{ "id": "2403.09865", "version": "v1", "published": "2024-03-14T20:55:55.000Z", "updated": "2024-03-14T20:55:55.000Z", "title": "Safety-Critical Control for Autonomous Systems: Control Barrier Functions via Reduced-Order Models", "authors": [ "Max H. Cohen", "Tamas G. Molnar", "Aaron D. Ames" ], "comment": "To appear in Annual Reviews in Control", "categories": [ "cs.SY", "cs.RO", "eess.SY" ], "abstract": "Modern autonomous systems, such as flying, legged, and wheeled robots, are generally characterized by high-dimensional nonlinear dynamics, which presents challenges for model-based safety-critical control design. Motivated by the success of reduced-order models in robotics, this paper presents a tutorial on constructive safety-critical control via reduced-order models and control barrier functions (CBFs). To this end, we provide a unified formulation of techniques in the literature that share a common foundation of constructing CBFs for complex systems from CBFs for much simpler systems. Such ideas are illustrated through formal results, simple numerical examples, and case studies of real-world systems to which these techniques have been experimentally applied.", "revisions": [ { "version": "v1", "updated": "2024-03-14T20:55:55.000Z" } ], "analyses": { "keywords": [ "control barrier functions", "reduced-order models", "safety-critical control", "autonomous systems", "high-dimensional nonlinear dynamics" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }