Title :
Poles residues descent algorithm for optimal frequency-limited ℋ2 model approximation
Author :
Vuillemin, P. ; Poussot-Vassal, C. ; Alazard, D.
Author_Institution :
Univ. de Toulouse, Toulouse, France
Abstract :
Model approximation of multiple-inputs/multiple-outputs (MIMO) linear dynamical systems over a bounded frequency range can be expressed as an optimization problem in terms of the frequency-limited ℋ2-norm. In this paper, a new formulation of the frequency-limited ℋ2 model approximation error is presented and its gradient derived. It is then used in a descent algorithm which does not require to solve any Lyapunov equations but one eigenvalue problem for the full-order model. The efficiency of the method is illustrated through numerical benchmarks.
Keywords :
H2 control; Lyapunov methods; approximation theory; eigenvalues and eigenfunctions; optimal control; poles and zeros; Lyapunov equations; eigenvalue problem; full-order model; optimal frequency-limited H2 model approximation error; poles residues descent algorithm; Approximation algorithms; Approximation error; Eigenvalues and eigenfunctions; Mathematical model; Optimization; Reduced order systems;
Conference_Titel :
Control Conference (ECC), 2014 European
Conference_Location :
Strasbourg
Print_ISBN :
978-3-9524269-1-3
DOI :
10.1109/ECC.2014.6862152
