Summary: | A general system for controlling an unknown process by adjusting compensation networks is discussed. The control operation is divided into two parts, that of identification of the unknown process dynamics and that of adaption by adjusting the compensation networks. Both operations are carried out by the method of steepest descent, using a suitable error signal as a performance function. A general method of investigation is considered, which is applicable to all systems of this type. The systems are classified as Type I and Type II; it is shown that a Type I system is stable for all input signals and initial conditions. The systems which are not of Type I are designated as Type II and it is shown that the behaviour of Type II systems can be approximated by that of a Type I system in the neighbourhood of the optimum point of operation. These results are applied to investigating the behaviour of a number of controllers and identification systems. === Applied Science, Faculty of === Electrical and Computer Engineering, Department of === Graduate
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