A note on frequency domain interpretation of Lyapunov-Krasovskii method in control of linear delay systems

P.-A. Bliman (1) , Silviu-Iulian Niculescu (2)

1 INRIA Rocquencourt
2 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]

This note focuses on some frequency-domain interpretations of the Lyapunov-Krasovskii method used in the analysis and design of delay systems. Parametrized model transformations, H∞ delay-dependent/delay-independent and multicriteria control problems are revisited, and the corresponding (stability and control) results are relaxed. The idea is based on an appropriate interpretation of decoupling properties in a delay-dependent framework.

Mots clés: Closed loop control systems; Control system analysis; Control system synthesis; Frequency domain analysis; Linear control systems; Lyapunov methods; Mathematical models; Parameter estimation; Linear delay system; Lyapunov-Krasovskii method; Parametrized model transformation; Delay control systems

Domaines: Automatique / Robotique

P.-A. Bliman, Silviu-Iulian Niculescu. A note on frequency domain interpretation of Lyapunov-Krasovskii method in control of linear delay systems. American Control Conference, Jun 2001, Arlington, United States. pp.1461-1466, ⟨10.1109/ACC.2001.945930⟩. ⟨hal-02295743⟩