Article: Implementing H∞ control for two-dimensional systems delayed networks utilising the observer-based approach under the random access protocol Journal: International Journal of Power and Energy Conversion (IJPEC) 2025 Vol.16 No.3 pp.257 - 276 Abstract: This paper presents an innovative approach to H∞ observer-based control of two-dimensional networks with delays, while considering the random access protocol. Two-dimensional networks, commonly utilised in distributed communication and control systems, are susceptible to delays that can lead to stability and performance issues. To mitigate these adverse effects, an observer-based control strategy is developed. This approach involves designing an observer capable of reconstructing the system state in the presence of delays, enabling robust regulation of the network. Furthermore, the H∞ method is employed to ensure stability and minimise disturbance effects. Numerical simulations demonstrate that this approach significantly enhances network performance under the random access protocol, paving the way for more reliable and efficient applications in distributed communication and control systems. Inderscience Publishers - linking academia, business and industry through research

Title: Implementing H_∞ control for two-dimensional systems delayed networks utilising the observer-based approach under the random access protocol

Authors: Hicham Qobbi; Taha Zoulagh; Karina A. Barbosa; Bensalem Boukili; Abdelaziz Hmamed; Noreddine Chaibi

Addresses: Laboratory of Information and Automated and Cognitive Systems, Faculty of Sciences, University Sidi Mohammed Ben Abdelah, Fez, Morocco ' Modeling Information and Systems (MIS) Laboratory – (COVE) Team, Faculty of Science, University of Picardie Jules Verne, France ' Laboratory of Electrical Engineering Department, USACH, University of Santiago, Chile ' Laboratory of Information and Automated and Cognitive Systems, Faculty of Sciences, University Sidi Mohammed Ben Abdelah, Fez, Morocco ' Private University of Fez, Quaraouiyine Subdivision, Ain Chkef Road, Fez 30000, Morocco ' Laboratory of Information and Automated and Cognitive Systems, Faculty of Sciences, University Sidi Mohammed Ben Abdelah, Fez, Morocco

Abstract: This paper presents an innovative approach to H_∞ observer-based control of two-dimensional networks with delays, while considering the random access protocol. Two-dimensional networks, commonly utilised in distributed communication and control systems, are susceptible to delays that can lead to stability and performance issues. To mitigate these adverse effects, an observer-based control strategy is developed. This approach involves designing an observer capable of reconstructing the system state in the presence of delays, enabling robust regulation of the network. Furthermore, the H_∞ method is employed to ensure stability and minimise disturbance effects. Numerical simulations demonstrate that this approach significantly enhances network performance under the random access protocol, paving the way for more reliable and efficient applications in distributed communication and control systems.

Keywords: LMI; 2D systems; H_∞; random access protocol; RAP.

DOI: 10.1504/IJPEC.2025.147288

International Journal of Power and Energy Conversion, 2025 Vol.16 No.3, pp.257 - 276

Received: 18 May 2024
Accepted: 15 Jun 2024
Published online: 14 Jul 2025 *

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Title: Implementing H∞ control for two-dimensional systems delayed networks utilising the observer-based approach under the random access protocol

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Title: Implementing H_∞ control for two-dimensional systems delayed networks utilising the observer-based approach under the random access protocol