Title :
Hierarchical optimization in H∞
Author :
Halikias, G.D. ; Jaimoukha, I.M.
Author_Institution :
Dept. of Electron. & Electr. Eng., Leeds Univ., UK
fDate :
8/1/1998 12:00:00 AM
Abstract :
This paper considers a hierarchical optimal control problem which involves an optimal H∞-norm cost in the primary problem and an H∞-norm type or a quadratic secondary objective. Using allpass dilation techniques and results from superoptimal interpolation theory, it is shown that the problem can be reduced to a multidisk minimization in terms of a free parameter of reduced dimensions. Convex programming techniques may then be employed to obtain a numerical solution to the problem
Keywords :
H∞ control; convex programming; hierarchical systems; interpolation; minimisation; allpass dilation techniques; convex programming; hierarchical optimal control problem; multidisk minimization; optimal H∞-norm cost; quadratic secondary objective; reduced dimensions; superoptimal interpolation theory; Cost function; Design optimization; Interpolation; Linearity; Optimal control; Optimization methods; Robust control; Robust stability; Systems engineering and theory;
Journal_Title :
Automatic Control, IEEE Transactions on
