Static output feedback stabilization Necessary conditions for multiple delay controllers

V.L. Kharitonov (1) , Silviu-Iulian Niculescu (2) , J. Moreno (3) , Wim Michiels (4)

1 CINVESTAV-IPN - Departamento de Control Automático
2 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]
3 UNAM - Universidad Nacional Autónoma de México = National Autonomous University of Mexico
4 Department of Computer Science - K.U.Leuven

This note focuses on the static output feedback stabilization problem for a class of single-input-single-output systems when the control law includes multiple (distinct) delays. We are interested in giving necessary conditions for the existence of such stabilizing controllers. Illustrative examples (second-order system, chain of integrators, or chain of oscillators) are presented, and discussed. © 2005 IEEE.

Mots clés: Asymptotic stability; Delay; Quasi-polynomial

Domaines: Automatique / Robotique

V.L. Kharitonov, Silviu-Iulian Niculescu, J. Moreno, Wim Michiels. Static output feedback stabilization Necessary conditions for multiple delay controllers. IEEE Transactions on Automatic Control, 2005, 50 (1), pp.82-86. ⟨10.1109/TAC.2004.841137⟩. ⟨hal-02294305⟩