FOIλD1-λ controller: An alternative to double-loop control schemes for integrating processes

In this work, a tri-parametric non-integer controller is suggested as an alternative for double loop control schemes for controlling dynamics of higher order integrating type processes with dead time. The suggested tri-parametric controller provides a decent tradeoff of proportional-integral (PI) and proportional-derivative (PD) actions with lesser tunable parameters from its integer order double-loop counterparts. The complex root bound (CRB) method is used to investigate the stability zone, which distinctly offers the search-space of the suggested controller arguments for any integrating time-delayed systems, regardless of order. The optimized parameters are then found using an equilibrium optimizer based on the CRB and the integral squared-time error minimization objective. To establish the efficiency of the intended control scheme, a juxtaposition with other prevalent double-loop schemes based on several performance measures is offered.