Centralized Optimal Control with a Shared Signal for Identical Subsystems: Application to Multiple Four-Tank Systems

Abstract

This study proposes a centralized control solution aimed at reducing implementation costs for industrial systems comprising multiple similar subsystems. Instead of equipping each actuator to execute separate control signals, the proposed method utilizes a shared control signal to simultaneously operate multiple independent systems that share identical setpoints and technical specifications. Analytical results demonstrate that this control architecture simplifies the hardware structure and reduces the required control resources, thereby lowering investment and maintenance costs. However, the use of a common control signal introduces certain trade-offs in control performance, such as increased delay and greater liquid level oscillation compared to independently controlled systems. To validate the approach, we conducted simulations on multiple clusters of four-tank experimental models under various initial conditions. The simulation results confirm that the proposed method ensures system stability and effective setpoint tracking. These findings suggest a promising direction for the development of centralized control architectures in large-scale or multi-agent systems.