0382354 20240111140821.420121031235959.9 6 s. C cav_un_epca*0382347978-612-4057-71-71-5LimaTarea Asociación Gráfica Educativa, Lima, Peru2012 Observer sum-of-squares Lyapunov function 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. dokument 143 kB LG12008 GA MŠk CZ cav_un_auth*0281712 A simple method for designing an observer for a polynomial system is described here. The method is based on the use of the sum of squares to ensure stability of the observer. The main idea is to design a Lyapunov function so that its derivative along trajectories is a polynomial that can be expressed as a sum of squares of polynomials multiplied by a negative constant. The described method allows to use nonquadratic terms in the Lyapunov function that is crucial for the design of the observer. The in°uence of these nonquadratic terms is the subject of investigation. The results are illustrated by simulation results. cav_un_auth*0284759 15th Latinamerican Control Conference CLCA 2012 Lima 23.10.2012-26.10.2012 PE 2013 BC 1 PR RVO:67985556 http://hdl.handle.net/11104/0212593 2012 dokument 143 kB cav_un_epca*0382347 Memoria XV Congreso Latinoamericano de Control Automático CLCA 2012 Proceedings 978-612-4057-71-7 1 5 Memory XV Latin American Congress on Automatic Control CLCA 2012 Proceedings Lima Tarea Asociación Gráfica Educativa, Lima, Peru 2012 2012-12868