Decentralized iISS robustification of interconnected time-delay systems: A small-gain approach

Hiroshi Ito, Pierdomenico Pepe, Zhong Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we consider the ISS (input-to-state stability) and iISS (integral input-to-state stability) feedback control redesign for interconnected systems described by retarded nonlinear equations with discontinuous right-hand side. We show that it is possible to design a decentralized controller by which the overall closed-loop system is iISS (ISS) with respect to additive disturbances acting on each subsystem whenever the disturbance-free closed-loop system satisfies a small-gain condition.

Original languageEnglish (US)
Title of host publicationBook of Abstracts - 10th IFAC Workshop on Time Delay Systems, TDS-2012
Pages219-224
Number of pages6
EditionPART 1
DOIs
StatePublished - Sep 17 2012
Event10th IFAC Workshop on Time Delay Systems, TDS-2012 - Boston, MA, United States
Duration: Jun 22 2012Jun 24 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume10
ISSN (Print)1474-6670

Other

Other10th IFAC Workshop on Time Delay Systems, TDS-2012
CountryUnited States
CityBoston, MA
Period6/22/126/24/12

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Keywords

  • Integral input-to-state stability
  • Nonlinear discontinuous systems
  • Redesign
  • Time delay

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Ito, H., Pepe, P., & Jiang, Z. P. (2012). Decentralized iISS robustification of interconnected time-delay systems: A small-gain approach. In Book of Abstracts - 10th IFAC Workshop on Time Delay Systems, TDS-2012 (PART 1 ed., pp. 219-224). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 10, No. PART 1). https://doi.org/10.3182/20120622-3-US-4021.00012