In this paper we propose an efficient computation approach to minimize the H-infinity-norm of a transfer-function matrix depending affinely on a set of free parameters. The minimization problem, formulated as a semi-infinite convex programming problem, is solved via a relaxation approach over a finite set of frequency values. In this way, a significant speed up is achieved by avoiding the solution of high order LMIs resulting by equivalently formulating the minimization problem as a high dimensional semidefinite programming problem. Numerical results illustrate the superiority of proposed approach over LMIs based techniques in solving zero order H-infinity-norm approximation problems.
Fast Algorithms for Solving H-infinity-Norm Minimization Problems
2001 ; Orlando, Florida (USA)
Proc. of CDC 2001 ; 1-6
2001-11-01
Conference paper
Electronic Resource
English
Local active sound control using 2-norm and (infinity)-norm pressure minimization
Online Contents | 2000
|Flutter Analysis by Using H-Infinity Norm
British Library Conference Proceedings | 2009
|Flutter Analysis by Using H-Infinity Norm
AIAA | 2009
|A Norm-Minimization Algorithm for Solving the Lost-in-Space Problem with XNAV
Springer Verlag | 2024
|Sequential L ∞ Norm Minimization for Triangulation
Springer Verlag | 2007
|