红外与激光工程, 2020, 49 (9): 20200279, 网络出版: 2021-01-04  

滑翔飞行器线性伪谱模型预测控制三维轨迹规划 下载: 616次

3D trajectory planning for gliding vehicle using linear pseudospectral model predictive control
作者单位
1 北京航空航天大学 宇航学院,北京 100191
2 复杂系统控制与智能协同技术重点实验室,北京 100074
3 北京机电工程研究所,北京 100074
摘要
对高升阻比滑翔飞行器,在线性伪谱模型预测控制基础上提出新的再入制导律,除了满足传统终端约束与路径约束,还能以特定航向角抵达终点。以高维多项式代理技术泛化升阻比,得到关于能量和攻角的表达式,攻角在线调节升阻比以增强规划能力。再入飞行分为下降段和滑翔段,下降段维持最大攻角和零倾侧角以限制热流率。滑翔段应用线性伪谱模型预测控制,用降阶动力学模型预测终端偏差,线性化模型获得误差传播方程。由于积分计算复杂,以高斯伪谱法获取控制量的修正值,修正攻角、倾侧角相关参数和两次倾侧反转的能量时刻消除终端偏差。方法简单易行,精度高,便于在线应用,仿真结果显示该方法能满足提出的规划需求。
Abstract
A new entry guidance law for the high lift to drag ratio gliding vehicle was proposed on the basis of the linear pseudospectral model predictive control method. Adopting this approach, the vehicle can arrive at the end of the entry flight with the specific heading angle. Moreover, all the typical constraints such as terminal state constraints and path constraints can be satisfied as well. Firstly, the agent technology using high dimensional polynomials was applied to generalize the lift to drag ratio, hence the analytical expression of the lift to drag ratio was obtained with respect to the energy and the angle of attack. Therefore the angle of attack was designed online to adjust the lift to drag ratio, which can enhance the trajectory planning capacity. The whole entry flight was divided into two phases noted as the descent phase and the gliding phase respectively. In the descent phase, in order to limit the maximum heating rate, the angle of attack remains the maximum allowance value and the bank angle was set to zero. During the gliding phase, the linear pseudospectral model predictive control method was applied. The reduced order dynamic model was formulated to predict the terminal state deviation, and the reduced order dynamic equation was linearized to obtain the error propagation equation. Due to the complexity of the integral calculation, Gauss pseudospectral method was used to derive the correction of the control variables. Finally, terminal state deviations involving final position and heading angle can be efficiently eliminated by modifying the angle of attack parameters, the bank angle parameters and the energy parameters of two bank reversal points. This method is simple and easy to implement with high accuracy, and it is convenient for on-line calculation. The simulation results also show that the planning requirements can be satisfied well through this method.

孙建波, 潘幸华, 杨良, 陈万春, 赵育善. 滑翔飞行器线性伪谱模型预测控制三维轨迹规划[J]. 红外与激光工程, 2020, 49(9): 20200279. Jianbo Sun, Xinghua Pan, Liang Yang, Wanchun Chen, Yushan Zhao. 3D trajectory planning for gliding vehicle using linear pseudospectral model predictive control[J]. Infrared and Laser Engineering, 2020, 49(9): 20200279.

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