Abstract
In this paper a servomechanism problem is investigated for a distributed parameter system of parabolic type. The servomechanism problem considered here is to design a feedback control system such that the output will tend to a desired constant reference vector as t→∞ even for a system with constant unknown disturbances.
Under some assumptions with respect to input-distribution functions it is shown that there exists a feedback controller which stabilizes and regulates a distributed parameter system. From a practical and applicable point of view, a design procedure of a servomechanism in presented which can be realized in “finite-dimensional” theories and techniques for a “infinite-dimensional” distributed parmeter system. In the design procedure it is nec essary to construct a finite-dimensional observer in order to estimate the system state from measurement data. Some numerical examples are also presented to show the effectiveness of the design procedure.
