On ℓ2 memoryless control of time-delay systems

Vlad Ionescu (1) , Silviu-Iulian Niculescu (2) , Hugo J. Woerdeman

1 UPB - University Politehnica of Bucharest [Romania]
2 OC - Optimisation et commande

This paper focuses on the design of ℓ2 memoryless controllers for a class of uncertain linear systems described by differential equations with delayed state and disturbances. We give sufficient conditions for the design of a memoryless state feedback control law which guarantees the delay-independent closed-loop stability with an ℓ2 norm bound constraint on disturbance attenuation. These conditions are derived in terms of algebraic properties of an adequate matrix pencil via a Lyapunov-Krasovskii functional based approach. The criteria proposed here are less conservative than earlier ones proposed in the literature.

Mots clés: Closed loop control systems; Differential equations; Feedback control; Functions; Linear control systems; Lyapunov methods; Matrix algebra; System stability; Lyapunov-Krasovskii functional; Matrix pencil; Delay control systems

Domaines: Automatique / Robotique

Vlad Ionescu, Silviu-Iulian Niculescu, Hugo J. Woerdeman. On ℓ2 memoryless control of time-delay systems. Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5), Silviu Iulian Niculescu; L Rodman; H Woerdeman, Dec 1997, San Diego, CA, USA, United States. pp.4414-4419. ⟨hal-02301670⟩