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Homogeneous Approximation, Recursive Observer Design, and Output Feedback
Open accessAbstract
We introduce two new tools that can be useful in nonlinear observer and output feedback design. The first one is a simple extension of the notion of homogeneous approximation to make it valid both at the origin and at infinity (homogeneity in the bi-limit). Exploiting this extension, we give several results concerning stability and robustness for a homogeneous in the bi-limit vector field. The second tool is a new recursive observer design procedure for a chain of integrator. Combining these two tools, we propose a new global asymptotic stabilization result by output feedback for feedback and feedforward systems.
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Cited by
A class of predefined-time stable dynamical systems
Sánchez-Torres, J. D., Gómez-Gutiérrez, D., López, E., & Loukianov, A. G. (2018) · IMA Journal of Mathematical Control and Information · doi:10.1093/imamci/dnx004 · Cited by 570
Stability notions and Lyapunov functions for sliding mode control systems
Polyakov, A., & Fridman, L. (2014) · Journal of the Franklin Institute · doi:10.1016/j.jfranklin.2014.01.002 · Cited by 420
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
Adaptive fixed-time stabilization for a class of nonlinear uncertain systems
Zhao, Y., Yao, J., Tian, J., & Yu, J. (2023) · Mathematical Biosciences and Engineering · doi:10.3934/mbe.2023359 · Cited by 9
Metadata
- Authors
- Andrieu, V., Praly, L., & Astolfi, A.
- Venue
- SIAM Journal on Control and Optimization
- Published
- 2008-01
- Volume
- 47
- Issue
- 4
- Pages
- 1814-1850
- ISSN
- 0363-0129 (ISSN-L)
- 1095-7138
- OpenAlex
- W2092991598
- Cited by
- 870
- References
- 0
- FWCI
- 23.44
- Type
- journal article
- Language
- en
- Open access
- green
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- Andrieu, V., Praly, L., & Astolfi, A. (2008). Homogeneous Approximation, Recursive Observer Design, and Output Feedback. SIAM Journal on Control and Optimization. https://doi.org/10.1137/060675861
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