Optimal Control
Optimal Control
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DOI：
10.1007/978-3-030-78731-8_5
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发表时间：
2021-11
期刊：
影响因子：
--
通讯作者：
Hai Lin;P. Antsaklis
中科院分区：
文献类型：
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作者：
Hai Lin;P. Antsaklis
在混合系统的最优控制中，设计稳定控制律来优化，即最小化或最大化适当的性能准则。自20世纪50年代以来，最优控制一直是系统与控制领域的一个活跃研究领域，当时引入了庞特里亚金的最小原理和贝尔曼的动态规划等开创性贡献。自20世纪90年代中期以来，混合系统的最优控制问题引起了广泛的关注，文献中已经报道了大量的研究。早期的研究可以在控制系统文献中找到，涉及继电器或具有迟滞[1]的动力系统。对于使用不同形式的混合系统的动态规划和庞特里亚金最小原理的扩展，已经投入了大量的努力，例如，[2-7]和其中的参考文献。
In the optimal control of hybrid systems, a stabilizing control law is designed to optimize, i.e., minimize or maximize, an appropriate performance criterion. Optimal control has been an active research area in Systems and Control, at least, since the 1950s, when seminal contributions such as Pontryagin’s minimum principle and Bellman’s dynamic programming were introduced. Optimal control problems for hybrid systems have attracted considerable attention since the mid 1990s, and extensive studies have been reported in the literature. Early studies may be found in the control systems literature involving relays or dynamical systems with hysteresis [1]. Significant efforts have been devoted to the extensions of dynamic programming and Pontryagin’s minimum principle to hybrid systems using different formalisms, see e.g., [2–7] and the references therein.