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Sensitivity minimization by stable controllers for a class of unstable time-delay systems

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arxiv 2003.01651 v1 pith:HKBI2HEY submitted 2020-03-03 eess.SY cs.SY

Suat Gumussoy , Hitay Ozbay This is my paper · ORCID
classification eess.SYcs.SY
keywords sensitivitysystemsunstableclassdelayminimizationproblemstable
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In this paper sensitivity minimization problem is considered for a class of unstable time delay systems. Our goal is to find a stable controller stabilizing the feedback system and giving rise to smallest H-infinity norm for the sensitivity function. This problem has been solved by Ganesh and Pearson (1986) for finite dimensional plants using Nevanlinna-Pick interpolation. We extend their technique to include possibly unstable time delay systems. Moreover, we illustrate suboptimal solutions, and their robust implementation.

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