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Uniformly Observable and Globally Lipschitzian Nonlinear Systems Admit Global Finite-Time Observers
Abstract
There exist semi-global and finite-time converging observers for nonlinear systems that are uniformly observable and globally Lipschitzian. This was achieved with local finite-time stability theory, together with application of the technique of high-gain observers (the gain is constant). Under the same conditions, it is shown that these systems admit global finite-time observers. The proposed finite-time observers are based on a modified version of high-gain observer (now the gain is an exponential function with arbitrary growth rate). Design procedures are worked out for such observers, and a numerical example is presented to show the effectiveness of the proposed method.
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Cites
Nonlinear controllability and observability
Hermann, R., & Krener, A. (1977) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1977.1101601 · Cited by 2,374
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Metadata
- Authors
- Shen, Y., & Huang, Y.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2009-11
- Volume
- 54
- Issue
- 11
- Pages
- 2621-2625
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2063644516
- Cited by
- 194
- References
- 1
- FWCI
- 12.82
- Type
- journal article
- Language
- en
- Open access
- closed
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- Shen, Y., & Huang, Y. (2009). Uniformly Observable and Globally Lipschitzian Nonlinear Systems Admit Global Finite-Time Observers. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2009.2029298
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