Robust absolutely stable Lurie systems
Ljubomir T. Grujić, DJORDJIJA B. PETKOVSKI · International Journal of Control · 1987
This paper considers the robustness of Lurie systems with multiple non-linearities subject to modelling uncertainties and large parameter variations in the system dynamics. New robustness results on Lurie systems are presented which lead to a reduction of conservatism in robustness tests of absolute stability. It is shown that if the perturbations lie along given directions, it is possible to calculate a sector such that the perturbations belonging to the given direction do not disturb system stability. The proposed approaches for robustness analysis are based on the Popov frequency domain criterion as well as on the algebraic criterion for the absolute stability. The robustness results are illustrated by a second-order numerical example.