Title :
Error bounds for frequency weighted balanced truncation and relative error model reduction
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 explicit L∞ norm error bounds are also derived for the relative error and multiplicative error. The method only needs to solve two Lyapunov equations. It is further shown that this method is equivalent to the balanced stochastic truncation if the plant is square and minimum phase
Keywords :
Lyapunov methods; control system synthesis; modelling; Lyapunov equations; balanced stochastic truncation; balanced truncation; error bounds; explicit ℒ∞ norm error bounds; frequency weighted balanced realization; multiplicative error; relative error model reduction method; square minimum-phase plant; Approximation methods; Binary search trees; Computer errors; Electronic mail; Frequency conversion; Reduced order systems; Riccati equations; State-space methods; Stochastic processes; Stochastic systems;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325831
