Abstract
This work extends the applicability of variable structure observers designed for nonlinear systems in two ways. First, it is proved that these observers using a boundary-layer scheme can be applied to system models described by Ito differential equations, resulting in almost sure and mean square exponential estimation error. Second, the use of variable structure observers is extended to nonlinear measurement models containing disturbance effects. Also, a novel approach for obtaining the required parameters in the observer design is provided. Finally, two examples are given to illustrate the application and favorable convergence properties of these generalizations.
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Yaz, E., Azemi, A. Sliding mode observers for nonlinear models with unbounded noise and measurement uncertainties. Dynamics and Control 3, 217–235 (1993). https://doi.org/10.1007/BF01972697
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DOI: https://doi.org/10.1007/BF01972697