Discrete-Time Control Barrier Function: High-Order Case and Adaptive Case
Autor: | Yuhan Xiong, Di-Hua Zhai, Mahdi Tavakoli, Yuanqing Xia |
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Rok vydání: | 2023 |
Předmět: | |
Zdroj: | IEEE Transactions on Cybernetics. 53:3231-3239 |
ISSN: | 2168-2275 2168-2267 |
Popis: | This article proposes the novel concepts of the high-order discrete-time control barrier function (CBF) and adaptive discrete-time CBF. The high-order discrete-time CBF is used to guarantee forward invariance of a safe set for discrete-time systems of high relative degree. An optimization problem is then established unifying high-order discrete-time CBFs with discrete-time control Lyapunov functions to yield a safe controller. To improve the feasibility of such optimization problems, the adaptive discrete-time CBF is designed, which can relax constraints on system control input through time-varying penalty functions. The effectiveness of the proposed methods in dealing with high relative degree constraints and improving feasibility is verified on the discrete-time system of a three-link manipulator. |
Databáze: | OpenAIRE |
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