Abstract
This paper proposes a new self-tuning controller having a new design parameter. In selecting the design parameter, the controller gives a strongly stable self-tuning controller, that is, not only the closed-loop system is stable, but also the controller itself is stable.The controller consists of a generalized minimum variance controller and a parameter identification law. The proposed controller has an extended minimum variance controller with a newly introduced design parameter. The parameter is introduced by applying the coprime factorization approach and Youla parametrization of stabilizing compensators to the design of minimum variance controller.