Geodesic
Non-fragile observers design for nonlinear systems with unknown Lipschitz constant
Kybernetika, Tome 60 (2024) no. 4, pp. 475-491 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, the problem of globally asymptotically stable non-fragile observer design is investigated for nonlinear systems with unknown Lipschitz constant. Firstly, a definition of globally asymptotically stable non-fragile observer is given for nonlinear systems. Then, an observer function of output is derived by an output filter, and a dynamic high-gain is constructed to deal with unknown Lipschitz constant. Even the observer gains contain diverse large disturbances, the observer errors are proven to converge to the origin based on Lyapunov stability theorem and a matrix inequality. Finally, an experimental simulation is provided to confirm the validity of the proposed method.
In this paper, the problem of globally asymptotically stable non-fragile observer design is investigated for nonlinear systems with unknown Lipschitz constant. Firstly, a definition of globally asymptotically stable non-fragile observer is given for nonlinear systems. Then, an observer function of output is derived by an output filter, and a dynamic high-gain is constructed to deal with unknown Lipschitz constant. Even the observer gains contain diverse large disturbances, the observer errors are proven to converge to the origin based on Lyapunov stability theorem and a matrix inequality. Finally, an experimental simulation is provided to confirm the validity of the proposed method.
DOI : 10.14736/kyb-2024-4-0475
Classification : 93C10
Keywords: non-fragile; observer; high gain; unknown Lipschitz constant; output filter 
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     title = {Non-fragile observers design for nonlinear systems with unknown {Lipschitz} constant},
     journal = {Kybernetika},
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     year = {2024},
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Zhou, Fan; Shen, Yanjun; Wu, Zebin. Non-fragile observers design for nonlinear systems with unknown Lipschitz constant. Kybernetika, Tome 60 (2024) no. 4, pp. 475-491. doi: 10.14736/kyb-2024-4-0475

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