Conference · 1995
Mixed objective control synthesis: optimal l1/H2 control
M. V. Salapaka, M. Dahleh and P. Voulgaris
Proceedings of the American Control Conference
Abstract
In this paper we consider the problem of minimizing the l1 norm of the transfer function from the exogenous input to the regulated output over all internally stabilizing controllers while keeping its H2 norm under a specified level. The problem is analysed for the discrete-time, SISO, linear time invariant case. It is shown that an optimal solution always exists. Duality theory is employed to show that any optimal solution is a finite impulse response sequence and an a priori bound is given on its length. The problem is reduced to a finite dimensional convex optimization problem with an a priori determined dimension. Finally it is shown that, in the region of interest of the H2 constraint level the optimal is unique and continuous with respect to changes in the constraint level
BibTeX
@inproceedings{salapaka-1995-mixed-objective-control-synthesis-optimal-l1-h2-control,
title = {Mixed objective control synthesis: optimal l1/H2 control},
author = {M. V. Salapaka and M. Dahleh and P. Voulgaris},
booktitle = {Proceedings of the American Control Conference},
year = {1995}
}