ScienceOn
5 C. P. Tan and C. Edwards, 'An LMI approach for designing sliding mode observers,' Int. J. Contr. vol. 74, no. 16, pp. 1559-1568, 2001   DOI   ScienceOn
6 최한호, '슬라이딩 모드 관측기 설계를 위한 선형행렬 부등식 접근법', 제어.자동화.시스템공학 논문지, 제11권, 제1호, pp. 9-12, 2005   과학기술학회마을   DOI
7 P. Gahinet, A. Nemirovski, and A. J. Laub, 'LMI Control Toolbox User's Guide,' Natic, MA: The MathWorks Inc., 1995
8 C. Edwards and S. K. Spurgeon, 'On the developement of discontinuous observers,' Int. J. Control, vol. 59, pp. 1211-1229, 1994   DOI   ScienceOn
9 B. L. Walcott and S. H. Zak, 'Combined observer-controller sysnthesis for uncertain dynamical systems with applications,' IEEE Trans. Systems, Man, and Cybernetics, vol. 18, no. 1, pp. 88-104, 1988   DOI   ScienceOn