Title :
On the relative and multiplicative model reductions
Author :
Chen, Xiang ; Zhou, Kemin
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
A new relative error model reduction method is proposed using frequency weighted balanced realization and inner-outer factorizations. Explicit L∞ norm error bounds are also derived for the relative error and multiplicative error. A computer example is also given in the paper showing that the improved error bounds by Wang and Safonov (1990, 1992) are in fact wrong. We consider the problem of reducing the order of a linear multivariable dynamical system
Keywords :
error analysis; multivariable control systems; reduced order systems; error bounds; frequency weighted balanced realization; inner-outer factorizations; linear multivariable dynamical system; multiplicative error; multiplicative model reductions; norm error bounds; relative error model reduction method; relative model reductions; Approximation error; Approximation methods; Computer errors; Counting circuits; Frequency; Postal services; Reduced order systems; Riccati equations; State-space methods; Stochastic processes;
Conference_Titel :
System Theory, 1995., Proceedings of the Twenty-Seventh Southeastern Symposium on
Conference_Location :
Starkville, MS
Print_ISBN :
0-8186-6985-3
DOI :
10.1109/SSST.1995.390617
