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
Volume10
EditionPART 1
DOIs
StatePublished - 2012
Event10th IFAC Workshop on Time Delay Systems, TDS-2012 - Boston, MA, United States
Duration: Jun 22 2012Jun 24 2012

Other

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

Fingerprint

Time delay
Closed loop systems
Nonlinear equations
Feedback control
Large scale systems
Controllers

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., Vol. 10, pp. 219-224) https://doi.org/10.3182/20120622-3-US-4021.00012

Decentralized iISS robustification of interconnected time-delay systems : A small-gain approach. / Ito, Hiroshi; Pepe, Pierdomenico; Jiang, Zhong-Ping.

Book of Abstracts - 10th IFAC Workshop on Time Delay Systems, TDS-2012. Vol. 10 PART 1. ed. 2012. p. 219-224.

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

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 edn, vol. 10, pp. 219-224, 10th IFAC Workshop on Time Delay Systems, TDS-2012, Boston, MA, United States, 6/22/12. https://doi.org/10.3182/20120622-3-US-4021.00012
Ito H, Pepe P, Jiang Z-P. 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. Vol. 10. 2012. p. 219-224 https://doi.org/10.3182/20120622-3-US-4021.00012
Ito, Hiroshi ; Pepe, Pierdomenico ; Jiang, Zhong-Ping. / Decentralized iISS robustification of interconnected time-delay systems : A small-gain approach. Book of Abstracts - 10th IFAC Workshop on Time Delay Systems, TDS-2012. Vol. 10 PART 1. ed. 2012. pp. 219-224
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