Title :
Spectral expression for the frequency-limited ℋ2-norm of LTI dynamical systems with high order poles
Author :
Vuillemin, P. ; Poussot-Vassal, C. ; Alazard, D.
Author_Institution :
Univ. de Toulouse, Toulouse, France
Abstract :
In this paper, the spectral expression of the frequency-limited ℋ2-norm, firstly presented in [18], is extended to the case of LTI dynamical systems which are not diagonalizable. This extension is achieved by considering partial fraction decomposition of the transfer function associated to a system which is in a Jordan form. Besides, examples are presented to illustrate the behaviour of the frequency-limited ℋ2-norm and to compare it with the commonly used frequency-weighted ℋ2-norm.
Keywords :
H2 control; linear systems; poles and zeros; transfer functions; Jordan form; LTI dynamical systems; frequency-limited H2-norm; frequency-weighted H2-norm; high order poles; partial fraction decomposition; spectral expression; transfer function; Approximation methods; Atmospheric modeling; Computational modeling; Frequency response; Gain; MIMO; Transfer functions;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862158
