Monotone Numerical Schemes and Feedback Construction for Hybrid Control Systems
Monotone Numerical Schemes and Feedback Construction for Hybrid Control Systems
复制标题
混合控制系统的单调数值方案和反馈构造
DOI：
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发表时间：
2015
影响因子：
1.9
通讯作者：
H. Zidani
中科院分区：
文献类型：
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作者：
R. Ferretti;H. Zidani
混合系统是一个通用框架，可以对一组连续和离散动态混合在单个系统中时出现的一大类控制系统进行建模。在本文中，我们研究与混合系统控制问题相关的值函数的单调数值近似的收敛性。我们还讨论了反馈重构并得出近似反馈控制律的收敛结果。给出了一些数值例子来显示单调近似方案的鲁棒性。
Hybrid systems are a general framework which can model a large class of control systems arising whenever a set of continuous and discrete dynamics are mixed in a single system. In this paper, we study the convergence of monotone numerical approximations of value functions associated to control problems governed by hybrid systems. We discuss also the feedback reconstruction and derive a convergence result for the approximate feedback control law. Some numerical examples are given to show the robustness of the monotone approximation schemes.