Title :
Balanced reduction of high-dimensional mechanical systems: a block-balancing approach
Author :
Wortelboer, Pepijn M R
Author_Institution :
Philips Res. Lab., Eindhoven, Netherlands
Abstract :
An efficient scheme for balanced reduction of high-dimensional models of lightly damped mechanical systems is developed. Given a modal realization, closed-form solutions of the reachability and observability Gramians exist that are only block-diagonalized by means of a subspace iteration. The subspace dimension is based on the Gramian diagonals. This iteration has rapid convergence for most lightly damped systems and gives accurate reduction results even for (almost) nonminimal systems. The block-balancing algorithm is especially suited for Hankel norm calculation
Keywords :
controllability; iterative methods; multidimensional systems; observability; Gramian diagonals; Hankel norm; balanced reduction; block-balancing; convergence; high-dimensional mechanical systems; iterative method; lightly damped mechanical systems; observability; reachability; Closed-form solution; Control system synthesis; Convergence; Damping; Eigenvalues and eigenfunctions; Frequency estimation; Laboratories; Lighting control; Mechanical systems; Observability; Symmetric matrices;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261762
