线性系统时间最优控制问题的一类数值计算方法

A Class of Numerical Method for Time Optimal Control of Linear Systems

针对控制系统为线性常微分方程的时间最优控制问题,利用时间最优控制问题与范数最优控制问题的等价性,提出一种新的求解时间最优控制问题的数值算法.将无梯度优化算法用于处理范数最优控制问题目标函数的非光滑性,数值实验结果验证了算法的有效性.

For the time optimal control problem with linear ordinary differential equations,a new numerical algorithm for solving time optimal control problem was proposed by using the equivalence of time optimal control problem and norm optimal control problem.The derivative free optimization algorithm was used to deal with the non-smooth structure of the objective function of the norm optimal control problem.The numerical experimental results show the effectiveness of the algorithm.