Title :
On L2 memoryless control of time-delay systems
Author :
Ionescu, Vlad ; Niculescu, Silviu-Iulian ; Woerdeman, Hugo J.
Author_Institution :
Fac. of Autom. Control & Comput., Univ. Politehnica Bucharest, Romania
Abstract :
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
Keywords :
H∞ control; Popov criterion; asymptotic stability; closed loop systems; control system synthesis; delay systems; linear systems; matrix algebra; memoryless systems; state feedback; uncertain systems; H∞ control; L2 memoryless control; Lyapunov-Krasovskii function; Popov theory; asymptotic stability; closed-loop systems; differential equations; disturbance attenuation; linear systems; matrix pencil; state feedback; sufficient conditions; time-delay systems; uncertain systems; Automatic control; Control systems; Delay systems; Differential equations; Linear systems; Riccati equations; Stability; State feedback; Sufficient conditions; Uncertainty;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.649612
