Stabilization of nonlinear time delay systems with delay-independent feedback

Author

Jankovic, Mrdjan

Author_Institution

Ford Res. & Adv. Eng., Dearborn, MI, USA

fYear

2005

fDate

8-10 June 2005

Firstpage

4253

Abstract

The concept of control Lyapunov functions and its extension to control Lyapunov-Razumikhin functions (CLRF) has proven a useful tool for designing robust control laws for nonlinear systems. In particular, CLRF based domination redesign can be used to robustly stabilize nonlinear time-delay systems. In this paper, we explore the possibility of using the domination redesign to obtain stabilizing control laws that do not depend on the past state values. The advantages are simpler implementation, robustness to uncertainty in the delay, and the possibility to "back-step" the stabilizing controller for a subsystem through an integrator or a chain of integrators.

Keywords

Lyapunov methods; control system synthesis; delay systems; delays; feedback; nonlinear systems; robust control; CLRF; control Lyapunov function; control Lyapunov-Razumikhin function; delay-independent feedback; integrators; nonlinear system; nonlinear time delay system; robust control law; stabilizing controller; Control systems; Delay effects; Delay systems; Feedback; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust control; Robustness; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2005. Proceedings of the 2005

ISSN

0743-1619

Print_ISBN

0-7803-9098-9

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2005.1470647

Filename

1470647