Stabilization of time-delay systems by PID controllers

Author

Mahmoud, Magdi S.

Author_Institution

Syst. Eng. Dept., King Fahd Univ. of Pet. & Miner., Dhahran

fYear

2009

fDate

23-26 March 2009

Firstpage

1

Lastpage

6

Abstract

In this paper, we provide a new delay-dependent stabilization scheme 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 characterizations for proportional-integral-derivative (PID) feedback stabilization is establish in terms of feasibility-testing of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the theoretical developments.

Keywords

H^infin control; Lyapunov methods; delays; linear matrix inequalities; stability; three-term control; Lyapunov-Krasovskii functional; PID controllers; differentiable time-varying function; linear matrix inequalities; linear time-delay systems; proportional-integral-derivative H_infin feedback; proportional-integral-derivative feedback stabilization; time-delay system stabilization; Control system analysis; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Power system modeling; Stability; State feedback; Symmetric matrices; Three-term control; H∞ stabilization; LMIs; Proportional-integral-derivative feedback; Time-delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Signals and Devices, 2009. SSD '09. 6th International Multi-Conference on

Conference_Location

Djerba

Print_ISBN

978-1-4244-4345-1

Electronic_ISBN

978-1-4244-4346-8

Type

conf

DOI

10.1109/SSD.2009.4956723

Filename

4956723