Gain scheduling using the Youla parameterization

Abstract

Gain scheduling controllers are considered in this paper. The gain scheduling problem where the scheduling parameter vector θ cannot be measured directly, but needs to be estimated is considered. An estimation of the scheduling vector θ has been derived by using the Youla parameterization. The use of the Youla parameterization in connection with estimation of θ directly gives a validation method for the estimate of θ. The validation part is an integrated part of the estimation method. This will make it possible to estimate the parameter vector θ very precisely. This is important in connection with H∞ gain scheduling controllers.