DocumentCode :
2555938
Title :
Singular perturbation analysis of system order reduction via system balancing
Author :
Gajic, Zoran ; Lelic, Muhidin
Author_Institution :
Dept. of Electr. & Comput. Eng., Rutgers Univ., Piscataway, NJ, USA
Volume :
4
fYear :
2000
fDate :
2000
Firstpage :
2420
Abstract :
In this paper we first present several alternative techniques for system order reduction based on system balancing by employing the method of singular perturbations. The techniques obtained have the same robustness accuracy evaluated with respect to the H norm of the reduced-order system as the two techniques existing in the control literature known as the direct truncation and balancing residualization methods. We propose how to perform order-reduction of a balanced system using theory of singular perturbations that can produce very good accuracy at high frequencies particularly for systems that have lightly damped highly oscillatory modes. The result obtained for such kind of systems requires that the modes with higher Hankel singular values should be neglected and those with smaller Hankel singular values should be retained, which is counter-intuitive result in the spirit of H theory, but an intuitive result in the spirit of theory of singular perturbations. This result raises an important question about validity of the system robustness estimate based on the H norm for linear systems with lightly damped highly oscillatory modes
Keywords :
H control; Hankel matrices; reduced order systems; robust control; singularly perturbed systems; H norm; Hankel singular values; lightly damped highly oscillatory modes; reduced-order system; robustness accuracy; singular perturbation analysis; singular perturbations; system balancing; system order reduction; Control systems; Controllability; Equations; Linear systems; Observability; Reduced order systems; Robust control; Robustness; Transfer functions; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
ISSN :
0743-1619
Print_ISBN :
0-7803-5519-9
Type :
conf
DOI :
10.1109/ACC.2000.878615
Filename :
878615
Link To Document :
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