Title | Application of Zubov's method of optimal damping in the problem of controlling a four-gimbal gyroscopic system |
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Authors | A. P. Zhabko^{1}, N. A. Zhabko^{1}, P. V. Yakovlev^{1}^{1}St. Petersburg State University |

Annotation | The article considers the control problem of the aircraft cabin simulator with a four-axis gimbal gyroscopic system. The difficulty of the control problem of standard three-axis gimbal gyroscopic system is the presence of the phenomena "gimbal lock" when the two axes of the system become collinear or close to collinear. One of the applied solutions to avoid "gimbal lock" is to use of the fourth additional gimbal. Such fore-axis gimbal systems are presented in the works of various authors. However, the problem of criteria and an optimal control of four-axis gimbal gyroscopic system is still under the question. Optimal dumping algorithm for constructing a control of the gimbal system according to Zubov's method, is proposed. |

Keywords | dumping, optimal control, gyroscope, rotation control |

Citation | Zhabko A. P., Zhabko N. A., Yakovlev P. V. ''Application of Zubov's method of optimal damping in the problem of controlling a four-gimbal gyroscopic system'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 66-72. Available at: https://conf.svmo.ru/files/2023/papers/paper09.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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