A data-driven H-infinity controller design with non-common Lyapunov matrices for the active structural control having saturated actuators

Bilal Gormus; Hakan Yazici; ibrahim Beklan Kucukdemiral

A data-driven H-infinity controller design with non-common Lyapunov matrices for the active structural control having saturated actuators

Bilal Gormus^*, Hakan Yazici, ibrahim Beklan Kucukdemiral

^*Corresponding author for this work

Instrumentation and Control

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

Abstract

This paper presents a data-driven H-infinity controller for active vibration control in structural systems having saturated actuators. The data-driven approach addresses
parameter uncertainties by eliminating the need for system identification. The full-block S-procedure is used to formulate a convex optimization problem in the form of linear matrix inequalities (LMIs), though additional constraints may introduce
conservatism. To mitigate this, the dilation technique with non- common Lyapunov matrices is employed, reducing conservatism and achieving a 12.7% lower H-infinity norm compared to common Lyapunov matrices. A seismically excited three-storey structure is used to validate the method. Simulations based on real-time data from the Kobe earthquake show that the proposed synthesis effectively reduces vibrations while control inputs never become saturated.

Original language	English
Title of host publication	Proceedings of the 11th International Conference on Control, Decision and Information Technologies
Publisher	IEEE
Number of pages	6
Publication status	Accepted/In press - 27 Apr 2025
Event	11th International Conference on Control, Decision and Information Technologies - Split, Croatia Duration: 15 Jul 2025 → 18 Jul 2025 Conference number: 11 https://www.codit2025.org (Link to conference website)

Publication series

Name	International Conference on Control, Decision and Information Technologies
Publisher	IEEE
ISSN (Print)	2576-3547
ISSN (Electronic)	2576-3555

Conference

Conference	11th International Conference on Control, Decision and Information Technologies
Abbreviated title	CoDiT 2025
Country/Territory	Croatia
City	Split
Period	15/07/25 → 18/07/25
Internet address	https://www.codit2025.org (Link to conference website)

Keywords

data-driven control
active structural control
non-common Lyapunov matrix
linear matrix inequalities
saturated actuators

ASJC Scopus subject areas

Civil and Structural Engineering
Control and Systems Engineering

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Cite this

Gormus, B., Yazici, H., & Kucukdemiral, I. B. (Accepted/In press). A data-driven H-infinity controller design with non-common Lyapunov matrices for the active structural control having saturated actuators. In Proceedings of the 11th International Conference on Control, Decision and Information Technologies (International Conference on Control, Decision and Information Technologies). IEEE.

Gormus, Bilal ; Yazici, Hakan ; Kucukdemiral, ibrahim Beklan. / A data-driven H-infinity controller design with non-common Lyapunov matrices for the active structural control having saturated actuators. Proceedings of the 11th International Conference on Control, Decision and Information Technologies. IEEE, 2025. (International Conference on Control, Decision and Information Technologies).

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title = "A data-driven H-infinity controller design with non-common Lyapunov matrices for the active structural control having saturated actuators",

abstract = "This paper presents a data-driven H-infinity controller for active vibration control in structural systems having saturated actuators. The data-driven approach addressesparameter uncertainties by eliminating the need for system identification. The full-block S-procedure is used to formulate a convex optimization problem in the form of linear matrix inequalities (LMIs), though additional constraints may introduceconservatism. To mitigate this, the dilation technique with non- common Lyapunov matrices is employed, reducing conservatism and achieving a 12.7% lower H-infinity norm compared to common Lyapunov matrices. A seismically excited three-storey structure is used to validate the method. Simulations based on real-time data from the Kobe earthquake show that the proposed synthesis effectively reduces vibrations while control inputs never become saturated.",

keywords = "data-driven control, active structural control, non-common Lyapunov matrix, linear matrix inequalities, saturated actuators",

author = "Bilal Gormus and Hakan Yazici and Kucukdemiral, {ibrahim Beklan}",

year = "2025",

month = apr,

day = "27",

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series = "International Conference on Control, Decision and Information Technologies",

publisher = "IEEE",

booktitle = "Proceedings of the 11th International Conference on Control, Decision and Information Technologies",

address = "United States",

note = "11th International Conference on Control, Decision and Information Technologies, CoDiT 2025 ; Conference date: 15-07-2025 Through 18-07-2025",

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}

Gormus, B, Yazici, H & Kucukdemiral, IB 2025, A data-driven H-infinity controller design with non-common Lyapunov matrices for the active structural control having saturated actuators. in Proceedings of the 11th International Conference on Control, Decision and Information Technologies. International Conference on Control, Decision and Information Technologies, IEEE, 11th International Conference on Control, Decision and Information Technologies, Split, Croatia, 15/07/25.

A data-driven H-infinity controller design with non-common Lyapunov matrices for the active structural control having saturated actuators. / Gormus, Bilal; Yazici, Hakan; Kucukdemiral, ibrahim Beklan.
Proceedings of the 11th International Conference on Control, Decision and Information Technologies. IEEE, 2025. (International Conference on Control, Decision and Information Technologies).

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

TY - GEN

T1 - A data-driven H-infinity controller design with non-common Lyapunov matrices for the active structural control having saturated actuators

AU - Gormus, Bilal

AU - Yazici, Hakan

AU - Kucukdemiral, ibrahim Beklan

N1 - Conference code: 11

PY - 2025/4/27

Y1 - 2025/4/27

N2 - This paper presents a data-driven H-infinity controller for active vibration control in structural systems having saturated actuators. The data-driven approach addressesparameter uncertainties by eliminating the need for system identification. The full-block S-procedure is used to formulate a convex optimization problem in the form of linear matrix inequalities (LMIs), though additional constraints may introduceconservatism. To mitigate this, the dilation technique with non- common Lyapunov matrices is employed, reducing conservatism and achieving a 12.7% lower H-infinity norm compared to common Lyapunov matrices. A seismically excited three-storey structure is used to validate the method. Simulations based on real-time data from the Kobe earthquake show that the proposed synthesis effectively reduces vibrations while control inputs never become saturated.

AB - This paper presents a data-driven H-infinity controller for active vibration control in structural systems having saturated actuators. The data-driven approach addressesparameter uncertainties by eliminating the need for system identification. The full-block S-procedure is used to formulate a convex optimization problem in the form of linear matrix inequalities (LMIs), though additional constraints may introduceconservatism. To mitigate this, the dilation technique with non- common Lyapunov matrices is employed, reducing conservatism and achieving a 12.7% lower H-infinity norm compared to common Lyapunov matrices. A seismically excited three-storey structure is used to validate the method. Simulations based on real-time data from the Kobe earthquake show that the proposed synthesis effectively reduces vibrations while control inputs never become saturated.

KW - data-driven control

KW - active structural control

KW - non-common Lyapunov matrix

KW - linear matrix inequalities

KW - saturated actuators

M3 - Conference contribution

T3 - International Conference on Control, Decision and Information Technologies

BT - Proceedings of the 11th International Conference on Control, Decision and Information Technologies

PB - IEEE

T2 - 11th International Conference on Control, Decision and Information Technologies

Y2 - 15 July 2025 through 18 July 2025

ER -

A data-driven H-infinity controller design with non-common Lyapunov matrices for the active structural control having saturated actuators

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

UN SDGs

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