Observer Design for Uniformly Observable Systems With Sampled Measurements

Abstract : This work considers the problem of observer design for continuous-time systems with sampled output measurements (continuous-discrete time systems). In classical literature and in many applications, the continuous-discrete time extended Kalman filter (EKF) is used in order to tackle this problem. In this work, using a normal form characterizing the class of nonlinear uniformly observable single output nonlinear systems, it is shown that a particular stationary solution of a continuous discrete time Lyapunov equation can be used in order to design a constant high gain observer. Explicit conditions are given to ensure global convergence of the observer. Finally, an illustration of this result is given using an example of a biological process.
Keywords : ACL
Type de document :
Article dans une revue
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (3), pp.757-762. 〈10.1109/TAC.2012.2212517〉
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https://hal.archives-ouvertes.fr/hal-01917705
Contributeur : Olivier Garrigues <>
Soumis le : vendredi 9 novembre 2018 - 16:00:47
Dernière modification le : jeudi 7 février 2019 - 16:41:33

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M. Nadri, H. Hammouri, R.M. Grajales. Observer Design for Uniformly Observable Systems With Sampled Measurements. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (3), pp.757-762. 〈10.1109/TAC.2012.2212517〉. 〈hal-01917705〉

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