2019/08/10 by Kazumune Hashimoto, Hashimoto, Kazumune, Adnane Saoud +7
Computer Science · Decision Sciences · #Dynamical Systems (math.DS) #FOS: Mathematics #Formal Methods in Verification #Optimization and Control (math.OC) #Petri Nets in System Modeling #Simulation Techniques and Applications
paper · pdf · doi:10.48550/arxiv.1908.04750
openalex publication_date 2019/08/10 · openalex created_date 2019/08/22 · openalex updated_date 2026/07/28
In this paper, we investigate novel self-triggered controllers for nonlinear control systems with reachability and safety specifications. To synthesize the self-triggered controller, we leverage the notion of symbolic models, or abstractions, which represent abstracted expressions of control systems. The symbolic models will be constructed through the concepts of approximate alternating simulation relations, based on which, and by employing a reachability game, the self-triggered controller is synthesized. We illustrate the effectiveness of the proposed approach through numerical simulations.