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2 International Journal of Applied Mathematics and Computer Science

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Enlarged exact compensation in distributed systems

100%

Afifi L. , Chafiai A. , Fekih A. B.

International Journal of Applied Mathematics and Computer Science

2002

tom 12

nr 4

467-477

In this work, we examine, through the observation of a class of linear distributed systems, the possibility of reducing the effect of disturbances (pollution, etc.), by making observations within a given margin of tolerance using a control term. This problem is called enlarged exact remediability. We show that with a convenient choice of input and output operators (actuators and sensors, respectively), the considered control problem has a unique optimal solution, which will be given. We also study the relationship between the notion of remediability, introduced in previous works, and that of enlarged exact remediability.

Spatial compensation of boundary disturbances by boundary actuators

100%

Afifi L. , Chafiai A. , Jai A. E.

International Journal of Applied Mathematics and Computer Science

2001

tom 11

nr 4

899-920

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.