Browse > Article
http://dx.doi.org/10.5302/J.ICROS.2008.14.4.381

An LMI-based Decentralized Sliding Mode Static Output Feedback Control Design Method for Large Scale Systems  

Choi, Han-Ho (동국대학교 전기공학과)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.14, no.4, 2008 , pp. 381-384 More about this Journal
Abstract
In this paper, we consider the problem of designing decentralized sliding mode static output feedback control laws for a class of large scale systems with mismatched uncertainties. We derive a sufficient condition for the existence of a linear switching surface in terms of constrained linear matrix inequalities(LMIs), and we parameterize the linear switching surfaces in terms of the solution matrices to the given constrained LMI existence conditions. We also give an LMI-based algorithm for designing decentralized switching feedback control laws. Finally, we give a design example in order to show the effectiveness of our method.
Keywords
Linear Matrix Inequality(LMI); static output feedback; sliding mode control; switching surface; large scale system; decentralized control; uncertain system;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 0
연도 인용수 순위
1 X.-G. Yan, C. Edwards, and S. K. Spurgeon, "Decentralised robust sliding mode control for a class of nonlinear interconnected systems by static output feedback," Automatica, vol. 40, pp. 613-620, 2004   DOI   ScienceOn
2 L. Xie and C. E. DeSouza, "Robust H$\infty$ control for linear systems with norm-bounded time-varying uncertainty," IEEE Trans. Automat. Contr., vol. 37, pp. 1188-1191, 1992   DOI   ScienceOn
3 L. El Ghaoui, F. Oustry, and M. AitRami, "A cone complementarity linearization algorithm for static output-feedback and related problems," IEEE Trans. Automat. Contr., vol. 42, pp. 1171-1176, 1997   DOI   ScienceOn
4 최한호, "LMI 기반 제어기 설계를 위한 간단한 지침서," 제어.자동화.시스템공학회지, 제 11 권, 제 2호, pp. 54-66, 2005   과학기술학회마을
5 S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, "Linear Matrix Inequalities in system and Control Theory, Philadelphia," SIAM, 1994
6 H. Khurana, S. I. Ahson, and S. S. Lamba, "On stabilization of large-scal control systems using variable structure system theory" IEEE Trans. Automat. Contr., vol. 31, pp.176-178, 1986   DOI
7 X. Xu, Y. Wu, and W. Huang, "Variable structure control approach of decentralized model reference adaptive systems," IEE Proc. Pt. D, vol. 137, pp. 302-306, 1990   DOI