Title :
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
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399650
