Title :
Passivity analysis and control of nonlinear oscillations in systems with cubic nonlinearities
Author :
Kristiansen, D. ; Egeland, O.
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim, Norway
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
In this paper we investigate passivity properties of systems with cubic nonlinear coupling terms. We derive sufficient conditions for a 2-DOF system with general cubic non-linearities to be passive. This is done by showing that the system can be divided into three passive subsystems connected in feedback. In the cases where the passivity conditions are satisfied, the result can be applied e.g. in the design of vibration damping controllers. It is straightforward to extend these results to an arbitrary n-DOF system with cubic nonlinearities.
Keywords :
control system analysis; control system synthesis; feedback; nonlinear control systems; oscillations; vibration control; 2-DOF system; cubic nonlinearities; nonlinear control oscillation; passivity analysis; passivity conditions; vibration damping controller design; Couplings; Damping; Nonlinear dynamical systems; Oscillators; Perturbation methods; Resonant frequency; Vibrations; Passivity; modal interactions. vibration damping; nonlinear oscillations;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
