Title :
Model reduction and H∞ norm computation for state-space symmetric systems
Author :
Liu, W.Q. ; Sreeram, V. ; Teo, K.L.
Author_Institution :
Sch. of Electr. & Inf. Eng., Univ. of Sydney, NSW, Australia
Abstract :
In this paper, the model reduction and H∞ norm computation for state-space symmetric systems are investigated. First, it is shown that several model reduction methods, such as balanced truncation, balanced truncation which preserves the DC gain, optimal Hankel approximation and suboptimal Hankel approximation inherit the state-space symmetric property. Next, an explicit formula for computing H∞ norm of state-space symmetric systems is given
Keywords :
H∞ control; approximation theory; reduced order systems; state-space methods; H∞ norm; Hankel approximation; SISO systems; balanced truncation; model reduction; state-space symmetric systems; Australia; MIMO; Mathematics; Reduced order systems; Stability; State-space methods; Statistics; Steady-state; Symmetric matrices; Transient response;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758666
