Multi-objective LQR with optimum weight selection to design FOPID controllers for delayed fractional order processes.An optimal trade-off design for fractional order (FO)-PID controller is proposed with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain objectives.  The FO time delay processes are handled within a multi-objective optimization (MOO) formalism of LQR based FOPID design.  A comparison is made between two contemporary approaches of stabilizing time-delay systems withinLQR.  Tuning rules are formed for the optimal LQR-FOPID controller parameters, using median of the non-dominated Pareto solutions to handle delayed FO processes.
LQR
Multi-objective LQR with optimum weight selection to design FOPID controllers for delayed fractional order processes.An optimal trade-off design for fractional order (FO)-PID controller is proposed with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain objectives.  The FO time delay processes are handled within a multi-objective optimization (MOO) formalism of LQR based FOPID design.  Tuning rules are formed for the optimal LQR-FOPID controller parameters, using median of the non-dominated Pareto solutions to handle delayed FO processes.
FOPID