Geodesic
Sum-of-squares based observer design for polynomial systems with a known fixed time delay
Kybernetika, Tome 51 (2015) no. 5, pp. 856-873.

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An observer for a system with polynomial nonlinearities is designed. The system is assumed to exhibit a time delay whose value is supposed to be constant and known. The design is carried out using the sum-of-squares method. The key point is defining a suitable Lyapunov-Krasovskii functional. The resulting observer is in form of a polynomial in the observable variables. The results are illustrated by two examples.
DOI : 10.14736/kyb-2015-5-0856
Classification : 93B51
Keywords: sum-of-squares polynomial; observer; polynomial system 
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Rehák, Branislav. Sum-of-squares based observer design for polynomial systems with a known fixed time delay. Kybernetika, Tome 51 (2015) no. 5, pp. 856-873. doi : 10.14736/kyb-2015-5-0856. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-5-0856/

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