摘要:AbstractThis paper is concerned with robust output estimator synthesis for discrete-time linear periodically time-varying (LPTV) systems with uncertainties. To evaluate robustness of estimation, we exploit the separator-type robust stability theorem under the cycling-based treatment of LPTV systems; we call such an approach for robustness analysis cycling-based LPTV scaling. Then, we derive a linear matrix inequality condition for robust estimator synthesis. A noteworthy property of our cycling-based synthesis approach is that we can predetermine the estimator period in the synthesis regardless of the system period, which is difficult to achieve in the case with the lifting-based treatment of LPTV systems.