Model reference adaptive control for distributed parameter systems of parabolic type by finite dimensional controller

The problems of constructing model reference adaptive control systems for distributed parameter systems of the parabolic type are considered. Although the distributed parameter systems are infinite-dimensional, the proposed control scheme is constructed from finite-dimensional compensators instead of infinite-dimensional ones. It is shown that the resulting control systems are uniformly bounded for any bounded reference signal which the output of the process must follow, and that the tracking error converges to a small residual region whose amplitude is determined freely. Some simulation results are presented which show the effectiveness and simplicity of the proposed method