卫星姿态控制应用的显式模型预测控制的格点分段仿射近似
Lattice piecewise affine approximation of explicit model predictive control with application to satellite attitude control
AI总结：
针对显式MPC在复杂高维系统中离线计算量过大的问题，本文利用可行域采样点构建卫星姿态控制最优MPC的格点PWA近似，证明了系统渐近稳定性，仿真表明该方法以极低在线复杂度实现与线性MPC相当的性能且比LQR更省燃料。
摘要：
卫星姿态控制是航空航天技术的关键部分，模型预测控制（MPC）是该领域最有前景的控制器之一，若无法实现实时在线优化，其效果将大打折扣。显式MPC将在线计算转化为查表过程，但若系统维数高或约束复杂，则难以求得解。格点分段仿射（PWA）函数曾被用于表示显式MPC的控制律，尽管降低了在线计算复杂度，但对复杂问题而言其离线计算量仍令人望而却步。本文利用可行域内的采样点及其对应的仿射函数，构建了专为卫星姿态控制设计的最优MPC控制器的格点PWA近似。我们证明了在格点PWA近似下卫星姿态控制系统的渐近稳定性，并通过仿真验证，所提方法能获得与线性在线MPC几乎相同的性能，且在线计算复杂度大幅降低，耗燃料量少于LQR方法。
英文摘要：
Satellite attitude cotrol is a crucial part of aerospace technology, and model predictive control(MPC) is one of the most promising controllers in this area, which will be less effective if real-time online optimization can not be achieved. Explicit MPC converts the online calculation into a table lookup process, however the solution is difficult to obtain if the system dimension is high or the constraints are complex. The lattice piecewise affine(PWA) function was used to represent the control law of explicit MPC, although the online calculation complexity is reduced, the offline calculation is still prohibitive for complex problems. In this paper, we use the sample points in the feasible region with their corresponding affine functions to construct the lattice PWA approximation of the optimal MPC controller designed for satellite attitude control. The asymptotic stability of satellite attitude control system under lattice PWA approximation has been proven, and simulations are executed to verify that the proposed method can achieve almost the same performance as linear online MPC with much lower online computational complexity and use less fuel than LQR method.
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