Observation of linear systems with unknown inputs via high-order sliding-modes

Authors:
Leonid Fridman;Arie Levant;Jorge Davila
Affiliations:
Engineering Faculty, Department of Control, Division of Electrical Engineering, National Autonomous University of Mexico, Ciudad Universitaria, Universidad Nacional Autonoma de Mexico, Mexico, D.F ...;Applied Mathematics Department, School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv. Tel-Aviv 69978, Israel;Engineering Faculty, Department of Control, Division of Electrical Engineering, National Autonomous University of Mexico, Ciudad Universitaria, Universidad Nacional Autonoma de Mexico, Mexico, D.F ...
Venue:
International Journal of Systems Science - Advances in Sliding Mode Observation and Estimation (Part One)
Year:
2007

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Abstract

A high-order sliding-mode observer is designed for linear time invariant systems with single output and unknown bounded single input. It provides for the global observation of the state and the output under sufficient and necessary conditions of strong observability or strong detectability. The observation is finite-time-convergent and exact in the strong observability case. The accuracy of the proposed observation and identification schemes is estimated via the sampling step or magnitude of deterministic noises. The results are extended to the multi-input multi-output case.