Abstract
This paper deals with the design of a finite-dimensional model reference adaptive controller for a distributed parameter system. The space of inputs and the space of outputs are both one dimensional. First an input—output representation is introduced, using filtered values generated from the inputs and outputs. Next it is shown that we can design a finite-dimensional adaptive control system by a new adaptive law. The new adaptive law guarantees the existence of a large region of attraction from which all signals are bounded and the tracking error converges to a small residual set.
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