飞行时间不受约束的绳系卫星最优控制

研究了飞行时间不受约束的绳系卫星释放和回收过程的非线性最优控制问题.基于Chebyshev级数展开将高阶系统的状态约束和控制约束拟线性化,使问题转化成典型的线性二次规划问题,通过数值模拟验证了该方法的有效性,获得了绳系卫星轨道和控制力的时间最优历程.

Optimal Control for Tethered Subsatellite with Free Flying Time

The optimal control for the deployment and retrieval processes of a tethered subsatellite system with free flying time is proposed, which takes in-plane and out-of-plane motions into account. The quasi-linearization and the truncated Chebyshev expansions are adopted to approximate the system state variables to simplify the original problem of constrained nonlinear optimal control into linear quadratic programming ones. The case studies demonstrate the effectiveness of the proposed method, and the optimal trajectories and control force are obtained.