On sampling period sensitivities of the optimal stationary sampled-data linear regulator

Abstract

In this paper the stationary sampled-data linear regulator is considered. The third and fourth-order sensitivities, about the zero sampling period, of the cost matrix and the third-order sensitivity of the feedback gain matrix are computed. Also the first and second-order sensitivities, about an arbitrary sampling period, of the cost and feedback gain matrices are computed. Moreover, the relationships between the cost matrix sensitivities and the feedback gain matrix sensitivities are made clear.