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Article

Rehák, Branislav
Sum-of-squares based observer design for polynomial systems with a known fixed time delay. (English). Kybernetika, vol. 51 (2015), issue 5, pp. 856-873
MSC: 93B51 | MR 3445988 | Zbl 06537784 | DOI: 10.14736/kyb-2015-5-0856
Keywords:
sum-of-squares polynomial; observer; polynomial system
Summary:
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.
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