Guaranteed cost finite-time control of fractional-order positive switched systems
type: Item
instance of: scholarly article
title: Guaranteed cost finite-time control of fractional-order positive switched systems
zbMATH Open document ID: 1401.93118
DOI: 10.1155/2017/2695894
author: Leipo Liu
author: Xiangyang Cao
author: Zhumu Fu
author: Shuzhong Song
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: The problem of guaranteed cost finite-time control of Fractional-Order Positive Switched Systems (FOPSS) is considered in this paper. Firstly, a new cost function is defined. Then, by constructing linear copositive Lyapunov functions and using the Average Dwell Time (ADT) approach, a state feedback controller and a static output feedback controller are constructed, respectively, and sufficient conditions are derived to guarantee that the corresponding closed-loop systems are Guaranteed Cost Finite-Time Stable (GCFTS). Such conditions can be easily solved by linear programming. Finally, two examples are given to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 6962600
zbMATH Keywords: finite-time control
zbMATH Keywords: positive switched systems
zbMATH Keywords: state feedback controller
zbMATH Keywords: linear programming
Wikidata QID: Q59142339
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2695894
OpenAlex ID: W2617524121
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description: scientific article; zbMATH DE number 6962600