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Global Regulation of Time-Delay Cascade Systems via Partial State Feedback**This work was supported in part by Key Project of NSFC under Grant 61533009, 61273141 and 2014CB046406, 111 Project (B08015), Research Projects (KQC201105300002A), (JCY201303291521257) and (JCYJ20150403161923519).

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016 English Publisher:Elsevier BVJournal:IFAC-PapersOnLine, volume 49, pages 1-6 (issn: 2405-8963,

Authors: Xu Zhang; Yan Lin; Wei Lin;

doi: 10.1016/j.ifacol.2016.10.130

Global Regulation of Time-Delay Cascade Systems via Partial State Feedback**This work was supported in part by Key Project of NSFC under Grant 61533009, 61273141 and 2014CB046406, 111 Project (B08015), Research Projects (KQC201105300002A), (JCY201303291521257) and (JCYJ20150403161923519).

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Abstract

Abstract: The problem of global stabilization is studied by partial state feedback for a class of cascade systems with time-delay. Under suitable ISS conditions on inverse dynamics, a delay-free, dynamic partial state feedback compensator is designed to achieve global state regulation. This is made possible by developing a dynamic gain based design method, together with the ideas of changing supply rates and backstepping. By constructing appropriate Lyapunov-Krasovskii functionals, we prove that all the states of the time-delay cascade system can be regulated to the origin while maintaining boundedness of the closed-loop system.

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