Admissible Disturbance Sets for Discrete Perturbed Systems

• Autorzy: Bouyaghroumni J. , El Jai A. , Rachik M.
• Języki publikacji: EN

Abstrakty

EN

We consider a discrete disturbed system given by the difference bilinear equation x^{w}_{i+1} =Ax^{w}_{i} + De_{i} + sum_{j=1}^{q}f^{j}_{i}B_{j}x^{w}_{i}, i geq 0, where w=((e_{i})_{i geq 0}, (f_{i})_{i geq 0}) are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function y^{w}_{i}=Cx^{w}_{i}, i geq 0. Let varepsilon be a tolerance index on the output. The disturbance w is said to be varepsilon-admissible if ||y^{w}_{i}-y_{i}|| leq varepsilon, forall i geq 0, where (y_{i})_{i geq 0} is the output signal associated with the case of an uninfected system. The set of all varepsilon-admissible disturbances is the admissible set {cal W}(varepsilon). The characterization of {cal W}(varepsilon) is investigated and numerical simulations are given.

Słowa kluczowe

EN

discrete systems; bilinear disturbance; admissibility index

PL

system dyskretny; zaburzenie dwuliniowe; wskaźnik dopuszczalności

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: Vol. 11, no 2
• Strony: 349--367
• Opis fizyczny: Bibliogr. 14 poz., rys., tab., wykr.

Twórcy

autor

Bouyaghroumni J.

• Faculty of Sciences, Department of Mathematics, Ben M’sik, Casablanca, Morocco

autor

El Jai A.

• Systems Theory Laboratory, University of Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France

autor

Rachik M.

• Faculty of Sciences, Department of Mathematics, Ben M’sik, Casablanca, Morocco

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