Journal · 1996
Controller design to optimize a composite performance measure
M. V. Salapaka, P. Voulgaris, and M. Dahleh
Journal of Optimization Theory and Applications
Abstract
This paper studies a mixed objective problem of minimizing l-infinity, l2, and l1-norms together with the l-infinity norm of the step response of the closed loop. This performance index can be used to generate Pareto-optimal solutions with respect to the individual measures. The problem is analyzed for discrete-time, singleinput single-output (SISO), linear time-invariant systems. It is shown via Lagrange duality theory that the problem can be reduced to a convex optimization problem with a priori known dimension. In addition, continuity of the unique optimal solution with respect to changes in the coefficients of the linear combination that defines the performance measure is established.
BibTeX
@article{salapaka-1996-controller-design-to-optimize-a-composite-performance-measur,
title = {Controller design to optimize a composite performance measure},
author = {M. V. Salapaka and P. Voulgaris and M. Dahleh},
journal = {Journal of Optimization Theory and Applications},
year = {1996}
}