Robust Output Regulation: Optimization-Based Synthesis and Event-Triggered Implementation

Mohammad Saeed Sarafraz; Anton V. Proskurnikov; Mohammad Saleh Tavazoei; Peyman Mohajerinesfahani

doi:10.1109/TAC.2021.3097285

Robust Output Regulation: Optimization-Based Synthesis and Event-Triggered Implementation

Mohammad Saeed Sarafraz, Anton V. Proskurnikov, Mohammad Saleh Tavazoei, Peyman Mohajerinesfahani

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Abstract

In this article, we investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the other variables bounded. We consider uncertain systems that are possibly nonlinear and the uncertainty of their linear parts is modeled element wise through a parametric family of matrix boxes. An optimization-based design procedure is proposed that delivers a continuous-time control and estimates the maximal regulation error. We also analyze an event-triggered emulation of this controller, which can be implemented on a digital platform, along with an explicit estimate of the regulation error.

Original language	English
Pages (from-to)	3529-3536
Journal	IEEE Transactions on Automatic Control
Volume	67
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2021.3097285
Publication status	Published - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

element-wise uncertainty
event-triggered control
Measurement uncertainty
Optimization
optimization-based synthesis
Regulation
Robust control
Symmetric matrices
System dynamics
Uncertainty

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10.1109/TAC.2021.3097285

Robust_Output_Regulation_Optimization-Based_Synthesis_and_Event-Triggered_ImplementationFinal published version, 458 KB

Cite this

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title = "Robust Output Regulation: Optimization-Based Synthesis and Event-Triggered Implementation",

abstract = "In this article, we investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the other variables bounded. We consider uncertain systems that are possibly nonlinear and the uncertainty of their linear parts is modeled element wise through a parametric family of matrix boxes. An optimization-based design procedure is proposed that delivers a continuous-time control and estimates the maximal regulation error. We also analyze an event-triggered emulation of this controller, which can be implemented on a digital platform, along with an explicit estimate of the regulation error.",

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note = "Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.",

year = "2022",

doi = "10.1109/TAC.2021.3097285",

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AU - Proskurnikov, Anton V.

AU - Tavazoei, Mohammad Saleh

AU - Mohajerinesfahani, Peyman

N1 - Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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N2 - In this article, we investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the other variables bounded. We consider uncertain systems that are possibly nonlinear and the uncertainty of their linear parts is modeled element wise through a parametric family of matrix boxes. An optimization-based design procedure is proposed that delivers a continuous-time control and estimates the maximal regulation error. We also analyze an event-triggered emulation of this controller, which can be implemented on a digital platform, along with an explicit estimate of the regulation error.

AB - In this article, we investigate the problem of practical output regulation, i.e., to design a controller that brings the system output in the vicinity of a desired target value while keeping the other variables bounded. We consider uncertain systems that are possibly nonlinear and the uncertainty of their linear parts is modeled element wise through a parametric family of matrix boxes. An optimization-based design procedure is proposed that delivers a continuous-time control and estimates the maximal regulation error. We also analyze an event-triggered emulation of this controller, which can be implemented on a digital platform, along with an explicit estimate of the regulation error.

KW - element-wise uncertainty

KW - event-triggered control

KW - Measurement uncertainty

KW - Optimization

KW - optimization-based synthesis

KW - Regulation

KW - Robust control

KW - Symmetric matrices

KW - System dynamics

KW - Uncertainty

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JF - IEEE Transactions on Automatic Control

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ER -

Robust Output Regulation: Optimization-Based Synthesis and Event-Triggered Implementation

Abstract

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Keywords

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