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| A Survey on the Control Lyapunov Function and Control Barrier Function for Nonlinear-Affine Control Systems | |
| Boqian Li; Shiping Wen; Zheng Yan; Guanghui Wen; Tingwen Huang | |
| Source Publication | IEEE/CAA Journal of Automatica Sinica
 |
| ISSN | 2329-9266 |
| 2023 | |
| Volume | 10Issue:3Pages:584-602 |
| Abstract | This survey provides a brief overview on the control Lyapunov function (CLF) and control barrier function (CBF) for general nonlinear-affine control systems. The problem of control is formulated as an optimization problem where the optimal control policy is derived by solving a constrained quadratic programming (QP) problem. The CLF and CBF respectively characterize the stability objective and the safety objective for the nonlinear control systems. These objectives imply important properties including controllability, convergence, and robustness of control problems. Under this framework, optimal control corresponds to the minimal solution to a constrained QP problem. When uncertainties are explicitly considered, the setting of the CLF and CBF is proposed to study the input-to-state stability and input-to-state safety and to analyze the effect of disturbances. The recent theoretic progress and novel applications of CLF and CBF are systematically reviewed and discussed in this paper. Finally, we provide research directions that are significant for the advance of knowledge in this area. |
| Keyword | Control barrier function (CBF) control Lyapunov function (CLF) nonlinear-affine control systems |
| DOI | 10.1109/JAS.2023.123075 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.ia.ac.cn/handle/173211/51175 |
| Collection | 学术期刊_IEEE/CAA Journal of Automatica Sinica |
| Recommended Citation GB/T 7714 | Boqian Li,Shiping Wen,Zheng Yan,et al. A Survey on the Control Lyapunov Function and Control Barrier Function for Nonlinear-Affine Control Systems[J]. IEEE/CAA Journal of Automatica Sinica,2023,10(3):584-602. |
| APA | Boqian Li,Shiping Wen,Zheng Yan,Guanghui Wen,&Tingwen Huang.(2023).A Survey on the Control Lyapunov Function and Control Barrier Function for Nonlinear-Affine Control Systems.IEEE/CAA Journal of Automatica Sinica,10(3),584-602. |
| MLA | Boqian Li,et al."A Survey on the Control Lyapunov Function and Control Barrier Function for Nonlinear-Affine Control Systems".IEEE/CAA Journal of Automatica Sinica 10.3(2023):584-602. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| JAS-2022-1415.pdf（2663KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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