Stability Analysis and Output-Feedback Control Design for Time-Delay Systems

Caetano Cardeliquio 1 Matheus Souza 2 André Fioravanti 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : The aim of this paper is to present new results on H ∞ control synthesis, via output-feedback, for time-delay linear systems. We extend the use of the finite order LTI system, called comparison system, to design a controller which depends not only on the output at the present time and maximum delay, but also on an arbitrary number of values between those. This approach allows us to increase the maximum stable delay without requiring any additional information. All methods presented here consider time-delay systems control design with classical numeric routines based on H ∞ theory. An illustrative example is presented.
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Caetano Cardeliquio, Matheus Souza, André Fioravanti. Stability Analysis and Output-Feedback Control Design for Time-Delay Systems. IFAC 2017 - 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. ⟨hal-01679094⟩

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