Title :
Multiobjective H2/H∞ by Banach space operator theory
Author :
Djouadi, S.M. ; Charalambous, C.D. ; Repperger, D.W.
Author_Institution :
Syst. Eng. Dept, Arkansas Univ., Little Rock, AR, USA
Abstract :
Banach space duality theory and operator theory are combined to show that the optimal performance index in the multiobjective H2 /H∞ problem is equal to the operator induced norm of a particular operator. This operator is shown to act on special Banach spaces, and is a projection of a multiplication operator. Finally, under a certain continuity assumption, it is shown that there exist maximal vectors, which leads to an exact solution to the multiobjective H2/H∞ problem
Keywords :
Banach spaces; H∞ optimisation; matrix algebra; performance index; vectors; Banach space duality theory; Banach space operator theory; continuity assumption; maximal vectors; multiobjective H2/H∞ problem; multiplication operator; operator induced norm; optimal performance index; Algebra; Bismuth; Discrete time systems; Hilbert space; Hydrogen; Transfer functions;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980511
