離散時間システムのギャランティードコスト制御に関する一考察

概要

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　　Chang and Peng have proposed guaranteed cost control, which is a design procedure of state-feedback systems that guarantees a certain level of linear-quadratic performance for all admissible plant perturbations in a continuous-time system. This method guarantees robust stability, but does not require the matching condition in contrast to other quadratic stability methods. However, the exisitence of a controller is guaranteed only for a restricted class of perturbations. In this paper, we propose guaranteed cost control for a discrete-time system. In Section 3, under the assumption that there exists an upper bound matrix for the perturbations, an algebraic equation which includes the upper bound matrix term is derived. In Section 4, it is shown that if the above equation has a semi-positive definite solution and an obsevability condition is satisfied, the closed-loop system is robust stable.
宮崎大学の論文
2000-09-29