Displaying similar documents to “A numerical method for the solution of the nonlinear observer problem”
General solutions of certain nonlinear partial differential equations
V. Lj. Kocić (1977)
Matematički Vesnik
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Nonlinear observers for locally uniformly observable systems
Hassan Hammouri, M. Farza (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper deals with the observability analysis and the observer synthesis of a class of nonlinear systems. In the single output case, it is known [4-6] that systems which are observable independently of the inputs, admit an observable canonical form. These systems are called uniformly observable systems. Moreover, a high gain observer for these systems can be designed on the basis of this canonical form. In this paper, we extend the above results to multi-output uniformly observable systems....
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.
Observer design for a class of nonlinear system in cascade with counter-convecting transport dynamics
Xiushan Cai, Linling Liao, Junfeng Zhang, Wei Zhang (2016)
Kybernetika
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Observer design for ODE-PDE cascades is studied where the finite-dimension ODE is a globally Lipschitz nonlinear system, while the PDE part is a pair of counter-convecting transport dynamics. One major difficulty is that the state observation only rely on the PDE state at the terminal boundary, the connection point between the ODE and the PDE blocs is not accessible to measure. Combining the backstepping infinite-dimensional transformation with the high gain observer technology, the...
Linearization Of Nonlinear Differential Equations: Third Order Nonlinear Ordinary Differential Equations Equivalent To Linear Second Order Equations
Vlajko Lj. Kocić (1982)
Publications de l'Institut Mathématique
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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...
Nonlinear analysis. New arguments and results. II.
Lamberto Cesari (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.