Control of Systems with Infinitely Many Unstable Modes and Strongly Stabilizing Controllers Achieving a Desired Sensitivity
Systems and Control
2020-03-03 v1 Systems and Control
Abstract
In this paper we consider a class of linear time invariant systems with infinitely many unstable modes. By using the parameterization of all stabilizing controllers, we show that H-infinity controllers for such systems can be computed using the techniques developed earlier for infinite dimensional plants with finitely many unstable modes. We illustrate connections between the problem solved here and an indirect method for strongly stabilizing H-infinity controller design for systems with time delays.
Keywords
Cite
@article{arxiv.2003.01003,
title = {Control of Systems with Infinitely Many Unstable Modes and Strongly Stabilizing Controllers Achieving a Desired Sensitivity},
author = {Suat Gumussoy and Hitay Ozbay},
journal= {arXiv preprint arXiv:2003.01003},
year = {2020}
}
Comments
Proceedings of the 15th International Symposium on Mathematical Theory of Network and Systems, pp. 1-10, 2002