Abstract
A large number of design method for a model reference adaptive control system (MRACS) have been proposed recently by the researchers of stability theorems. The MRACS is today one of the most feasible approaches for the practical implementation of adaptive control system. However, few papers have so far dealt with design method and stability of the MRACS for a plant with unknown time-delays.
In this paper, a design method for discrete MRACS for single-input single-output system with unknown time-delay is proposed based on plant-input representation. It is shown that the proposed adaptive algorithms gurantee the convergency of the plant's output to the reference sequence by introducing an auxiliary input signal and pole assignment method. For the adaptive algorithms proposed here, only available input-output data of the plant are used, using no anticipative value of the plant output and information on unknown plant parameters. Finally, the validity of the proposed adaptive algorithms is illustrated by numerical example.
