Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems

P. Pepe; H. Ito; Z. P. Jiang

doi:10.1109/CDC.2014.7039546

Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems

P. Pepe, H. Ito, Z. P. Jiang

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we provide a constructive methodology for the design of decentralized control laws for a class of interconnected retarded systems subject to actuator disturbances. We consider Control Lyapunov-Krasovskii functionals for only subsystems, thus reducing the difficulty with respect to finding an overall functional, and then provide a controller which, by means of a small-gain condition, guarantees practical input-to-state stability with respect to disturbances. If the disturbances are bounded, the controller allows to drive the system variables to any small neighborhood of the origin, by suitably tuning a control parameter.

Original language	English (US)
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1209-1214
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039546
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: Dec 15 2014 → Dec 17 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	12/15/14 → 12/17/14

Keywords

Control Lyapunov-Krasovskii Functionals
Input-to-State Stability
Nonlinear Systems
Retarded Functional Differential Equations
Small-Gain Theorem

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2014.7039546

Cite this

Pepe, P., Ito, H., & Jiang, Z. P. (2014). Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 1209-1214). Article 7039546 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7039546

Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems. / Pepe, P.; Ito, H.; Jiang, Z. P.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1209-1214 7039546 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Pepe, P, Ito, H & Jiang, ZP 2014, Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7039546, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 1209-1214, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 12/15/14. https://doi.org/10.1109/CDC.2014.7039546

Pepe P, Ito H, Jiang ZP. Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems. In 53rd IEEE Conference on Decision and Control,CDC 2014. February ed. Institute of Electrical and Electronics Engineers Inc. 2014. p. 1209-1214. 7039546. (Proceedings of the IEEE Conference on Decision and Control; February). doi: 10.1109/CDC.2014.7039546

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Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems

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Keywords

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