Research on the MIMO Minimum Variance Control Stabilization by the Delta-Operator

Abstract

Minimum Variance Control(MVC) is a control system of discrete time often used on the scene. But by discretization, unstable zeros may occur. And a plant becomes a non-minimum phase system, even if it is minimum phase system in continuous time. MVC can not treat a non-minimum phase system. Then, unstable zero is eliminated by introducing the delta operator which approximates discrete time to continuous time and can treat it. This technique can be extended to Multi-Inputs Multi-Outputs(MIMO) systems. This paper uses the decoupling control method called skeletal matrix, because mutual interference may have big influence in control by the MIMO system. A stable MIMO-MVC system is attained by the proposed approach which combines the delta operator and the decoupling method.