The ϵ-capacity of a gain matrix and tolerable disturbances: Discrete-time perturbed linear systemsReportar como inadecuado




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1 Faculté des Sciences Ben M-sik Casablanca

Abstract : Discrete-time linear systems with perturbed initial state are considered. A disturbance that infects the initial state is said to be ϵ-tolerable if the corresponding output signal is relatively insensitive to their effects. In this paper, we will define a new set that characterize each gain matrix K and the associated feedback control law ui=Kxi– , this set will be called the ϵ–-capacity of the gain matrix K. The set of all possible gain matrix that makes the system insensitive to all disturbances is noted \Phi·. The characterization of \Phi· is investigated, and we propose an algorithmic approach that allows to determine if a control law is belongs to \Phi· or not. Numerical simulations are given.

Keywords : disturbances ϵ-tolerable linear system ϵ-capacity Index Terms: discrete-time perturbed initial state admissible set





Autor: O Zakary - M Rachik -

Fuente: https://hal.archives-ouvertes.fr/



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