Certifying Optimality in Hybrid Control Systems via Lyapunov-like Conditions <ce:cross-ref refid='fn1'> <ce:sup loc='post'>?</ce:sup> </ce:cross-ref>

Francesco Ferrante; Ricardo G. Sanfelice

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Certifying Optimality in Hybrid Control Systems via Lyapunov-like Conditions ?

机译：通过Lyapunov样条件证明混合控制系统中的最优性？

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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.

机译：我们为具有输入的混合系统提供了最佳控制问题，并提出了解决最佳控制问题的状态反馈法律的条件。最佳控制问题具有无限的地平问题的风味，但它还允许解决方案具有有界域的定义域，这在具有死锁的混合系统中是可能的。通过对Lyapunov的相当普遍的混合性成本函数与类似功能相当一般的混合成本函数来获得最佳反馈法律的设计条件。这些条件保证了闭环最优性，并由受约束的稳态汉密尔顿 - jacobi-bellman型方程给出。提出了所提出的结果的应用和示例。

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《IFAC PapersOnLine》 |2019年第16期|共6页
作者
Francesco Ferrante; Ricardo G. Sanfelice;
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Hybrid systemsOptimal ControlLyapunov theory;

机译：Hybrid SystemsOptimal Controllyapunov理论;

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Certifying Optimality in Hybrid Control Systems via Lyapunov-like Conditions ?

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