Implementing H∞ Control for Two-Dimensional Systems Delayed Networks Utilising the Observer-Based Approach Under the Random Access Protocol

This paper presents an innovative approach to H<inf>∞</inf> 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<inf>∞</inf> 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. © 2025 Inderscience Publishers. All rights reserved.