控制输入受限的拦截卫星轨道鲁棒H2/H∞控制

针对拦截卫星在执行轨道拦截任务的过程中存在不确定参数和不同类型外界干扰的轨道控制问题,研究了基于鲁棒H2/H∞稳定的控制器设计方法.首先,考虑参数不确定性、外界干扰、系统的H2/H∞性能和有限时间性能、控制输入限幅和极点配置,建立了相对运动轨道模型和相应的约束条件,并由此提出了控制器设计目标.然后采用线性不等式技术提出并证明了控制器存在的充分条件,并将控制器的设计转化为一个凸优化问题进行求解.仿真结果表明,设计的控制器能够使系统稳定并满足各项约束,且对系统不确定性具有较好的鲁棒性以及对外界干扰有一定的抑制作用.

Robust H-two/H-infinity orbit control for intercepting spacecraft with control input constraint

A robust H-two/H-infinity orbit controller is proposed for intercepting satellite with parametric uncertainties, external disturbances and control input constraint. First, we build the relative model and formulate the relative constraints by considering all factors including uncertainties, disturbances, system H-two/H-infinity and finite-time performances, input constraint and pole placement. Then, we derive the sufficient conditions of controller by using the linear matrix inequality technology, transforming the controller design to a convex optimization problem. Simulation results show that the system is asymptotically stable with good robustness and high disturbance attenuation, and satisfies all the constraint requirements.