Title :
Model reduction of linear conservative mechanical systems
Author :
Van der Schaft, A.J. ; Oeloff, J.E.
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
fDate :
6/1/1990 12:00:00 AM
Abstract :
An approach for model reduction of linear conservative or weakly damped mechanical systems is proposed. It is based on the balancing of an associated gradient system. It uses the joint knowledge of the system matrix and the input and output matrices of the Hamiltonian system. The key idea is to associate with the Hamiltonian system a gradient (or reciprocal) system
Keywords :
damping; linear systems; matrix algebra; Hamiltonian system; conservative systems; gradient system; linear systems; mechanical systems; model reduction; weakly damped systems; Automatic control; Control systems; Eigenvalues and eigenfunctions; Equations; Jacobian matrices; Mechanical systems; Reduced order systems; Regulators; Testing; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on