A simple redesign of adaptive control for distributed parameter systems of hyperbolic type by finite dimensional controllers

A simple design method of adaptive control for distributed parameter systems of hyperbolic type, is considered in the present manuscript. It is shown that the finite dimensional adaptive control schemes are constructed without complicated control structures and without time-derivative of output errors, and that semi-global stability of the control system is assured. High-gain observers are introduced to simplify the overall control structures, and nonlinear damping feedback schemes are employed so as to stabilize infinite dimensional modes.