Trajectory-dependent Control Lyapunov Functions for Discrete-time Switched Systems

Diego Alejandro Patiño Guevara; Gerardo Becerra; Xuefang Lin-Shi; Minh tu Pham

doi:10.1016/j.ifacol.2023.10.1756

Trajectory-dependent Control Lyapunov Functions for Discrete-time Switched Systems

Diego Alejandro Patiño Guevara, Gerardo Becerra, Xuefang Lin-Shi, Minh tu Pham

Department of Electronic Engineering

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

Abstract

A method for control of discrete-time switched systems based on parameterized Lyapunov functions is presented. A polynomial representation of the switched system is formulated, and the method of moments is applied to obtain a relaxed model. The control problem is recast as an online receding horizon optimization problem where the Lyapunov function parameters and moment sequences are the decision variables. A novel procedure to synthesize the switching control signal from the recovered measure is described. The method is illustrated in simulation for the case of a pulse-width modulated multicellular converter, showing good reference tracking results.

Original language	English
Title of host publication	IFAC-PapersOnLine
Editors	Hideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita
Publisher	Elsevier B.V.
Pages	4150-4155
Number of pages	6
Volume	56
Edition	2
ISBN (Electronic)	9781713872344
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.1756 https://doi.org/10.1016/j.ifacol.2023.10.1756 https://doi.org/10.1016/j.ifacol.2023.10.1756
State	Published - 22 Nov 2023
Event	22nd IFAC World Congress - Yokohama, Japan Duration: 09 Jul 2023 → 14 Jul 2023

Publication series

Name	IFAC-PapersOnLine
Number	2
Volume	56
ISSN (Electronic)	2405-8963

Conference

Conference	22nd IFAC World Congress
Country/Territory	Japan
City	Yokohama
Period	09/07/23 → 14/07/23

Keywords

Control of switched systems
Lyapunov methods
model predictive and optimization-based control
modeling
polynomial methods
simulation of power systems

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10.1016/j.ifacol.2023.10.1756
10.1016/j.ifacol.2023.10.1756
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https://linkinghub.elsevier.com/retrieve/pii/S2405896323021651

Cite this

Patiño Guevara, D. A., Becerra, G., Lin-Shi, X., & Pham, M. T. (2023). Trajectory-dependent Control Lyapunov Functions for Discrete-time Switched Systems. In H. Ishii, Y. Ebihara, J. Imura, & M. Yamakita (Eds.), IFAC-PapersOnLine (2 ed., Vol. 56, pp. 4150-4155). (IFAC-PapersOnLine; Vol. 56, No. 2). Elsevier B.V.. https://doi.org/10.1016/j.ifacol.2023.10.1756, https://doi.org/10.1016/j.ifacol.2023.10.1756, https://doi.org/10.1016/j.ifacol.2023.10.1756

@inproceedings{a8b672b5110f42c8864ecb998d72b477,

title = "Trajectory-dependent Control Lyapunov Functions for Discrete-time Switched Systems",

abstract = "A method for control of discrete-time switched systems based on parameterized Lyapunov functions is presented. A polynomial representation of the switched system is formulated, and the method of moments is applied to obtain a relaxed model. The control problem is recast as an online receding horizon optimization problem where the Lyapunov function parameters and moment sequences are the decision variables. A novel procedure to synthesize the switching control signal from the recovered measure is described. The method is illustrated in simulation for the case of a pulse-width modulated multicellular converter, showing good reference tracking results.",

keywords = "Control of switched systems, Lyapunov methods, model predictive and optimization-based control, modeling, polynomial methods, simulation of power systems",

author = "{Pati{\~n}o Guevara}, {Diego Alejandro} and Gerardo Becerra and Xuefang Lin-Shi and Pham, {Minh tu}",

note = "Publisher Copyright: Copyright {\textcopyright} 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/); 22nd IFAC World Congress ; Conference date: 09-07-2023 Through 14-07-2023",

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month = nov,

day = "22",

doi = "10.1016/j.ifacol.2023.10.1756",

language = "English",

volume = "56",

series = "IFAC-PapersOnLine",

publisher = "Elsevier B.V.",

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editor = "Hideaki Ishii and Yoshio Ebihara and Jun-ichi Imura and Masaki Yamakita",

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Patiño Guevara, DA, Becerra, G, Lin-Shi, X & Pham, MT 2023, Trajectory-dependent Control Lyapunov Functions for Discrete-time Switched Systems. in H Ishii, Y Ebihara, J Imura & M Yamakita (eds), IFAC-PapersOnLine. 2 edn, vol. 56, IFAC-PapersOnLine, no. 2, vol. 56, Elsevier B.V., pp. 4150-4155, 22nd IFAC World Congress, Yokohama, Japan, 09/07/23. https://doi.org/10.1016/j.ifacol.2023.10.1756, https://doi.org/10.1016/j.ifacol.2023.10.1756, https://doi.org/10.1016/j.ifacol.2023.10.1756

Trajectory-dependent Control Lyapunov Functions for Discrete-time Switched Systems. / Patiño Guevara, Diego Alejandro; Becerra, Gerardo; Lin-Shi, Xuefang et al.
IFAC-PapersOnLine. ed. / Hideaki Ishii; Yoshio Ebihara; Jun-ichi Imura; Masaki Yamakita. Vol. 56 2. ed. Elsevier B.V., 2023. p. 4150-4155 (IFAC-PapersOnLine; Vol. 56, No. 2).

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

TY - GEN

T1 - Trajectory-dependent Control Lyapunov Functions for Discrete-time Switched Systems

AU - Patiño Guevara, Diego Alejandro

AU - Becerra, Gerardo

AU - Lin-Shi, Xuefang

AU - Pham, Minh tu

PY - 2023/11/22

Y1 - 2023/11/22

N2 - A method for control of discrete-time switched systems based on parameterized Lyapunov functions is presented. A polynomial representation of the switched system is formulated, and the method of moments is applied to obtain a relaxed model. The control problem is recast as an online receding horizon optimization problem where the Lyapunov function parameters and moment sequences are the decision variables. A novel procedure to synthesize the switching control signal from the recovered measure is described. The method is illustrated in simulation for the case of a pulse-width modulated multicellular converter, showing good reference tracking results.

AB - A method for control of discrete-time switched systems based on parameterized Lyapunov functions is presented. A polynomial representation of the switched system is formulated, and the method of moments is applied to obtain a relaxed model. The control problem is recast as an online receding horizon optimization problem where the Lyapunov function parameters and moment sequences are the decision variables. A novel procedure to synthesize the switching control signal from the recovered measure is described. The method is illustrated in simulation for the case of a pulse-width modulated multicellular converter, showing good reference tracking results.

KW - Control of switched systems

KW - Lyapunov methods

KW - model predictive and optimization-based control

KW - modeling

KW - polynomial methods

KW - simulation of power systems

UR - https://www.sciencedirect.com/science/article/pii/S2405896323021651

U2 - 10.1016/j.ifacol.2023.10.1756

DO - 10.1016/j.ifacol.2023.10.1756

M3 - Conference contribution

VL - 56

T3 - IFAC-PapersOnLine

SP - 4150

EP - 4155

BT - IFAC-PapersOnLine

A2 - Ishii, Hideaki

A2 - Ebihara, Yoshio

A2 - Imura, Jun-ichi

A2 - Yamakita, Masaki

PB - Elsevier B.V.

T2 - 22nd IFAC World Congress

Y2 - 9 July 2023 through 14 July 2023

ER -

Patiño Guevara DA, Becerra G, Lin-Shi X, Pham MT. Trajectory-dependent Control Lyapunov Functions for Discrete-time Switched Systems. In Ishii H, Ebihara Y, Imura J, Yamakita M, editors, IFAC-PapersOnLine. 2 ed. Vol. 56. Elsevier B.V. 2023. p. 4150-4155. (IFAC-PapersOnLine; 2). doi: 10.1016/j.ifacol.2023.10.1756, 10.1016/j.ifacol.2023.10.1756, 10.1016/j.ifacol.2023.10.1756

Trajectory-dependent Control Lyapunov Functions for Discrete-time Switched Systems

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