Two approaches to min-max feedback control and design of uncertain systems

Abstract

In designing control systems with optjmal performance parameter variations pose a great problem. In prjnciple, it is possible to attain an ideal performance by sensing the uncertain parameters and using an adaptive controller. But such controllers are usually difficult or expensive to realize and there is a strong motivation for considering simpler controllers. The simpler control strategy under parameter uncertajnty is the min-max controller which operate the system according to one control law that minimizes the maximum varjations from the optima corresponding to each parameter. There exist various methods to find the parameters of the min-max controller. In this study two approaches have beeh considered to find the min-max controller parameters: iterative or search procedure, and game theoretic approach.