Design of Stabilizing Controllers With a Dynamic Gain for Feedforward Nonlinear Time-Delay Systems

Author

Zhang, Xianfu ; Baron, Luc ; Liu, Qingrong ; Boukas, El-Kebir

Author_Institution

Shandong Provincial Key Lab. of Intell. Buildings Technol., Shandong Jianzhu Univ., Jinan, China

Volume

56

Issue

3

fYear

2011

fDate

3/1/2011 12:00:00 AM

Firstpage

692

Lastpage

697

Abstract

In this technical note, constructive control techniques have been proposed for controlling feedforward nonlinear time-delay systems. The nonlinear terms admit an incremental rate depending on the input or delayed input. Based on the Lyapunov-Razumikhin theorem and Lyapunov-Krasovskii theorem, the delay-independent feedback controllers are explicitly constructed such that the closed-loop systems are globally asymptotically stable. An example is given to demonstrate the effectiveness of the proposed design procedure.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; control system synthesis; delays; feedback; feedforward; nonlinear control systems; Lyapunov-Krasovskii theorem; Lyapunov-Razumikhin theorem; asymptotic stability; closed-loop systems; constructive control techniques; controller design; delay-independent feedback controllers; design procedure; dynamic gain; feedforward nonlinear time-delay systems; Dynamic gain controllers; Lyapunov method; feedforward systems; time-delay systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2010.2097150

Filename

5658115