Mathematical Modeling of coupled tank interacting system for controlling water level using GWO and PSO optimization

In bulk drug production industries water level control at a precise point is a major dispute. Loss in production at the initial stage is observed until the water level reaches desired level. Pharmaceutical industries can however earn more profit if they could maintain precise water level control at the initial stage of production. To synchronize the water level precisely having best performance parameters, this work introduces Particle Swarm Optimization (PSO) and Grey Wolf Optimization (GWO). By determining the mathematical model, the method for water proportion (level) control in the bridged tanks for the MIMO system may be accomplished. The prior step for system identification is by observing the open-loop response of the system. This can be processed by analyzing the actual parameters of the coupled tank. State-space analysis of coupled tanks is explained in detail along with its conversion into transfer function. In this paper, the inherent parameters required for the calculation are discussed. MATLAB is used as the platform for observing the responses. Observations from the PID controller articulate that, there is a need for a better controller to enhance the performance. Performance analysis along with its discussion is conferred in this paper.