Nonlinear observers for locally uniformly observable systems

Hassan Hammouri; M. Farza

Displaying similar documents to “Nonlinear observers for locally uniformly observable systems”

Realization of nonlinear input-output equations in controller canonical form

Arvo Kaldmäe, Ülle Kotta (2018)

Kybernetika

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In this paper necessary and sufficient conditions are given which guarantee that there exists a realization of a set of nonlinear higher order differential input-output equations in the controller canonical form. Two cases are studied, corresponding respectively to linear and nonlinear output functions. The conditions are formulated in terms of certain sequence of vector spaces of differential 1-forms. The proofs suggest how to construct the transformations, necessary to obtain the specific...

How to compensate a spreading disturbance for a class of nonlinear systems

Youssef Qaraai, Abdes Samed Bernoussi, Abdelhaq El Jai (2008)

International Journal of Applied Mathematics and Computer Science

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We consider a system which is assumed to be affected by an expanding disturbance which occurs at the initial time. The compensation of the disturbance is accomplished by extending the concept of remediability to a class of nonlinear systems. The results are implemented and illustrated with a nonlinear distributed model.

Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks

Tadeusz Kaczorek (2015)

International Journal of Applied Mathematics and Computer Science

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The positivity and linearization of a class of nonlinear continuous-time system by nonlinear state feedbacks are addressed. Necessary and sufficient conditions for the positivity of the class of nonlinear systems are established. A method for linearization of nonlinear systems by nonlinear state feedbacks is presented. It is shown that by a suitable choice of the state feedback it is possible to obtain an asymptotically stable and controllable linear system, and if the closed-loop system...

Observer design using a partial nonlinear observer canonical form

Klaus Röbenack, Alan Lynch (2006)

International Journal of Applied Mathematics and Computer Science

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This paper proposes two methods for nonlinear observer design which are based on a partial nonlinear observer canonical form (POCF). Observability and integrability existence conditions for the new POCF are weaker than the well-established nonlinear observer canonical form (OCF), which achieves exact error linearization. The proposed observers provide the global asymptotic stability of error dynamics assuming that a global Lipschitz and detectability-like condition holds. Examples illustrate...