Describing function analysis of second-order sliding mode observers

Authors:
I. BoIko;M. I. Castellanos;L. Fridman
Affiliations:
University of Calgary, Calgary, Alberta, Canada;National Autonomous University of Mexico, UNAM 04510, Mexico, Henry Dunant 4016, Ciudad Juarez, Mexico;Facultad de Ingenieria, Department of Control, Division of Electrical Engineering, Universidad Nacional Autonoma de Mexico, 04510, Mexico, D.F, Mexico
Venue:
International Journal of Systems Science - Advances in Sliding Mode Observation and Estimation (Part One)
Year:
2007

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Abstract

The second-order sliding mode observer dynamics are analyzed in the frequency domain. The so-called super-twisting algorithm is utilized for generating the second-order sliding mode in the observer dynamical system. The frequency response of the observer dynamics is obtained and used as a characteristic of the observer. The analysis proposed is based on the describing function method and the concept of the equivalent gains of nonlinear functions of the super-twisting algorithm.