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

Abstract

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.