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PD-fuzzy formation control for spacecraft formation flying in elliptical orbits

机译：椭圆轨道飞行航天器编队的PD模糊编队控制

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摘要

A PD-fuzzy associated control method is presented for formation control of spacecraft formation flying in elliptical orbits, on the basis of two-body relative dynamics. Since the two-body relative system for elliptical orbits is time-variable and strongly coupling, the fuzzy formation control of formation flying is mainly studied. In the fuzzy control system, the relative position and velocity errors are selected as fuzzy linguistic variables, and the coupling effect is considered during the establishment of the fuzzy rules. Moreover, the addition and the weighted average principle are adopted in order to counteract the effect among the opposite rules. Then the coupling effects can be furthest reduced. In addition, the proportional-differential (PD) control is introduced for large position errors. And PD control works when relative position errors come up to a certain threshold. Finally, numerical simulations show the comparison between PD-fuzzy and fuzzy control method, and the results demonstrate the validity of PD-fuzzy control which possesses both control method's advantages.
机译：提出了一种基于二元相对动力学的PD模糊关联控制方法，用于椭圆轨道飞行器编队控制。由于椭圆轨道的两体相对系统是时变的并且具有很强的耦合性，因此主要研究编队飞行的模糊编队控制。在模糊控制系统中，选择相对位置和速度误差作为模糊语言变量，并在建立模糊规则时考虑耦合效应。而且，为了抵消相反规则之间的影响，采用了加法和加权平均原理。这样就可以最大程度地降低耦合效应。此外，针对大的位置误差引入了比例微分（PD）控制。当相对位置误差达到某个阈值时，PD控制将起作用。最后，数值模拟表明了PD模糊控制与模糊控制方法的比较，结果证明了PD模糊控制的有效性，它兼有两种控制方法的优点。

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