Sum-of-squares based observer design for polynomial systems with a known fixed time delay

Rehák, Branislav

Kybernetika, Tome 51 (2015) no. 5, pp. 856-873

Abstract (VO)

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.

Détail

DOI : 10.14736/kyb-2015-5-0856

Classification : 93B51
Keywords: sum-of-squares polynomial; observer; polynomial system

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