L∞ bounded robust control for hybrid systems

Huan Zhang; Matthew R. James

L^∞ bounded robust control for hybrid systems

Huan Zhang, Matthew R. James^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

This paper formulates the L^∞ Bounded (LIB) robustness performance for general hybrid systems described by the unified model. The LIB properties are characterized by the existence of storage functions, which further are characterized by the solutions of a system of analysis dissipation Partial Differential Inequalities (PDIs). The LIB state feedback controller synthesis problem is defined and studied through another system of synthesis PDIs. Both analysis and synthesis PDIs are analyzed in the discontinuous viscosity solution framework.

Original language	English
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4801-4806
Number of pages	6
ISBN (Print)	1424401712, 9781424401710
Publication status	Published - 2006
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006

Publication series

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

Conference

Conference	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	13/12/06 → 15/12/06

Cite this

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title = "L∞ bounded robust control for hybrid systems",

abstract = "This paper formulates the L∞ Bounded (LIB) robustness performance for general hybrid systems described by the unified model. The LIB properties are characterized by the existence of storage functions, which further are characterized by the solutions of a system of analysis dissipation Partial Differential Inequalities (PDIs). The LIB state feedback controller synthesis problem is defined and studied through another system of synthesis PDIs. Both analysis and synthesis PDIs are analyzed in the discontinuous viscosity solution framework.",

keywords = "Differential games, Hybrid systems, LIB, Storage functions, System of dissipation PDIs, Viscosity solutions",

author = "Huan Zhang and James, {Matthew R.}",

year = "2006",

language = "English",

isbn = "1424401712",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4801--4806",

booktitle = "Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC",

address = "United States",

note = "45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",

}

Zhang, H & James, MR 2006, L^∞ bounded robust control for hybrid systems. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177275, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4801-4806, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 13/12/06.

L^∞ bounded robust control for hybrid systems. / Zhang, Huan; James, Matthew R.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 4801-4806 4177275 (Proceedings of the IEEE Conference on Decision and Control).

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

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AU - Zhang, Huan

AU - James, Matthew R.

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N2 - This paper formulates the L∞ Bounded (LIB) robustness performance for general hybrid systems described by the unified model. The LIB properties are characterized by the existence of storage functions, which further are characterized by the solutions of a system of analysis dissipation Partial Differential Inequalities (PDIs). The LIB state feedback controller synthesis problem is defined and studied through another system of synthesis PDIs. Both analysis and synthesis PDIs are analyzed in the discontinuous viscosity solution framework.

AB - This paper formulates the L∞ Bounded (LIB) robustness performance for general hybrid systems described by the unified model. The LIB properties are characterized by the existence of storage functions, which further are characterized by the solutions of a system of analysis dissipation Partial Differential Inequalities (PDIs). The LIB state feedback controller synthesis problem is defined and studied through another system of synthesis PDIs. Both analysis and synthesis PDIs are analyzed in the discontinuous viscosity solution framework.

KW - Differential games

KW - Hybrid systems

KW - LIB

KW - Storage functions

KW - System of dissipation PDIs

KW - Viscosity solutions

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M3 - Conference contribution

SN - 1424401712

SN - 9781424401710

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4801

EP - 4806

BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 45th IEEE Conference on Decision and Control 2006, CDC

Y2 - 13 December 2006 through 15 December 2006

ER -

L^∞ bounded robust control for hybrid systems

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