DISCRETE DIRECT MULTIVARIABLE ADAPTIVE CONTROL*

What is it about?

Direct multivariable model reference adaptive control (DMMRAC) procedures have been successfully used for continuous-time systems. Previous discrete versions of the algorithm required apriori knowledge of a stabilizing feedback gain matrix feedback gain matrix for the controlled plant and also an estimate of the ideal model following control in order to guarantee a bounded output tracking error. In this paper, a discrete version of the DMMRAC algorithm is shown to guarantee stability of the adaptive system as well as asymptotically perfect output model following provided that the system satisfies a positive realness condition. No apriori information is needed for implementation.

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