A design of an adaptive noise control system using a computational aeroacoustics (CAA) code combined with an optimizer to control adaptively liner impedance is proposed and tested for multidimensional acoustic problems. The adaptive noise control system consists of two primary components, an expert subsystem and a liner with controllable impedance properties. For a current acoustic field due to a noise source and a given mean flow condition, an optimization process is executed by the expert subsystem in search of a set of required impedance parameters that minimize the difference between the current and the desired acoustic fields. The liner properties then can be adjusted adaptively to the required impedance parameters. For a broadband noise source, the feasibility and potential of the design concept on the coupling of a CAA time-domain method with an optimizer are demonstrated by using the three-parameter impedance model of the Helmholtz type.