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

fYear

2009

Firstpage

296

Lastpage

301

Abstract

A new delay-dependent stabilization scheme is provided for a class of linear time-delay (LTD) systems based on proportional-integral-derivative (PID) H_infin 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

H^infin control; Lyapunov methods; delays; feedback; linear matrix inequalities; linear systems; three-term control; H_infin 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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CCA.2009.5281149

Filename

5281149