Control of Systems with Infinitely Many Unstable Modes and Strongly\n Stabilizing Controllers Achieving a Desired Sensitivity

2020/03/02 by Suat Gümüşsoy, Hitay Özbay, Gumussoy, Suat +1
Engineering · #Control and Stability of Dynamical Systems #FOS: Electrical engineering #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2003.01003

openalex publication_date 2020/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider a class of linear time invariant systems with\ninfinitely many unstable modes. By using the parameterization of all\nstabilizing controllers, we show that H-infinity controllers for such systems\ncan be computed using the techniques developed earlier for infinite dimensional\nplants with finitely many unstable modes. We illustrate connections between the\nproblem solved here and an indirect method for strongly stabilizing H-infinity\ncontroller design for systems with time delays.\n

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