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本文研究了摄动双积分系统的时间－燃料最优控制问题，用理想双积分系统时间－燃料最优切换线的改进形式，构造了摄动双积分系统的反馈控制律，证明了闭环系统的鲁棒收敛性．算例表明，反馈控制律与最优控制律具有相近的控制结果．
In this paper, we study the time-and-fuel optimal control problem of a perturbed bi-integral system. By using the improved time-to-fuel optimal switching scheme of the ideal bi-integral system, we construct the feedback control law of the perturbed bi-integral system. Robust convergence. The example shows that the feedback control law and the optimal control law have similar control results.