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Spatial compensation of boundary disturbances by boundary actuators

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Afifi L., Chafiai A., Jai A. E.
International Journal of Applied Mathematics and Computer Science
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2001
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tom 11
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nr 4
899-920
EN
In this paper we show how to find convenient boundary actuators, termed boundary efficient actuators, ensuring finite-time space compensation of any boundary disturbance. This is the so-called remediability problem. Then we study the relationship between this remediability notion and controllability by boundary actuators, and hence the relationship between boundary strategic and boundary efficient actuators. We also determine the set of boundary remediable disturbances, and for a boundary disturbance, we give the optimal control ensuring its compensation.
2
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Admissible disturbance sets for discrete perturbed systems

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Bouyaghroumni J., Jai A. E., Rachik M.
International Journal of Applied Mathematics and Computer Science
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2001
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tom 11
|
nr 2
349-367
EN
We consider a discrete disturbed system given by the difference bilinear equation where are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function. Let be a tolerance index on the output. The disturbance is said to be -admissible if, where is the output signal associated with the case of an uninfected system. The set of all -admissible disturbances is the admissible set. The characterization of is investigated and numerical simulations are given.
3
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Regional detection and reconstruction of unknown internal or boundary sources

100%
Afifi L., Jai A. E., Merry M.
International Journal of Applied Mathematics and Computer Science
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2001
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tom 11
|
nr 2
319-347
EN
The purpose of this paper is to study the problem of regional detection, to characterize internal or boundary regionally detectable sources and regionally spy sensors, and to establish a relationship between these sensors and regionally strategic sensors. It is shown how to reconstruct a regionally detectable internal or a boundary source from a given output, with an extension to the case when the output is affected by an observation error. Numerical results are given in the case of a diffusion system.
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