Safe Feedback Optimization through Control Barrier Functions
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908826221936640 |
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| author | Delimpaltadakis, Giannis Mestres, Pol Cortés, Jorge Heemels, W. P. M. H. |
| author_facet | Delimpaltadakis, Giannis Mestres, Pol Cortés, Jorge Heemels, W. P. M. H. |
| contents | Feedback optimization refers to a class of methods that steer a control system to a steady state that solves an optimization problem. Despite tremendous progress on the topic, an important problem remains open: enforcing state constraints at all times. The difficulty in addressing it lies on mediating between the safety enforcement and the closed-loop stability, and ensuring the equivalence between closed-loop equilibria and the optimization problem's critical points. In this work, we present a feedback-optimization method that enforces state constraints at all times employing high-order control-barrier functions. We provide several results on the proposed controller dynamics, including well-posedness, safety guarantees, equivalence between equilibria and critical points, and local and global (in certain convex cases) asymptotic stability of optima. Various simulations illustrate our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09928 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Safe Feedback Optimization through Control Barrier Functions Delimpaltadakis, Giannis Mestres, Pol Cortés, Jorge Heemels, W. P. M. H. Optimization and Control Systems and Control Feedback optimization refers to a class of methods that steer a control system to a steady state that solves an optimization problem. Despite tremendous progress on the topic, an important problem remains open: enforcing state constraints at all times. The difficulty in addressing it lies on mediating between the safety enforcement and the closed-loop stability, and ensuring the equivalence between closed-loop equilibria and the optimization problem's critical points. In this work, we present a feedback-optimization method that enforces state constraints at all times employing high-order control-barrier functions. We provide several results on the proposed controller dynamics, including well-posedness, safety guarantees, equivalence between equilibria and critical points, and local and global (in certain convex cases) asymptotic stability of optima. Various simulations illustrate our results. |
| title | Safe Feedback Optimization through Control Barrier Functions |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2602.09928 |