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http://dx.doi.org/10.5302/J.ICROS.2005.11.1.009

An LMI Approach for Designing Sliding Mode Observers  

Choi Han Ho (동국대학교 전기공학과)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.11, no.1, 2005 , pp. 9-12 More about this Journal
Abstract
This paper presents an LMI-based method to design sliding mode observers for a class of uncertain systems. Using LIs we derive an existence condition of a sliding mode observer guaranteeing a stable sliding motion. And we give explicit formulas of the observer gain matrices. We also consider sliding mode observer design problems under an α-stability constraint or an LQ performance bound constraint. Finally, we give a numerical design example.
Keywords
linear matrix inequality(LMI); sliding observer; uncertain system;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 B. S. Heck, S. V. Yallapraganda and M. K H. Fan, 'Numerical methods to design the reaching phase of output feedback variable structure control', Automatica, vol. 31, no. 2, pp. 275-279, 1995   DOI   ScienceOn
2 C. Edwards and S. K Spurgeon, 'Sliding mode control: theory and applications', Bristol, PA:Taylor & Francis Ltd, 1998
3 B. L. Walcott and S. H. Zak, 'State observation of nonlinear uncertain dynamical systems', IEEE Trans. Automat. Contr., vol. 32, no. 2, pp. 166-170, 1987   DOI
4 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
5 P. Gahinet, A. Nemirovski and A. J. Laub, 'LMI Control Toolbox User's Guide', MA:The MathWorks Inc., Natic, 1995
6 S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, 'Linear matrix inequalities in system and control theory', SIAM, Philadelphia, 1994
7 C. Scherer, P. Gahinet and M. Chilali, 'Multiobjective output-feedback control via LMI optimization', IEEE Trans. Automat. Contr., vol. 42, no. 7, pp. 896-9111, 1997   DOI   ScienceOn
8 V. I. Utkin, 'Variable structure systems with sliding modes', IEEE Trans. Automat. Contr., vol. 22, no. 2, pp. 212-222, 1977   DOI