A stabilizing PID controller sampling procedure for stochastic optimizers ⋆

Abstract: PID controller remain as a practical and reliable solution for a wide range of industrial applications. Efforts to develop new tuning techniques fulfilling several requirements and specifications are worthwhile. A commonly used approach is by means of an optimization procedure to adjust its parameters. Stochastic optimizers has been well used for PID controller tuning, due to their flexibility as global optimizers. Nevertheless, such algorithms calculate their tuning proposals in a stochastic manner, bringing two additional problems for the optimization statement; on the one hand, they should satisfy that any set of PID parameters will stabilize the closed loop; on the other hand, they should assure that all stabilizing PID controllers are consider by the algorithm. In this work, we shown a simple sampling mechanism which assure stabilizing PID controllers for FOPDT processes which tackle the aforementioned problems