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Adaptive control of nonlinearly parameterized systems: the smooth feedback case
Abstract
Studies global adaptive control of nonlinearly parameterized systems with uncontrollable linearization. Using a parameter separation technique and the tool of adding a power integrator, we develop a feedback domination design approach for the explicit construction of a smooth adaptive controller that solves the problem of global state regulation. In contrast to the existing results in the literature, a key feature of our adaptive regulator is its minimum-order property, namely, no matter how big the number of unknown parameters is, the order of the dynamic compensator is identical to one, and is therefore minimal. As a consequence, global state regulation of feedback linearizable systems with nonlinear parameterization is achieved by one-dimensional adaptive controllers, without imposing any extra (e.g., convex/concave) conditions on the unknown parameters.
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Cited by
A new approach to fast global finite-time stabilization of high-order nonlinear system
Sun, Z.-Y., Yun, M.-M., & Li, T. (2017) · Automatica · doi:10.1016/j.automatica.2017.04.024 · Cited by 292
ADP-Based Decentralized Controller Design for Nonlinear Time-Delay Interconnected Systems
Chen, N., Luo, Z., Li, B., Luo, B., Chen, J., Yang, C., & Gui, W. (2024) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2024.3388530 · Cited by 22
Stability Preservation of Nonlinear Systems With Sampled-Delayed Input
Wang, Y., & Lin, W. (2022) · IEEE Control Systems Letters · doi:10.1109/lcsys.2022.3175767 · Cited by 16
Self-citationLiu, X., & Lin, W. (2022) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2022.3201007 · Cited by 13
Self-citationZhu, J., & Li, S. (2024) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2024.01.034 · Cited by 11
Metadata
- Authors
- Lin, W., & Qian, C.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2002-08
- Volume
- 47
- Issue
- 8
- Pages
- 1249-1266
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2115607130
- Cited by
- 631
- References
- 0
- FWCI
- 15.21
- Type
- journal article
- Language
- en
- Open access
- closed
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