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Model reference adaptive control of 2-D systems via wave advanced model

This paper considers the problem of adaptive control of two-dimensional (2-D) systems in a general case; where both of the 2-D space coordinates are possibly unbounded. The problem is formulated via 1-D wave advanced model. By this, our 2-D problem is converted to a 1-D problem, which is the adaptive control of the wave advanced model. Utilizing the well known 1-D model reference approach, an adaptive technique is obtained to control the wave advanced model and consequently to control our 2-D system. The convergence of the presented scheme is analyzed. The computer simulation results are included to illustrate the effectiveness of the proposed procedure.