Tuning of state-feedback multi-resonant controllers based on LQR using differential evolution metaheuristic

Enhancing functionality of two-rotor vibration machine by automatic control

“…This machine consists of rotors, both kinematically and electrically unconnected, mounted on a movable base, each driven by independent asynchronous motors. Remarkably, these initially independent rotors, under some conditions, can exhibit synchronous rotation [Blekhman, 1988;Proskurnikov and Smirnova, 2020;Tomchina, 2023;Fradkov et al, 2021]. This synchronization allows for the establishment of equal or multiple speeds and precise phase shifts between the rotors.…”

“…Metaheuristic methods, which belong to the class of gradient-free optimization techniques, are commonly employed for parameter tuning. These methods facilitate the optimization of cost functions [Pelz et al, 2022]. Instances of their application include using evolutionary algorithms in Linear Quadratic Regulator (LQR) design for power electronics filters and applying harmony search algorithms to tune Proportional-Integral (PI) controllers in wind turbine generator systems [Keshta et al, 2016].…”