Periodic modes in an automatic control system with a three-position hysteresis relay

V. V. Yevstafyeva   ; A. M. Kamachkin   ; D. K. Potapov

Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 4, pp. 596-607

Résumé

We consider an automatic control system with a three-position hysteresis relay and a continuous periodic external perturbation. The existence theorem is established that provide domains in the space of system parameters, including the parameters of the relay and perturbation, to which periodic modes having a pass to saturation zones with given periods and a specified configuration of phase trajectories correspond.

Détail

Keywords: automatic control system, three-position hysteresis relay, periodic external perturbation, periodic mode, phase trajectory.

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