状態更新と不変楕円体を併用した離散時間周期時変システムに対するロバスト不変集合の解析

抄録

In this paper, we analyze robust invariant set for peak-constrained disturbances. In the case of the periodically time-varying system, its performance is more difficult to analyze the robust invariant set accurately than that of the linear time-invariant system. We propose a method to improve the accuracy of estimating robust invariant set by using a combination of sequential state updates and invariant ellipses in a previous study. In this paper, we apply the method to a periodically time-varying system and verify its effectiveness.