抄録
Recently, a large number of design methods for model reference adaptive control system (MRACS) have been proposed by researchers of stability theorems. MRACS is today one of the most feasible approaches for practical implementation of adaptive control systems. However, there have been few papers which deal with MRACS for bilinear systems.
In this paper, a design method of discrete MRACS for single-input single-output bilinear systems with time-delay is proposed based on Lyapunov's stability theorem. It is shown that the proposed adaptive algorithms guarantee the convergency of the plant's output to the reference sequence through a simple procedure. 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 examples.
