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

0452279 20240903170633.920151215235959.9 000368042700009 84951131239 10.14736/kyb-2015-5-0856 Sum-of-squares based observer design for polynomial systems with a known fixed time delay 18 s. P cav_un_epca*02971630023-5954Kybernetika515 (2015)858-873Ústav teorie informace a automatizace AV ČR, v. v. i. sum-of-squares polynomial observer polynomial system cav_un_auth*0216347 Rehák Branislav Teorie řízení Department of Control Theory TŘ TR UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. článek v odborném periodiku http://www.kybernetika.cz/content/2015/5/856 413 kB GA13-02149S GA ČR cav_un_auth*0292733 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 dening 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. 2016 BC 1 RVO:67985556 http://hdl.handle.net/11104/0253583 S COMPUTERSCIENCE.CYBERNETICS 0.578 0.031 999.9 0.00152 0.305 678 0.321 Q2 0.438 64 Q4 30.893 11.4 Q3 Q3 11.364 2015 84951131239 SCOPUS 000368042700009 WOS článek v odborném periodiku 413 kB cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 51 č. 5 2015 858 873 Ústav teorie informace a automatizace AV ČR, v. v. i.