Abstract
This paper investigates an optimization problem of a class of distributed parameter systems with spatially concentrated controls whose positions, as well as control magnitudes, are assumed to be changeable in the spatial domain.
The following two cases are discussed.
(1) In a control period, the control positions can be movable with time in the defined domain, and also the control magnitudes can be changeable.
(2) The control positions must be selected optimally before the controls are applied.
For the both cases, the necessary conditions for optimality are derived by the use of a variational method. An example is shown to illustrate the effect of moving control positions and the result shows an improvement in the performance index compared with the system with fixed control positions.
