Dynamic output-feedback control for continuous-time interval positive systems under L1 performance

Xiaoming Chen, Mou Chen, Wenhai Qi and Jun Shen

Applied Mathematics and Computation, 2016, vol. 289, issue C, 48-59

Abstract: This paper is concerned with the design of L1-induced dynamic output-feedback controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and L1-induced performance of positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust dynamic output-feedback controllers are established and an iterative convex optimization approach is developed to solve the conditions. One illustrative example is provided to show the effectiveness and applicability of the theoretical results.

Keywords: Interval uncertainties; Iterative algorithm; Linear Lyapunov functions; L1-induced performance; Output-feedback; Positive systems (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316303009
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:289:y:2016:i:c:p:48-59

DOI: 10.1016/j.amc.2016.05.002

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().