Abstract
In the present paper, we study on a control design using parallel compensation technique. Parallel compensation technique is applied to many control design problem such as simple adaptive control, robust control using phase information and the parametrization of all proper stabilizing controllers for minimum phase strictly proper system. The parallel compensation technique is used so as to expand applicable plant of simple adaptive control and robust control using phase information. However the relationship between controllers that is obtained using parallel compensation technique and the parametrization of all stabilizing controllers have never considered. In the present paper, we consider this problem and give the necessary and sufficient condition that the class of controllers that is obtained using parallel compensation technique equal to that of controllers for the plant.
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