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针对卫星编队姿态协同分布式控制问题,提出一种基于Lyapunov方法的编队飞行协同控制策略。首先,考虑到实际编队飞行中星间通信存在时变时间延迟及模型不确定问题,结合变结构控制的思想设计一种针对时滞系统稳定性分析的Lyapunov函数,从而由直接Lyapunov方法得到可对模型参数进行估计的自适应分布式姿态协同控制器,并论证其构成的闭环系统的稳定性。其次,考虑到外界干扰对系统的性能输出影响,利用L2增益耗散不等式重新设计控制器参数,使系统满足L2增益稳定的条件。该控制器不仅能够克服星间时变通信时间延迟对编队卫星姿态协同带来的影响,使编队卫星达到姿态的协同跟踪,同时还能抑制外界干扰对系统输出的影响,使闭环系统满足整体编队输出性能指标要求。最后,将提出的算法应用于双星编队姿态协同控制问题,仿真结果表明该方法具有可行性、有效性及潜在的应用前景。
Aiming at the cooperative formation control of satellite formations, a cooperative flight control strategy based on Lyapunov method is proposed. First of all, considering the time-varying time delay and model uncertainty of intergalactic communication in the actual formation flight, a Lyapunov function for stability analysis of time-delay systems is designed according to the idea of variable structure control, so that the direct Lyapunov method Model parameters to estimate the adaptive distributed attitude cooperative controller, and demonstrate the stability of the closed-loop system. Secondly, considering the influence of outside interference on the performance of the system, the controller parameters are redesigned by using L2 gain dissipation inequality to make the system satisfy the condition of L2 gain stability. The controller can not only overcome the influence of satellite time-varying communication delays on the attitude and attitude coordination of the formation satellite, but also enable the formation satellites to achieve the coordinated tracking of the attitude while suppressing the influence of external interference on the output of the system, so that the closed-loop system satisfies the overall formation Output performance requirements. Finally, the proposed algorithm is applied to the collaborative control of binary formation attitude. The simulation results show that the proposed method is feasible, effective and potential application.