Design Method of Generalized Minimum Variance Control Using Strong Stability Rate

This paper proposes a design method of generalized minimum variance control (GMVC) using strong stability rate. Strong stability rate is a novel and simple concept for plant safety, and it is defined by ratio of the open-loop gain and the closed-loop gain of controlled system through YoulaKucera parametrization. For safety, it is desirable that the open-loop output is closer to the closed-loop output even if feedback signal becomes zero by accident. In other words, ratio of open-loop gain and closed-loop gain plays an important role for safety. Therefore this paper extends GMVC using coprime factorization and designs strongly stable GMVC with strong stability rate. A numerical example is given in order to verify the validity of the proposed method.