H∞ multi-objective and multi-model MIMO control design for broadband noise attenuation in an enclosure

The Active Noise Control (ANC) problem considered throughout this paper consists of attenuating the noise in one point of an enclosure, over a broadband frequency range, using a feedback control scheme. This paper proposes a general framework and a benchmark which allow a fair and quantitative comparison of achievable performances according to the number of actuator(s) and sensor(s) used for the control. At first, the experimental set up is described, then the identification of a low order MIMO acoustic model is presented. A multi-objective and multi-model control approach, is then proposed. The multi-objective synthesis allows to cope with design trade-off without conservatism, while the multimodel design enhances the robustness of the control. Finally some simulation and experimentation results are given which illustrate how the proposed methodology makes possible to compare achievable performances depending on the number of sensors and actuators used.

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