A cone Complementarity Linearization Algorithm for Static Output-Feedback and Related Problems (1997)
| Venue: | IEEE Transaction on Automatic Control |
| Citations: | 21 - 0 self |
BibTeX
@ARTICLE{Ghaoui97acone,
author = {Laurent El Ghaoui and Francois Oustry and Mustapha Aitrami},
title = {A cone Complementarity Linearization Algorithm for Static Output-Feedback and Related Problems},
journal = {IEEE Transaction on Automatic Control},
year = {1997},
pages = {1171--1176}
}
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Abstract
Abstract—This paper describes a linear matrix inequality (LMI)-based algorithm for the static and reduced-order output-feedback synthesis problems of nth-order linear time-invariant (LTI) systems with nu (respectively, ny) independent inputs (respectively, outputs). The algorithm is based on a “cone complementarity ” formulation of the problem and is guaranteed to produce a stabilizing controller of order m n 0 max(nu;ny), matching a generic stabilizability result of Davison and Chatterjee [7]. Extensive numerical experiments indicate that the algorithm finds a controller with order less than or equal to that predicted by Kimura’s generic stabilizability result (m n0nu0ny+1). A similar algorithm can be applied to a variety of control problems, including robust control synthesis. Index Terms — Complementarity problem, linear matrix inequality, reduced-order stabilization, static output feedback. I.
