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Online optimal midcourse trajectory modification algorithm for hypersonic vehicle interceptions

机译:高超声速车辆拦截的在线最优中途轨迹修正算法

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This paper presents an online optimal midcourse trajectory modification algorithm for the hypersonic interceptions based on the neighboring optimal control theory, which takes the current states deviations and the revised terminal constraints as inputs and generates the optimal control modifications. Firstly, the midcourse guidance for hypersonic interception is introduced as an optimal control problem, which is solved with the well-developed Gauss Pseudospectral Method (GPM) to generate a nominal trajectory that satisfies the first order optimality conditions. Secondly, the Neighboring Optimal Trajectory Existence Theory (NOTET) is given and the first order optimality equations are further differentiated to second order to acquire the control modifications. The perturbations of the terminal co-states are expressed with the current states perturbations and the revised terminal constraints by solving the second order equations and inversely integrating the perturbation dynamic equations. The optimality of the proposed algorithm is proved. Finally, five different interception scenarios are simulated and comparisons are made with particle swarm optimization (PSO) method and GPM. Simulation results reveal that the proposed method has the merits of high precision equivalent with GPM and better computing efficiency than PSO and GPM, which testifies the effectiveness and online application feasibility. (C) 2016 Elsevier Masson SAS. All rights reserved.
机译:提出了一种基于邻域最优控制理论的高超声速拦截在线中途轨迹修正算法,该算法以当前状态偏差和修正后的终端约束为输入,并产生最优的控制修正。首先,引入高超声速拦截的中段制导作为最优控制问题,通过完善的高斯伪谱方法(GPM)对其进行求解,以生成满足一阶最优性条件的标称轨迹。其次,给出了相邻最优轨迹存在理论(NOTET),并将一阶最优方程进一步微分为二阶以获得控制修正。通过求解二阶方程并反积分扰动动力学方程,将最终共态的扰动与当前状态扰动和修正的终端约束条件一起表示。证明了所提算法的最优性。最后,模拟了五个不同的拦截场景,并与粒子群优化(PSO)方法和GPM进行了比较。仿真结果表明,与PSO和GPM相比,该方法具有与GPM相当的精度和更高的计算效率,证明了该方法的有效性和在线应用的可行性。 (C)2016 Elsevier Masson SAS。版权所有。

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