Abstract
This work deals with nonlinear observer synthesis for a particular class of hybrid dynamic systems (HDS): autonomous switching systems with jumps. The jumps can result from the system’s dynamics or from the diffeomorphism, which makes it possible to lead the system to an observability canonical form. In this paper, our contribution relates to the design of a second order sliding mode based observer (“Super Twisting Algorithm”). It allows for estimating both continuous and discrete state related to the active dynamic. On the other hand, these observers ensure a finite time convergence of the estimation error.
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Notes
- 1.
The regularity condition means that the \(n-1\) derivatives are enough to recover all the state vector \(x.\) The localy weakly observabilty was introduced in [15].
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Djemai, M., Manamanni, N., Barbot, J.P. (2015). Nonlinear Observer for Autonomous Switching Systems with Jumps. In: Djemai, M., Defoort, M. (eds) Hybrid Dynamical Systems. Lecture Notes in Control and Information Sciences, vol 457. Springer, Cham. https://doi.org/10.1007/978-3-319-10795-0_4
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