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Spatial compensation of boundary disturbances by boundary actuators

100%
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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How to compensate a spreading disturbance for a class of nonlinear systems

100%
Qaraai Y., Bernoussi A., El Jai A.
International Journal of Applied Mathematics and Computer Science
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2008
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tom 18
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nr 2
171-187
EN
We consider a system which is assumed to be affected by an expanding disturbance which occurs at the initial time. The compensation of the disturbance is accomplished by extending the concept of remediability to a class of nonlinear systems. The results are implemented and illustrated with a nonlinear distributed model.
3
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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
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2002
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tom 12
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nr 4
467-477
EN
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.
4
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Protector control: Extension to a class of nonlinear distributed systems

86%
Qaraai Y., Bernoussi A.
International Journal of Applied Mathematics and Computer Science
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2010
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tom 20
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nr 3
427-443
EN
We present an extension of the protector control scheme introduced for the linear case in a previous work to a class of nonlinear systems. The systems considered are assumed to have a finite propagation velocity while the initial state is subject to a spreading disturbance. We characterize such a control first by using the remediability approach to the resulting nonlinear delay system, and then by coupling families of transformations and the delay approach. To illustrate this work, we provide a simulation example.
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