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 precisepoint is a major dispute. Loss in production at the initial stageis observed until the water level reaches desired level. Pharmaceuticalindustries can however earn more profit if they could maintainprecise water level control at the initial stage of production. To synchronizethe water level precisely having best performance parameters,this work introduces Particle Swarm Optimization (PSO) and GreyWolf Optimization (GWO). By determining the mathematical model,the method for water proportion (level) control in the bridged tanksfor the MIMO system may be accomplished. The prior step for systemidentification is by observing the open-loop response of the system.This can be processed by analyzing the actual parameters of the coupledtank. State-space analysis of coupled tanks is explained in detailalong with its conversion into transfer function. In this paper, theinherent parameters required for the calculation are discussed. MATLABis used as the platform for observing the responses. Observationsfrom the PID controller articulate that, there is a need for a better controllerto enhance the performance. Performance analysis along withits discussion is conferred in this paper.