Title :
Frequency-Weighted Model Reduction Method with Error Bounds for 2-D Separable Denominator Discrete Systems
Author :
Ghafoor, Abdul ; Wang, Jing ; Sreeram, Victor
Author_Institution :
Sch. of Electr. & Electron. Comput. Eng., Western Australia Univ., Nedlands, WA
Abstract :
Frequency weighted model reduction scheme for 2-D separable denominator discrete time systems is presented. The method yields the stable reduced order models for stable separable denominator original systems. The method is based on 1-D balanced truncation. It is easily extendable to singular perturbation and optimal Hankel norm based approximations. The bound on the approximation error is also derived
Keywords :
discrete time systems; reduced order systems; singularly perturbed systems; stability; 1D balanced truncation; 2D separable denominator discrete time system; error bounds; frequency-weighted model reduction method; optimal Hankel norm approximation; singular perturbation; stable reduced order model; Approximation error; Approximation methods; Controllability; Discrete time systems; Filters; Frequency response; Observability; Reduced order systems; Stability; State-space methods;
Conference_Titel :
Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation
Conference_Location :
Limassol
Print_ISBN :
0-7803-8936-0
DOI :
10.1109/.2005.1467070