1. Generalizing Robust Control Barrier Functions From a Controller Design Perspective
- Author
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Anil Alan, Tamas G. Molnar, Aaron D. Ames, and Gabor Orosz
- Subjects
Control barrier function ,model uncertainty ,robust safety ,safe control ,safety filter ,Control engineering systems. Automatic machinery (General) ,TJ212-225 ,Technology - Abstract
While control barrier functions provide a powerful tool to endow controllers with formal safety guarantees, robust control barrier functions (RCBF) can be used to extend these guarantees for systems with model inaccuracies. This paper presents a generalized RCBF framework that unifies and extends existing notions of RCBFs for a broad class of model uncertainties. Main results are conditions for robust safety through generalized RCBFs. We apply these generalized principles for more specific design examples: a worst-case type design, an estimation-based design, and a tunable version of the latter. These examples are demonstrated to perform increasingly closer to an oracle design with ideal model information. Theoretical contributions are demonstrated on a practical example of a pendulum with unknown periodic excitation. Using numerical simulations, a comparison among design examples are carried out based on a performance metric depicting the increased likeness to the oracle design.
- Published
- 2025
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