DocumentCode
3594220
Title
L∞ -norm calculation for generalized state space systems in continuous and discrete time
Author
Bongers, Peter M M ; Bosgra, Okko H. ; Steinbuch, Maarten
Author_Institution
Lab. Measurement and Control, Dept. Mechanical Eng. and Marine Techn., Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands.
fYear
1991
Firstpage
1637
Lastpage
1639
Abstract
A fast algorithm is presented to compute the L∞-norm for generalized state space representations of continuous and discrete-time systems. The L∞-norm of a generalized discrete time system is dircetly caclulated without having recourse to a bilinear transformation. The algorithm is based on the relation between the singular values of the transfer function matrix and the eigenvalues of a related Hamiltonian matrix. The norm is computed with guaranteed accuracy.
Keywords
Algorithm design and analysis; Control system analysis; Control systems; Discrete time systems; Eigenvalues and eigenfunctions; Frequency; Laboratories; Robust control; State-space methods; Transfer functions; H∞-control; Hamiltonian matrix; L∞-norm; continuous-time; discrete-time; generalized state space; singular values;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1991
Print_ISBN
0-87942-565-2
Type
conf
Filename
4791655
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