Title :
Stabilization of linear time-delay systems by three-term controllers
Author :
Mahmoud, Magdi S.
Author_Institution :
Syst. Eng. Dept., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
Abstract :
A new delay-dependent stabilization scheme is provided for a class of linear time-delay (LTD) systems based on proportional-integral-derivative (PID) Hinfin feedback. The time-delay is a differentiable time-varying function satisfying some bounding relations. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrized characterization for proportional-integral-derivative (PID) feedback stabilization is established in terms of feasibility-testing of LMIs. A numerical example is provided to illustrate the theoretical developments.
Keywords :
Hinfin control; Lyapunov methods; delays; feedback; linear matrix inequalities; linear systems; three-term control; Hinfin feedback; LMI; Lyapunov-Krasovskii functional; delay-dependent stabilization scheme; feedback stabilization; linear systems stabilization; proportional-integral-derivative control; three-term controllers; time-delay systems stabilization; time-varying function; Control systems; Delay; Linear feedback control systems; Linear matrix inequalities; Pi control; Proportional control; Stability; Symmetric matrices; Systems engineering and theory; Three-term control;
Conference_Titel :
Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE
Conference_Location :
Saint Petersburg
Print_ISBN :
978-1-4244-4601-8
Electronic_ISBN :
978-1-4244-4602-5
DOI :
10.1109/CCA.2009.5281149
