无限地平线LQR控制器的设计用于卫星轨道控制中的离散延迟系统:一个预测控制器和减少方法的方法
Mohsen Khosravi1, Hossein Azarinfar1, Kiomars Sabzevari2
1University of Gonabad, St. Ghafari, Gonabad, Iran.
Heliyon
|February 5, 2024
概括
本研究介绍了用于卫星轨道控制的先进线性二次调节器 (LQR) 控制器,可降低燃料消耗并提高离散延迟系统的稳定性. 控制器确保了强大的性能,尽管存在不确定性和时间延迟.
科学领域:
- 航空航天工程 航空航天工程
- 控制理论 控制理论
- 系统工程 系统工程
背景情况:
- 卫星轨道控制对于任务的成功至关重要,需要精确的燃料管理和稳定性.
- 现有的控制方法面临着难以实现的时间延迟和系统不确定性的挑战.
- 优化控制器设计对于最大限度地减少燃料消耗和保持稳定的轨道至关重要.
研究的目的:
- 为卫星轨道控制中的离散延迟系统设计一个先进的线性二次调节器 (LQR) 控制器.
- 将预测控制与降低方法集成在一起,以获得最佳的性能和约束满足.
- 制定一个强大的控制策略,尽量减少燃料消耗,确保轨道稳定.
主要方法:
- 用于离散延迟系统的无限视界LQR控制器的设计.
- 预测控制与还原方法的整合,将问题制定为二进制程序.
- 使用Lyapunov-Krasovsky函数和延迟独立条件的线性矩阵不等式进行稳定性分析.
主要成果:
- 一种新的预测控制方法,使用缩小视野策略来生成控制输入.
- 通过稳定性分析得出的指数趋同的延迟独立条件.
- 在数值示例中证明了保持轨道和减少燃料消耗的有效性.
结论:
- 拟议的LQR控制器有效地管理卫星轨道,最大限度地减少燃料消耗并确保稳定性.
- 控制器表现出对卫星系统固有的不确定性和时间延迟的稳定性.
- 这项研究推进了强大的控制策略,以提高卫星轨道控制的性能和运营效率.
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