摘要
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。
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.
出处
《应用力学学报》
CAS
CSCD
北大核心
2009年第4期771-775,共5页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金(10372039和10672073)
