In this paper an algorithm is presented for the stabilization of a non linear and multi-inputs system: a blower temperature described by a multimodel. The originality of this work lies on the fact that the applied control is quantified. In the first stage, a synthesis of a multiobserver, stabilized polyquadratically, with proper characteristic values situated in a disc inside unit circle is presented. The command law, stabilized polyquadratically, is based on the multiobserver and tracing of

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... es. In a second stage, the computed control can not be directly applied to the plant because of the quantification imposed by the heating resistors. To go over this problem, the variation of the ventilation's speed can compensate for the errors of the command due to the quantification of the heated power. The choice of the optimal ventilation's speed is based on the minimization of a criterion evaluating the distance between the measured output and the desired output.