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http://dx.doi.org/10.5302/J.ICROS.2008.14.8.837

Robust Reduced Order State Observer for Lipschitz Nonlinear Systems  

Lee, Sung-Ryul (군산대학교 전자정보공학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.14, no.8, 2008 , pp. 837-841 More about this Journal
Abstract
This paper presents a robust reduced order state observer for a class of Lipschitz nonlinear systems with external disturbance. Sufficient conditions on the existence of the proposed observer are characterized by linear matrix inequalities. It is also shown that the proposed observer design can reduce the effect on the estimation error of external disturbance up to the prescribed level. Finally, a numerical example is provided to verify the proposed design method.
Keywords
robust reduced order state observer; Lipschitz nonlinear systems; linear matrix inequalities;
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1 S. Raghavan and J. Hedrick, 'Observer design for a class of nonlinear systems,' Int. J. of Contr., vol. 59, pp. 515-528, 1994   DOI   ScienceOn
2 F. Zhu and Z. Han, 'A note on observers for Lipschitz nonlinear systems,' IEEE Trans. Automat. Control, vol. 47, pp. 1751-1754, 2002   DOI   ScienceOn
3 A. Zemouche, M. Boutayeb, and G. Bara, 'Observers for a class of Lipschitz systems with extension to $H{\infty}$ performance analysis,' Systems & Control Letters, vol. 57, pp. 18-27, 2008   DOI   ScienceOn
4 M. S. Chen and C. C. Chen, 'Robust nonlinear observer for Lipschitz nonlinear systems subject to disturbances,' IEEE Trans. on Automat. Contr., vol. 52, no. 12, pp. 2365-2369, 2007   DOI   ScienceOn
5 M. Abbaszadeh and H. Marquez, 'A robust observer design method for continuous-time Lipschitz nonlinear systems,' Proc. of the 45th IEEE Conf. on Decision & Control, pp. 3795-3800, 2006
6 G. Lu and G. Feng, 'Robust H$\infty$ observers for Lipschitz nonlinear discrete-time systems with time delay,' IET Control Theory & Appl., vol. 1, no. 3, pp. 810-816, 2007   DOI   ScienceOn
7 S. P. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnam, 'Linear matrix inequalities in system and control theory,' vol. 15, Philadelphia, PA: SIAM, 1994
8 R. Rajamani, 'Observers for Lipschitz nonlinear systems,' IEEE Trans. Automat. Control, vol. 43, no.3, pp. 397-401, 1998   DOI   ScienceOn
9 F. Thau, 'Observing the state of nonlinear dynamic systems,' Int. J. of Contr., vol. 17, no. 3, pp. 471-479, 1973   DOI   ScienceOn
10 A. M. Pertew, H. J. Marquez, and Q. Zhao, '$H{\infty}$ observer design for Lipschitz nonlinear systems,' IEEE Trans. on Automat. Contr., vol. 51, no. 7, pp. 1211- 1216, 2006   DOI   ScienceOn