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Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints
Abstract
The problem of stabilization for a class of feedback linearizable systems with multiple state constraints is addressed. The design procedure is constructive, and yields a continuous final control law which guarantees that all specified states remain within certain bounds for all time. The achieved bounds on the states are independent of the initial conditions. The procedure entails shaping the control Lyapunov function, and propagating hard-bounds imposed on the pertinent stabilising functions and associated error signals through the steps of the backstepping control design framework.
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Cited by
Yu, J., Zhao, L., Yu, H., & Lin, C. (2019) · Automatica · doi:10.1016/j.automatica.2019.03.022 · Cited by 285
Li, Y., Tong, S., & Li, T. (2014) · Fuzzy Sets and Systems · doi:10.1016/j.fss.2013.11.006 · Cited by 269
Xu, Z., Sun, C., Hu, X., Liu, Q., & Yao, J. (2023) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2023.3236114 · Cited by 113
Metadata
- Authors
- Ngo, K. B., Mahony, R., & Jiang, Z.-P.
- Venue
- Proceedings of the 44th IEEE Conference on Decision and Control
- Publisher
- IEEE
- Published
- 2006-10-04
- Pages
- 8306-8312
- ISSN
- 0191-2216 (ISSN-L)
- OpenAlex
- W2153389562
- Cited by
- 509
- References
- 0
- FWCI
- 5.90
- Type
- conference paper
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints. https://app.cochat.ai/papers/10.1109/cdc.2005.1583507
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- Ngo, K. B., Mahony, R., & Jiang, Z.-P. (2006). Integrator Backstepping using Barrier Functions for Systems with Multiple State Constraints. Proceedings of the 44th IEEE Conference on Decision and Control. https://doi.org/10.1109/cdc.2005.1583507
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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