State-feedback Control Principles for Inverted Pendulum with Hysteresis in Suspension
URI (для ссылок/цитирований):
http://elib.sfu-kras.ru/bitstream/handle/2311/29997/semenovM.pdf?sequence=1https://elib.sfu-kras.ru/handle/2311/69598
Автор:
Семенов, Михаил Евгеньевич
Зайниб, Хатиф Аббас
Ищук, Игорь Николаевич
Канищева, Олеся Ивановна
Мелешенко, Петр Андреевич
Коллективный автор:
Военно-инженерный институт
Без кафедры
Дата:
2016-11Журнал:
Journal of Siberian Federal University - Mathematics and PhysicsКвартиль журнала в Scopus:
Q4Библиографическое описание:
Семенов, Михаил Евгеньевич. State-feedback Control Principles for Inverted Pendulum with Hysteresis in Suspension [Текст] / Михаил Евгеньевич Семенов, Хатиф Аббас Зайниб, Игорь Николаевич Ищук, Олеся Ивановна Канищева, Петр Андреевич Мелешенко // Journal of Siberian Federal University - Mathematics and Physics: Mathematics and Physics. — 2016. — Т. 9 (№ 4). — С. 498-509Аннотация:
In this paper we consider the mathematical model of the inverted pendulum with the hysteretic nonlinearity (in the form of a backlash) under state feedback control. The analytic results for the stability criteria as well as for the solution of the linearized equation are observed and analyzed. The theorems that determine the stabilization of the considered system are formulated and discussed. The question on the optimal control of the system under consideration is also discussed and the corresponding theorem is considered.