Geodesic
Robust Observer-based control of switched nonlinear systems with quantized and sampled output
Kybernetika, Tome 51 (2015) no. 1, pp. 59-80.

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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.
DOI : 10.14736/kyb-2015-1-0059
Classification : 93C30, 93C57, 93C62, 93D21
Keywords: switched systems; robust stabilization; quantization 
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     title = {Robust {Observer-based} control of switched nonlinear systems with quantized and sampled output},
     journal = {Kybernetika},
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     publisher = {mathdoc},
     volume = {51},
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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. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-1-0059/

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