A passivity-based approach to reset control systems stability

Joaquín Carrasco; Alfonso Baños; Arjan van der Schaft

doi:10.1016/j.sysconle.2009.10.009

A passivity-based approach to reset control systems stability

Joaquín Carrasco
, Alfonso Baños
, Arjan van der Schaft

Research output: Contribution to journal › Article › peer-review

Abstract

The stability of reset control systems has been mainly studied for the feedback interconnection of reset compensators with linear time-invariant systems. This work gives a stability analysis of reset compensators in feedback interconnection with passive nonlinear systems. The results are based on the passivity approach to L2-stability for feedback systems with exogenous inputs, and the fact that a reset compensator will be passive if its base compensator is passive. Several examples of full and partial reset compensations are analyzed, and a detailed case study of an in-line pH control system is given. © 2009 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	18-24
Number of pages	6
Journal	Systems and Control Letters
Volume	59
Issue number	1
DOIs	https://doi.org/10.1016/j.sysconle.2009.10.009
Publication status	Published - Jan 2010

Keywords

Hybrid systems
Impulsive systems
Passive systems
Reset control systems
Stability of hybrid systems

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10.1016/j.sysconle.2009.10.009

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title = "A passivity-based approach to reset control systems stability",

abstract = "The stability of reset control systems has been mainly studied for the feedback interconnection of reset compensators with linear time-invariant systems. This work gives a stability analysis of reset compensators in feedback interconnection with passive nonlinear systems. The results are based on the passivity approach to L2-stability for feedback systems with exogenous inputs, and the fact that a reset compensator will be passive if its base compensator is passive. Several examples of full and partial reset compensations are analyzed, and a detailed case study of an in-line pH control system is given. {\textcopyright} 2009 Elsevier B.V. All rights reserved.",

keywords = "Hybrid systems, Impulsive systems, Passive systems, Reset control systems, Stability of hybrid systems",

author = "Joaqu{\'i}n Carrasco and Alfonso Ba{\~n}os and \{van der Schaft\}, Arjan",

year = "2010",

month = jan,

doi = "10.1016/j.sysconle.2009.10.009",

language = "English",

volume = "59",

pages = "18--24",

journal = "Systems and Control Letters",

issn = "0167-6911",

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T1 - A passivity-based approach to reset control systems stability

AU - Carrasco, Joaquín

AU - Baños, Alfonso

AU - van der Schaft, Arjan

PY - 2010/1

Y1 - 2010/1

N2 - The stability of reset control systems has been mainly studied for the feedback interconnection of reset compensators with linear time-invariant systems. This work gives a stability analysis of reset compensators in feedback interconnection with passive nonlinear systems. The results are based on the passivity approach to L2-stability for feedback systems with exogenous inputs, and the fact that a reset compensator will be passive if its base compensator is passive. Several examples of full and partial reset compensations are analyzed, and a detailed case study of an in-line pH control system is given. © 2009 Elsevier B.V. All rights reserved.

AB - The stability of reset control systems has been mainly studied for the feedback interconnection of reset compensators with linear time-invariant systems. This work gives a stability analysis of reset compensators in feedback interconnection with passive nonlinear systems. The results are based on the passivity approach to L2-stability for feedback systems with exogenous inputs, and the fact that a reset compensator will be passive if its base compensator is passive. Several examples of full and partial reset compensations are analyzed, and a detailed case study of an in-line pH control system is given. © 2009 Elsevier B.V. All rights reserved.

KW - Hybrid systems

KW - Impulsive systems

KW - Passive systems

KW - Reset control systems

KW - Stability of hybrid systems

U2 - 10.1016/j.sysconle.2009.10.009

DO - 10.1016/j.sysconle.2009.10.009

M3 - Article

SN - 0167-6911

VL - 59

SP - 18

EP - 24

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 1

ER -

A passivity-based approach to reset control systems stability

Abstract

Keywords

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