文章基本信息

标题：Certifying Optimality in Hybrid Control Systems via Lyapunov-like Conditions ⁎
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作者：Francesco Ferrante ; Ricardo G. Sanfelice
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：16
页码：245-250
DOI：10.1016/j.ifacol.2019.11.786
语种：English
出版社：Elsevier
摘要：We formulate an optimal control problem for hybrid systems with inputs and propose conditions for the design of state-feedback laws solving the optimal control problem. The optimal control problem has the flavor of an infinite horizon problem, but it also allows solutions to have a bounded domain of definition, which is possible in hybrid systems with deadlocks. Design conditions for optimal feedback laws are obtained by relating a quite general hybrid cost functional to a Lyapunov like function. These conditions guarantee closed-loop optimality and are given by constrained steady-state-like Hamilton-Jacobi-Bellman-type equations. Applications and examples of the proposed results are presented.
关键词：KeywordsHybrid systemsOptimal ControlLyapunov theory