Certifying Optimality in Hybrid Control Systems via Lyapunov-like Conditions. Issue 16 (2019)

• Record Type: Journal Article
• Authors: Ferrante, Francesco; Sanfelice, Ricardo G.
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 16(2019)
• Page Start: 245
• Page End: 250
• Publication Date: 2019
• Subjects: Hybrid systems -- Optimal Control -- Lyapunov theory; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.11.786
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: 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.