Nonlinear stabilization through long input delay—Part III: Linearizable strict-feedforward systems

Author

Krstic, Miroslav

Author_Institution

Dept. of Mech. & Aerosp. Eng., Univ. of California, San Diego, La Jolla, CA, USA

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

7339

Lastpage

7344

Abstract

In the presence of long input delay, global stabilization is possible for all nonlinear systems that are forward complete. Within this class, globally stabilizing feedback laws can be derived explicitly for systems within the class of strict-feedforward systems. These results are contained in companion papers of the present paper. In the present paper we focus on the feedback linearizable subclass of strict-feedforward systems. For this class we go a step further and, in addition to deriving explicit nonlinear infinite-dimensional feedback laws for global stabilization, we also derive the formulae for closed-loop solutions. We include a second-order example for which closed-loop solutions are given analytically and graphically.

Keywords

closed loop systems; delays; feedback; feedforward; linearisation techniques; nonlinear control systems; stability; closed loop system; global stabilization; linearizable strict feedforward systems; long input delay; nonlinear infinite dimensional feedback laws; nonlinear stabilization; nonlinear systems; second-order system; Backstepping; Delay effects; Delay lines; Feedback; Integral equations; Linear systems; Nonlinear systems; Signal design; Signal generators; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399650

Filename

5399650