Robust Observer-based control of switched nonlinear systems with quantized and sampled output
Kybernetika, Tome 51 (2015) no. 1, pp. 59-80 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This paper deals with the robust stabilization of a class of nonlinear switched systems with non-vanishing bounded perturbations. The nonlinearities in the systems satisfy a quasi-Lipschitz condition. An observer-based linear-type switching controller with quantized and sampled output signal is considered. Using a dwell-time approach and an extended version of the invariant ellipsoid method (IEM) sufficient conditions for stability in a practical sense are derived. These conditions are represented as Bilinear Matrix Inequalities (BMI's). Finally, two examples are given to verify the efficiency of the proposed method.
This paper deals with the robust stabilization of a class of nonlinear switched systems with non-vanishing bounded perturbations. The nonlinearities in the systems satisfy a quasi-Lipschitz condition. An observer-based linear-type switching controller with quantized and sampled output signal is considered. Using a dwell-time approach and an extended version of the invariant ellipsoid method (IEM) sufficient conditions for stability in a practical sense are derived. These conditions are represented as Bilinear Matrix Inequalities (BMI's). Finally, two examples are given to verify the efficiency of the proposed method.
DOI : 10.14736/kyb-2015-1-0059
Classification : 93C30, 93C57, 93C62, 93D21
Keywords: switched systems; robust stabilization; quantization
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     author = {Perez, Carlos and Mera, Manuel},
     title = {Robust {Observer-based} control of switched nonlinear systems with quantized and sampled output},
     journal = {Kybernetika},
     pages = {59--80},
     year = {2015},
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     doi = {10.14736/kyb-2015-1-0059},
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     zbl = {06433832},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-1-0059/}
}
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Perez, Carlos; Mera, Manuel. Robust Observer-based control of switched nonlinear systems with quantized and sampled output. Kybernetika, Tome 51 (2015) no. 1, pp. 59-80. doi: 10.14736/kyb-2015-1-0059

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