On Optimal Control of Flat Hybrid Automata. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Zahn, Frederik; Kleinert, Tobias; Hagenmeyer, Veit
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 6800
• Page End: 6805
• Publication Date: 2020
• Subjects: Flat hybrid automata -- differential flatness -- hybrid -- switched systems modeling -- optimal control of hybrid systems; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.332
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Recently, Flat Hybrid Automata (FHA) were introduced as a new model class of hybrid systems. In order to answer the evident question of an optimal operation of the new class of FHA, a well-posed optimization problem definition for FHA is presented. This problem formulation also includes costs on discrete–state transitions and switching actions. We present a solution for a reduced problem: FHA with autonomous switching. For these, a new algorithm is introduced which solves the optimal control problem. The application of this optimization algorithm is shown with an electrical network example.