Robust stabilization and disturbance rejection of positive systems with time-varying delays and actuator saturation
type: Item
instance of: scholarly article
title: Robust stabilization and disturbance rejection of positive systems with time-varying delays and actuator saturation
zbMATH Open document ID: 1394.93256
DOI: 10.1155/2015/125343
author: Xi Ding
author: Zhengrong Xiang
author: Chunyu Yang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper focuses on the problems of robust stabilization and disturbance rejection for a class of positive systems with time-varying delays and actuator saturation. First, a convex hull representation is used to describe the saturation characteristics. By constructing an appropriate copositive type Lyapunov functional, we give sufficient conditions for the existence of a state feedback controller such that the closed-loop system is positive and asymptotically stable at the origin of the state space with a domain of attraction. Then, the disturbance rejection performance analysis in the presence of actuator saturation is developed via \(L_1\)-gain. The design method is also extended to investigate the problem of \(L_1\)-gain analysis for uncertain positive systems with time-varying delays and actuator saturation. Finally, three examples are provided to demonstrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 6925514
MaRDI profile type: Publication
Wikidata QID: Q59117304
full work available at URL: https://doi.org/10.1155/2015/125343
OpenAlex ID: W2053565142
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description: scientific article; zbMATH DE number 6925514