Abstract
In this paper the sampled-data output feedback linear regulator problem is considered. The sensitivities, with respect to the sampling period, for the sampled-data control systems are computed about the zero sampling period in two cases. In the first case the system is a sampled-data control system using the optimal output feedback gains of the continuous system. The Lyapunov-type matrix equations for the first and second-order sensitivities of the cost matrix are obtained. In the second case the system is an optimal sampled-data output feedback control system. The linear simultaneous matrix equations for the first and second-order sensitivities of the cost matrix and the output feedback gain matrix are derived.
Furthermore, from these results it is concluded that, for the output feedback regulator, the continuous control system does not necessarily give the best cost performance.
