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基于滑模控制原理,研究了近距离追踪航天器与目标航天器交会对接时,相对运动轨道的控制问题.首先,建立非线性航天器相对运动模型;其次,利用滑模控制原理和分数阶导数的相关性质,设计了整数阶PD控制器和分数阶PD~α控制器;最后,分别运用整数阶和分数阶控制器对未扰和受扰系统实施控制.数值仿真结果表明,整数阶与分数阶控制器均能实现对未扰和受扰系统的控制,验证了方法的有效性.同时发现,在时效性上,分数阶控制器明显优于整数阶控制器;在能效性上,达到相同控制目标时,分数阶控制器的能量消耗大于整数阶控制器.
Based on the principle of sliding mode control, the control of relative motion orbit when the spacecraft and the target spacecraft are rendezvous and docking is studied.Firstly, the relative motion model of the nonlinear spacecraft is established. Secondly, by using the principle of sliding mode control and fractional derivative The controller of integer order and fractional order controller is used to control the unperturbed and disturbed system respectively.The numerical simulation results show that the integer order and fractional factor The order controller can control the undisturbed and disturbed system and verify the effectiveness of the method.Furthermore, it is found that the fractional order controller is obviously superior to the integer order controller in terms of timeliness and the same in energy efficiency The fractional controller consumes more energy than the integer controller when controlling the target.