Abstract
This paper studies robust stability analysis problems of sampled-data systems against uncertainties existing in continuous-time plants. We propose to introduce periodically time-varyingscaling to robust stability analysisagainst parametric uncertainties.First, we explain what motivates usto introduce periodically time-varyingscaling to robust stability analysis against parametric uncertainties.Next, we consider periodically time-varying scaling defined througha staircase functionand show a way to determine an optimal staircase functionin the $H_\infty$ norm sense using an LMI optimization technique.We demonstrate by a numerical examplethe effectiveness of applying periodically time-varyingscaling to sampled-data systems.
