Lyapunov Function based Set Point Generator
نویسندگان
چکیده
Zusammenfassung Der Beitrag beschreibt ein LyapunovFunktionen-basiertes Führungsfilter für lineare Strecken mit Stellgrößenbegrenzung. Ziel des Filters ist es, die Abhängigkeit zwischen der zu stabilisierenden Ruhelage und der Größe des mit Lyapunov-Funktionen nachweisbaren Einzugsbereichs zu überwinden. Hierdurch kann erreicht werden, dass für alle Ruhelagen im System der gleiche Einzugsbereich nachgewiesen werden kann. Dieser umfasst die Vereinigungsmenge aller Abschätzungen ohne Führungsfilter. Summary This paper presents a Lyapunov function based method for generating set points for linear systems with input saturation. Aim of the method is to overcome the dependecy between the place of the equilibrium point and the size of its approximated domain of attraction shown by Lyapunov functions. As a result all equlibrium points of a system share the same approximation for their domain of attraction, which is formed by the set union of all former approximations without the set point generator.
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