On the steady-state behavior of finite-control-set MPC with an application to high-precision power amplifiers

Duo Xu; Sander Damsma; Mircea Lazar

doi:10.23919/ECC55457.2022.9838191

On the steady-state behavior of finite-control-set MPC with an application to high-precision power amplifiers

Duo Xu
, Sander Damsma
, Mircea Lazar

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

8 Citations (Scopus)

Abstract

Motivated by increasing precision requirements for switched power amplifiers, this paper addresses the problem of model predictive control (MPC) design for discrete-time linear systems with a finite control set (FCS). Typically, existing solutions for FCS-MPC penalize the output tracking error and the control input rate of change, which can lead to arbitrary switching among the available discrete control inputs and unpredictable steady-state behavior. To improve the steady-state behavior of FCS-MPC, in this paper we design a cost function that penalizes the tracking error with respect to a state and input steady-state limit cycle. We prove that if a suitable terminal cost is added to the FCS-MPC algorithm convergence to the limit cycle is ensured. The developed methodology is validated in direct switching control of a power amplifier for high-precision motion systems, where it significantly improves the steady-state output current ripple.

Original language	English
Title of host publication	2022 European Control Conference, ECC 2022
Publisher	Institute of Electrical and Electronics Engineers
Pages	820-825
Number of pages	6
ISBN (Electronic)	9783907144077
DOIs	https://doi.org/10.23919/ECC55457.2022.9838191
Publication status	Published - 2022
Event	2022 European Control Conference, ECC 2022 - Imperial College London, London, United Kingdom Duration: 12 Jul 2022 → 15 Jul 2022 https://ecc22.euca-ecc.org/

Conference

Conference	2022 European Control Conference, ECC 2022
Abbreviated title	ECC 2022
Country/Territory	United Kingdom
City	London
Period	12/07/22 → 15/07/22
Internet address	https://ecc22.euca-ecc.org/

Bibliographical note

Funding Information:
This work is funded by the EU Horizon 2020 research project IT2 (IC Technology for the 2nm Node), Grant agreement ID: 875999. All authors are with the Control Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, The Netherlands. E-mails: [email protected], [email protected], [email protected].

Funding

This work is funded by the EU Horizon 2020 research project IT2 (IC Technology for the 2nm Node), Grant agreement ID: 875999. All authors are with the Control Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, The Netherlands. E-mails: [email protected], [email protected], [email protected].

Keywords

Finite control set
Limit cycles
Model predictive control
Power amplifiers
Stabilization

Access to Document

10.23919/ECC55457.2022.9838191

Cite this

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title = "On the steady-state behavior of finite-control-set MPC with an application to high-precision power amplifiers",

abstract = "Motivated by increasing precision requirements for switched power amplifiers, this paper addresses the problem of model predictive control (MPC) design for discrete-time linear systems with a finite control set (FCS). Typically, existing solutions for FCS-MPC penalize the output tracking error and the control input rate of change, which can lead to arbitrary switching among the available discrete control inputs and unpredictable steady-state behavior. To improve the steady-state behavior of FCS-MPC, in this paper we design a cost function that penalizes the tracking error with respect to a state and input steady-state limit cycle. We prove that if a suitable terminal cost is added to the FCS-MPC algorithm convergence to the limit cycle is ensured. The developed methodology is validated in direct switching control of a power amplifier for high-precision motion systems, where it significantly improves the steady-state output current ripple.",

keywords = "Finite control set, Limit cycles, Model predictive control, Power amplifiers, Stabilization",

author = "Duo Xu and Sander Damsma and Mircea Lazar",

note = "Funding Information: This work is funded by the EU Horizon 2020 research project IT2 (IC Technology for the 2nm Node), Grant agreement ID: 875999. All authors are with the Control Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, The Netherlands. E-mails: [email protected], [email protected], [email protected]. ; 2022 European Control Conference, ECC 2022, ECC 2022 ; Conference date: 12-07-2022 Through 15-07-2022",

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doi = "10.23919/ECC55457.2022.9838191",

language = "English",

pages = "820--825",

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publisher = "Institute of Electrical and Electronics Engineers",

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Xu, D, Damsma, S & Lazar, M 2022, On the steady-state behavior of finite-control-set MPC with an application to high-precision power amplifiers. in 2022 European Control Conference, ECC 2022., 9838191, Institute of Electrical and Electronics Engineers, pp. 820-825, 2022 European Control Conference, ECC 2022, London, United Kingdom, 12/07/22. https://doi.org/10.23919/ECC55457.2022.9838191

On the steady-state behavior of finite-control-set MPC with an application to high-precision power amplifiers. / Xu, Duo; Damsma, Sander; Lazar, Mircea.
2022 European Control Conference, ECC 2022. Institute of Electrical and Electronics Engineers, 2022. p. 820-825 9838191.

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

TY - GEN

T1 - On the steady-state behavior of finite-control-set MPC with an application to high-precision power amplifiers

AU - Xu, Duo

AU - Damsma, Sander

AU - Lazar, Mircea

N1 - Funding Information: This work is funded by the EU Horizon 2020 research project IT2 (IC Technology for the 2nm Node), Grant agreement ID: 875999. All authors are with the Control Systems Group, Department of Electrical Engineering, Eindhoven University of Technology, The Netherlands. E-mails: [email protected], [email protected], [email protected].

PY - 2022

Y1 - 2022

N2 - Motivated by increasing precision requirements for switched power amplifiers, this paper addresses the problem of model predictive control (MPC) design for discrete-time linear systems with a finite control set (FCS). Typically, existing solutions for FCS-MPC penalize the output tracking error and the control input rate of change, which can lead to arbitrary switching among the available discrete control inputs and unpredictable steady-state behavior. To improve the steady-state behavior of FCS-MPC, in this paper we design a cost function that penalizes the tracking error with respect to a state and input steady-state limit cycle. We prove that if a suitable terminal cost is added to the FCS-MPC algorithm convergence to the limit cycle is ensured. The developed methodology is validated in direct switching control of a power amplifier for high-precision motion systems, where it significantly improves the steady-state output current ripple.

AB - Motivated by increasing precision requirements for switched power amplifiers, this paper addresses the problem of model predictive control (MPC) design for discrete-time linear systems with a finite control set (FCS). Typically, existing solutions for FCS-MPC penalize the output tracking error and the control input rate of change, which can lead to arbitrary switching among the available discrete control inputs and unpredictable steady-state behavior. To improve the steady-state behavior of FCS-MPC, in this paper we design a cost function that penalizes the tracking error with respect to a state and input steady-state limit cycle. We prove that if a suitable terminal cost is added to the FCS-MPC algorithm convergence to the limit cycle is ensured. The developed methodology is validated in direct switching control of a power amplifier for high-precision motion systems, where it significantly improves the steady-state output current ripple.

KW - Finite control set

KW - Limit cycles

KW - Model predictive control

KW - Power amplifiers

KW - Stabilization

UR - https://www.scopus.com/pages/publications/85136649196

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DO - 10.23919/ECC55457.2022.9838191

M3 - Conference contribution

AN - SCOPUS:85136649196

SP - 820

EP - 825

BT - 2022 European Control Conference, ECC 2022

PB - Institute of Electrical and Electronics Engineers

T2 - 2022 European Control Conference, ECC 2022

Y2 - 12 July 2022 through 15 July 2022

ER -

On the steady-state behavior of finite-control-set MPC with an application to high-precision power amplifiers

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Keywords

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