Multivariable Discrete Model Reference Adaptive Control Using an Autoregressive Model with Dead Time of the Plant and Its Application

A new method for designing multivariable model reference adaptive control system is presented. In many adaptive control approaches, at least the following two assumptions regarding the plant have to be made. (1) The number of plant poles and zeros is known. (2) The plant is the minimum phase. The proposed method can avoid these restrictions by using the adaptive controller designed for an autoregressive model with dead time, based on Lyapunov’s direct method. Next, in order to illustrate the effectiveness of this model for the both minimum phase and non-minimum phase plants, the results of computer simulation are given. Finally, the method is successfully applied to the real plant testing the performance of refrigerant compressors.

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