Title :
Notch filters for port-Hamiltonian systems
Author :
Dirksz, Daniel A. ; Scherpen, Jacquelien M. A. ; van der Schaft, A.J. ; Steinbuch, Maarten
Author_Institution :
Fac. of Mech. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
Abstract :
In this paper a standard notch filter is modeled in the port-Hamiltonian framework. By having such a port-Hamiltonian description it is proven that the notch filter is a passive system. The notch filter can then be interconnected with another (nonlinear) port-Hamiltonian system, while preserving the overall passivity property. By doing so we can combine a frequency-based control method, the notch filter, with the nonlinear control methodology of passivity-based control.
Keywords :
electric variables control; frequency control; nonlinear control systems; notch filters; frequency-based control; nonlinear control; notch filter; passive system; passivity property; passivity-based control; port-Hamiltonian system; Attenuation; Damping; Frequency control; Mechanical systems; Standards; Symmetric matrices; Vectors;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6315150
