Optimal control computation for nonlinear systems with state-dependent stopping criteria
Optimal control computation for nonlinear systems with state-dependent stopping criteria
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DOI：
10.1016/j.automatica.2012.06.055
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发表时间：
2012-09
期刊：
影响因子：
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通讯作者：
Qun Lin;R. Loxton;K. Teo;Yonghong Wu
中科院分区：
文献类型：
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作者：
Qun Lin;R. Loxton;K. Teo;Yonghong Wu
在本文中，我们考虑了一个具有挑战性的最优控制问题，其中的终端时间是由停止准则。这个停止准则是由状态空间中的光滑曲面定义的;当状态轨迹碰到这个曲面时，支配动态系统停止。通过限制控制分段常数函数，我们得到一个有限维近似的最优控制问题。然后，我们开发了一个有效的计算方法，基于非线性规划，解决近似问题。最后，我们总结了四个数值例子的文件。
In this paper, we consider a challenging optimal control problem in which the terminal time is determined by a stopping criterion. This stopping criterion is defined by a smooth surface in the state space; when the state trajectory hits this surface, the governing dynamic system stops. By restricting the controls to piecewise constant functions, we derive a finite-dimensional approximation of the optimal control problem. We then develop an efficient computational method, based on nonlinear programming, for solving the approximate problem. We conclude the paper with four numerical examples.