基于微分包含的绳系卫星时间最优释放控制

Time-optimal deployment of a tethered subsatellite based on differential inclusion

MOE Key Lab of Structure Mechanics and Control for Aircraft, Institute ofVibration Engineering Research,Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaMOE Key Lab of Structure Mechanics and Control for Aircraft, Institute ofVibration Engineering Research,Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

摘要: 考虑系绳弹性的影响，建立了绳系卫星系统三维动力学模型，研究了在状态和控制约束下的绳系卫星非线性时间最优控制问题. 为缩减系统变量，控制律设计没有采用通常的状态空间模型，而是基于二阶微分包含，将连续时间最优控制问题离散为大规模动态规化问题，最后通过数值模拟验证了该方法的有效性.
- 绳系卫星 /
- 时间最优控制 /
- 弹性系绳 /
- 微分包含 /
- 动态规化
Abstract: This paper presents the nonlinear time-optimal controlfor the three-dimensional deployment process of a tethered subsatellitemodel, which also takes tether elasticity and the mission-relatedstate-control constraints into consideration. Instead of the commonly usedstate-space model, a second-order differential inclusion formulation isexploited in this work to achieve a significant reduction of the number ofsystem variables. The optimal control is solved by discretizing the optimalcontrol problem based on a direct algorithm, and numerically solving theresulting large-scale optimization problem via an NLP (nonlinearprogramming) solver. The case studies in the paper well demonstrate theperformance of the proposed strategy.
- tethered subsatellite /
- time-optimal control /
- elastic tether /
- differential inclusion /
- dynamic programming