Title :
The σ-reciprocal system for model reduction of k-power bilinear systems
Author :
Xie, Baohui ; Syrmos, Vassilis L.
Author_Institution :
Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA
Abstract :
In this paper the σ-reciprocal system for the k-power bilinear system is defined. We introduce the σ-reciprocal bilinear system and we show that the bilinear generalized singular perturbation approximation (GSPA) is related to the direct truncation of its σ-reciprocal bilinear system. Model reduction algorithms based on the analysis of the σ-reciprocal bilinear system are given. Numerical example is reported for the proposed model reduction methods
Keywords :
asymptotic stability; bilinear systems; reduced order systems; singularly perturbed systems; σ-reciprocal system; bilinear generalized singular perturbation approximation; direct truncation; k-power bilinear systems; model reduction; Algorithm design and analysis; Control systems; Ear; Fission reactors; Heat transfer; Hydraulic drives; Machine tools; Nonlinear systems; Orbital robotics; Reduced order systems;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.577463
