Estimation of Robust Invariant Sets for Periodic Time-variant Discrete Time Systems Using Sequential State Updates and Invariant Ellipses

Abstract

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.