Lower bounds on the maximum delay margin by analytic interpolation

Abstract

We study the delay margin problem in the context of recent works by T. Qi, J. Zhu, and J. Chen, where a sufficient condition for the maximal delay margin is formulated in terms of an interpolation problem obtained after introducing a rational approximation. Instead we omit the approximation step and solve the same problem directly using techniques from function theory and analytic interpolation. Furthermore, we introduce a constant shift in the domain of the interpolation problem. In this way we are able to improve on their lower bound for the maximum delay margin.

arXiv comment7 pages, minor revision, accepted for 57th IEEE Conference on Decision and Control (CDC 2018)

Cited by in corpus (1)

• An analytic interpolation approach to stability margins with emphasis on time delay