Control of nonlinear systems with time delay

Author

Jankovic, Mrdjan

Author_Institution

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

Volume

5

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

4545

Abstract

The concept of control Lyapunov functions (CLF) has recently been extended to time delay system in the form of control Lyapunov-Razumikhin functions (CLRF) and control Lyapunov-Krasovsky functionals (CLKF). If a CLKF is known for a nonlinear time delay system, several stabilizing control laws can be constructed using one of the universal formulas derived for CLFs. In this paper we establish a generic sufficient condition for stabilization using the domination redesign formula. The proof of stability requires that the CLKF be augmented, but the construction of the augmentation term is not needed for control design. The results are illustrated on a model of a stirred tank reactor with recycling.

Keywords

Lyapunov methods; asymptotic stability; chemical reactors; control system synthesis; delay systems; delays; nonlinear control systems; robust control; control Lyapunov-Krasovsky functions; control Lyapunov-Razumikhin functions; control design; control system synthesis; domination redesign formula; nonlinear control systems; nonlinear time delay system; robust control; stabilization; stirred tank reactor; Control design; Control systems; Delay effects; Inductors; Lyapunov method; Nonlinear control systems; Nonlinear systems; Recycling; Stability; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272267

Filename

1272267