Title :
Spatial balanced model reduction for flexible structures
Author :
Moheimani, S. O Reza ; Pota, Hemanshu R. ; Petersen, Ian R.
Author_Institution :
Dept. of Electr. Eng., Australian Defence Force Acad., Campbell, Australia
Abstract :
This paper considers the problem of balanced model reduction for a class of distributed parameter systems. The system is assumed to have a finite-dimensional state vector as well as a finite dimensional input vector. However, the output is allowed to be of infinite dimension. This often occurs in the modelling of physical systems such as flexible structures, acoustic duets, etc. It is shown that a reduced model based on balanced truncation guarantees an upper bound on the H∞ norm of the error system
Keywords :
H∞ control; distributed parameter systems; flexible structures; multidimensional systems; reduced order systems; H∞ control; acoustic duets; distributed parameter systems; flexible structures; input vector; spatial balanced model reduction; state vector; upper bound; Acoustic beams; Controllability; Differential equations; Distributed parameter systems; Ducts; Flexible structures; Force measurement; Observability; Reduced order systems; Upper bound;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.612028
