与非合作目标交会的多约束有限时间最优控制

Finite time optimal control for non-cooperative targets rendezvous with multi-constraints

摘要:

针对拦截卫星的末端轨道拦截任务,研究了基于状态反馈的轨道控制器设计方法．考虑系统参数不确定性,建立了相对运动模型．同时考虑系统有限时间二次型性能指标、控制输入限幅和极点配置,提出了多约束条件的控制器设计问题并给出了控制器的设计方法．该方法采用线性不等式技术,根据Lyapunov稳定定理推导出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,并且能在获得最优系统有限时间性能的同时满足控制输入限幅和极点区域限制．

Abstract:

This paper studies the problem of orbit control for intercepting satellite based on state feedback control considering parametric uncertainties, finite time performance, control input constraint and poles assignment. The sufficient condition of controller is derived by Lyapunov approach, and then the controller design is transformed into a convex optimization problem in terms of linear matrix inequality. An illustrative example shows that the system is asymptotically stable with the designed controller and the optimal performance is obtained with control input and poles assignment constraints.