Hysteresis-based switching algorithms for supervisory control of uncertain systems

João P. Hespanha; Daniel Liberzon; A. Stephen Morse

doi:10.1016/S0005-1098(02)00241-8

Hysteresis-based switching algorithms for supervisory control of uncertain systems

João P. Hespanha, Daniel Liberzon, A. Stephen Morse

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

Abstract

We address the problem of controlling a linear system with unknown parameters ranging over a continuum by means of switching among a finite family of candidate controllers. We present a new hysteresis-based switching logic, designed specifically for this purpose, and derive a bound on the number of switches produced by this logic on an arbitrary time interval. The resulting switching control algorithm is shown to provide stability and robustness to arbitrary bounded noise and disturbances and sufficiently small unmodeled dynamics.

Original language	English (US)
Pages (from-to)	263-272
Number of pages	10
Journal	Automatica
Volume	39
Issue number	2
DOIs	https://doi.org/10.1016/S0005-1098(02)00241-8
State	Published - Feb 2003

Keywords

Linear system
Modeling uncertainty
Supervisory control
Switching logic

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Online availability

10.1016/S0005-1098(02)00241-8

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abstract = "We address the problem of controlling a linear system with unknown parameters ranging over a continuum by means of switching among a finite family of candidate controllers. We present a new hysteresis-based switching logic, designed specifically for this purpose, and derive a bound on the number of switches produced by this logic on an arbitrary time interval. The resulting switching control algorithm is shown to provide stability and robustness to arbitrary bounded noise and disturbances and sufficiently small unmodeled dynamics.",

keywords = "Linear system, Modeling uncertainty, Supervisory control, Switching logic",

author = "Hespanha, {Jo{\~a}o P.} and Daniel Liberzon and Morse, {A. Stephen}",

note = "Funding Information: Research supported by AFOSR, DARPA, NSF, and ONR. This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Thomas Parisini under the direction of Editor Robert R. Bitmead. ",

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AU - Hespanha, João P.

AU - Liberzon, Daniel

AU - Morse, A. Stephen

N1 - Funding Information: Research supported by AFOSR, DARPA, NSF, and ONR. This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Thomas Parisini under the direction of Editor Robert R. Bitmead.

PY - 2003/2

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N2 - We address the problem of controlling a linear system with unknown parameters ranging over a continuum by means of switching among a finite family of candidate controllers. We present a new hysteresis-based switching logic, designed specifically for this purpose, and derive a bound on the number of switches produced by this logic on an arbitrary time interval. The resulting switching control algorithm is shown to provide stability and robustness to arbitrary bounded noise and disturbances and sufficiently small unmodeled dynamics.

AB - We address the problem of controlling a linear system with unknown parameters ranging over a continuum by means of switching among a finite family of candidate controllers. We present a new hysteresis-based switching logic, designed specifically for this purpose, and derive a bound on the number of switches produced by this logic on an arbitrary time interval. The resulting switching control algorithm is shown to provide stability and robustness to arbitrary bounded noise and disturbances and sufficiently small unmodeled dynamics.

KW - Linear system

KW - Modeling uncertainty

KW - Supervisory control

KW - Switching logic

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Hysteresis-based switching algorithms for supervisory control of uncertain systems

Abstract

Keywords

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