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MCSS
2006
Springer

Global complete observability and output-to-state stability imply the existence of a globally convergent observer

9 years 10 months ago
Global complete observability and output-to-state stability imply the existence of a globally convergent observer
In this paper we consider systems which are globally completly observable and output-to-state stable. The former property guarantees the existence of coordinates such that the dynamics can be expressed in observability form. The latter property guarantees the existence of a state norm observer and therefore nonlinearities bounding function and local Lipschitz bound. Both allow us to build an observer from an approximation of an exponentially attractive invariant manifold in the space of the system state and an output driven dynamic extension. The state of this observer has the same dimension as the state to be observed. Its main interest is to provide convergence to zero of the estimation error within the domain of definition of the solutions.
Alessandro Astolfi, Laurent Praly
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2006
Where MCSS
Authors Alessandro Astolfi, Laurent Praly
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