Stabilization of systems with asynchronous sensors and controllers

Masashi Wakaiki; Kunihisa Okano; João P. Hespanha

doi:10.1016/j.automatica.2017.04.005

Stabilization of systems with asynchronous sensors and controllers

Masashi Wakaiki, Kunihisa Okano, João P. Hespanha

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

14 Citations (Scopus)

Abstract

We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear systems and provide a sufficient condition for the existence of linear time-invariant controllers that are capable of stabilizing the closed-loop system for every clock offset in a given range of admissible values. For first-order systems, we next obtain the maximum length of the offset range for which the system can be stabilized by a single controller. Finally we illustrate the results with a numerical simulation.

Original language	English
Pages (from-to)	314-321
Number of pages	8
Journal	Automatica
Volume	81
DOIs	https://doi.org/10.1016/j.automatica.2017.04.005
Publication status	Published - Jul 1 2017

Keywords

Clock offsets
Networked control systems
Parametric uncertainty

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2017.04.005

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title = "Stabilization of systems with asynchronous sensors and controllers",

abstract = "We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear systems and provide a sufficient condition for the existence of linear time-invariant controllers that are capable of stabilizing the closed-loop system for every clock offset in a given range of admissible values. For first-order systems, we next obtain the maximum length of the offset range for which the system can be stabilized by a single controller. Finally we illustrate the results with a numerical simulation.",

keywords = "Clock offsets, Networked control systems, Parametric uncertainty",

author = "Masashi Wakaiki and Kunihisa Okano and Hespanha, {Jo{\~a}o P.}",

note = "Funding Information: This material is based upon work supported by the National Science Foundation under Grant No. CNS-1329650. M. Wakaiki acknowledges Murata Overseas Scholarship Foundation for the support of this work. K. Okano is supported by JSPS Postdoctoral Fellowships for Research Abroad. The material in this paper was partially presented at the 2015 American Control Conference, July 1?3, 2015, Chicago, IL, USA. This paper was recommended for publication in revised form by Associate Editor Yasuaki Oishi under the direction of Editor Richard Middleton. Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

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AU - Okano, Kunihisa

AU - Hespanha, João P.

N1 - Funding Information: This material is based upon work supported by the National Science Foundation under Grant No. CNS-1329650. M. Wakaiki acknowledges Murata Overseas Scholarship Foundation for the support of this work. K. Okano is supported by JSPS Postdoctoral Fellowships for Research Abroad. The material in this paper was partially presented at the 2015 American Control Conference, July 1?3, 2015, Chicago, IL, USA. This paper was recommended for publication in revised form by Associate Editor Yasuaki Oishi under the direction of Editor Richard Middleton. Publisher Copyright: © 2017 Elsevier Ltd

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Y1 - 2017/7/1

N2 - We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear systems and provide a sufficient condition for the existence of linear time-invariant controllers that are capable of stabilizing the closed-loop system for every clock offset in a given range of admissible values. For first-order systems, we next obtain the maximum length of the offset range for which the system can be stabilized by a single controller. Finally we illustrate the results with a numerical simulation.

AB - We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear systems and provide a sufficient condition for the existence of linear time-invariant controllers that are capable of stabilizing the closed-loop system for every clock offset in a given range of admissible values. For first-order systems, we next obtain the maximum length of the offset range for which the system can be stabilized by a single controller. Finally we illustrate the results with a numerical simulation.

KW - Clock offsets

KW - Networked control systems

KW - Parametric uncertainty

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VL - 81

SP - 314

EP - 321

JO - Automatica

JF - Automatica

ER -

Stabilization of systems with asynchronous sensors and controllers

Abstract

Keywords

ASJC Scopus subject areas

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