The Multiple Performance Optimizing Index for Feedback Controller

It is shown that a good optmization performance index of a system should have three properties: representability, calculability, and compatibility. In this paper, a functional optimizing index is given, which really has representability, calculability, and compatibility, and can be used for designing gain state feedback, gain output feedback, or dynamic compensator feedback to improve multiple performance of the control system simultaneously, such as closed-loop system robust stability, global regulation performance, H
_∞
-insensitivity, and the location of pole placement.