Abstract
In this paper the sensitivity synthesis of optimal control is extended to distributed parameter systems.
Sensitivity functions and sensitivity equations are, at first, defined and derived for the three types of system parameter variations, that is, the ordinary system parameter variation, the variation of initial conditions and the variation of time delay parameter.
Next it is pointed out that the concept of the combined system which consists of a model system and its parameter sensitivity equation plays an important role in the sensitivity synthesis of optimal control.
After the definition and the explicit condition of controllability of the systems governed by simultaneous linear partial differential equations are discussed, the controllability and the uncontrollability of the combined system are analyzed.
At last the sensitivity synthesis of optimal control is introduced into the problem of terminal control in order that the terminal constraints are satisfied in spite of the parameter variations. Comparing with the conventional synthesis, the effectiveness of the sensitivity synthesis is demonstrated by giving simple examples.
