Title :
Hierarchical optimisation in ℋ∞
Author :
Halikias, G.D. ; Jaimoukha, I.M.
Author_Institution :
Dept. of Electron. & Electr. Eng., Leeds Univ., UK
Abstract :
In this paper an hierarchical optimal central problem is considered, which involves an ℋ∞ cost in the primary problem and an ℋ∞-norm type or a quadratic secondary objective. Using an allpass dilation technique and results from superoptimal interpolation theory, it is shown that the problem can be reduced to a multi-disk minimisation in terms of a free parameter of reduced dimensions. At this stage, convex programming techniques may be employed to obtain a numerical solution to the problem
Keywords :
H∞ control; H∞ optimisation; convex programming; hierarchical systems; interpolation; nonlinear programming; H∞ control; H∞ optimisation; allpass dilation; convex programming; hierarchical optimisation; multi-disk minimisation; quadratic secondary objective; superoptimal interpolation; Cost function; Design optimization; Educational institutions; Functional programming; H infinity control; Interpolation; Linear programming; Optimal control; Systems engineering and theory; Upper bound;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479160
