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.
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;
Conference_Titel :
American Control Conference, 1991
Print_ISBN :
0-87942-565-2
