Based on the technique features and mathematical model of electroslag remelting(ESR) process, a multivariable
self-tuning PID controller tuned optimally by an improved shuffled frog leaping algorithm(ISFLA) is proposed to control
the two-input-two-output(TITO) ESR process. A new frog leaping rule is proposed to enhance the SFLA’s local search
capabilities, which adjusts the frog local search space and the step of each flog’s jump dynamically and randomly by
emulating frog’s perception and action uncertainties in order to prevent premature convergence and improve the search
efficiency of SFLA. The simulation results and industrial application tests show the feasibility and effectiveness of the
proposed control method.