Convex Co-Design of Control Barrier Function and Safe Feedback Controller Under Input Constraints

Autor: Wang, Han, Margellos, Kostas, Papachristodoulou, Antonis, De Persis, Claudio
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We study the problem of co-designing control barrier functions (CBF) and linear state feedback controllers for continuous-time linear systems. We achieve this by means of a single semi-definite optimization program. Our formulation can handle mixed-relative degree problems without requiring an explicit safe controller. Different L-norm based input limitations can be introduced as convex constraints in the proposed program. We demonstrate our results on an omni-directional car numerical example.
Comment: manuscript submitted to TAC
Databáze: arXiv