Conference · 2001
Optimal controller synthesis with multiple objectives
Qi, X., M. H. Khammash, and M. V. Salapaka
Proceedings of the 2001 American Control Conference, Arlington VA
Abstract
We present a methodology to address the general multiobjective control problem involving the 1 norm,l2 norm, l-infinity norm and time-domain constraint. We show that the problem resulting from imposing a regularizing condition always admits an optimal solution, and suboptimal solutions with performance arbitrarily close to the optimal cost can be obtained by constructing two sequences of finite dimensional convex optimization problems whose objective values converge to the optimum from below and above. A numerical example is presented to illustrate the effectiveness of the proposed methodologyWe present a methodology to address the general multiobjective control problem involving the 1 norm, l2 norm, l-infinity norm and time-domain constraint. We show that the problem resulting from imposing a regularizing condition always admits an optimal solution, and suboptimal solutions with performance arbitrarily close to the optimal cost can be obtained by constructing two sequences of finite dimensional convex optimization problems whose objective values converge to the optimum from below and above. A numerical example is presented to illustrate the effectiveness of the proposed methodology
BibTeX
@inproceedings{qi-2001-optimal-controller-synthesis-with-multiple-objectives,
title = {Optimal controller synthesis with multiple objectives},
author = {Qi and X. and M. H. Khammash and M. V. Salapaka},
booktitle = {Proceedings of the 2001 American Control Conference, Arlington VA},
year = {2001}
}