Sliding-mode observers for uncertain systems

Authors:
Karanjit Kalsi;Jianming Lian;Stefen Hui;Stanislaw H. Zak
Affiliations:
School of Electrical and Computer Engineering, Purdue University, IN;School of Electrical and Computer Engineering, Purdue University, IN;Department of Mathematical Sciences, San Diego State University, San Diego, CA;School of Electrical and Computer Engineering, Purdue University, IN
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 4
Cited 0

State and input estimation for a class of uncertain systems

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Abstract

Sliding-mode observer design is considered for linear systems with unknown inputs when the so-called observer matching condition is not satisfied. To circumvent the restriction imposed by the observer matching condition, the method of utilizing auxiliary outputs generated by high-order sliding-mode exact differentiators in the sliding-mode observer design has been proposed in the literature. In this paper, an alternative approach is proposed to use high-gain approximate differentiators of simpler architecture instead of high-order sliding-mode exact differentiators. The capability of reconstructing the unknown inputs using the proposed high-gain approximate differentiator based sliding-mode observer is also discussed and then illustrated with a numerical example.