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An optimization approach to static output-feedback control of LTI positive systems with delayed measurements

Version 2 2024-06-13, 13:13
Version 1 2019-08-09, 08:40
journal contribution
posted on 2024-06-13, 13:13 authored by LV Hien, MT Hong
In this paper, we investigate the static output-feedback stabilization problem for LTI positive systems with a time-varying delay in the state and output vectors. By exploiting the induced monotonicity, necessary and sufficient conditions ensuring exponential stability of the closed-loop system are first quoted. Based on the derived stability conditions, necessary and sufficient stabilization conditions are formulated in terms of matrix inequalities. This general setting is then transformed into suitable vertex optimization problems by which necessary and sufficient conditions for the existence of a desired static output-feedback controller are obtained. The proposed synthesis conditions are presented in the form of linear programming conditions, which can be effectively solved by various convex algorithms.

History

Journal

Journal of the Franklin Institute

Volume

356

Pagination

5087-5103

Location

Amsterdam, The Netherlands

ISSN

0016-0032

Language

eng

Publication classification

C Journal article, C1.1 Refereed article in a scholarly journal

Copyright notice

2019, The Franklin Institute

Issue

10

Publisher

Elsevier