Stabilization for Singular Fractional-Order Systems via Static Output Feedback

Ying Guo; Chong Lin; Bing Chen; Qing Guo Wang

doi:10.1109/ACCESS.2018.2882065

Stabilization for Singular Fractional-Order Systems via Static Output Feedback

Ying Guo, Chong Lin, Bing Chen, Qing Guo Wang

Electrical and Electronic Engineering Science

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

The stabilization problem of singular fractional-order systems with fractional commensurate order 0 < α < 2 via static output feedback is studied in this paper. For the 0 < α < 1 case, two methods for the static output feedback control design are provided. In the first method, the controller is designed without decomposing the system matrix, and less variables are within the second method. Furthermore, a method that is similar to the second method of the 0 < α< 1 case is provided for the 1≤ α< 2 case. The controller parameters are computed by solving matrix inequalities, and efficient iterative algorithms are built to solve the resultant matrix inequalities. Numerical examples are provided to show the effectiveness of the proposed results.

Original language	English
Article number	8542662
Pages (from-to)	71678-71684
Number of pages	7
Journal	IEEE Access
Volume	6
DOIs	https://doi.org/10.1109/ACCESS.2018.2882065
Publication status	Published - 2018

Keywords

Singular fractional-order systems
iterative algorithm
linear matrix inequality (LMI)
static output feedback

ASJC Scopus subject areas

General Computer Science
General Materials Science
General Engineering

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10.1109/ACCESS.2018.2882065

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title = "Stabilization for Singular Fractional-Order Systems via Static Output Feedback",

abstract = "The stabilization problem of singular fractional-order systems with fractional commensurate order 0 < α < 2 via static output feedback is studied in this paper. For the 0 < α < 1 case, two methods for the static output feedback control design are provided. In the first method, the controller is designed without decomposing the system matrix, and less variables are within the second method. Furthermore, a method that is similar to the second method of the 0 < α< 1 case is provided for the 1≤ α< 2 case. The controller parameters are computed by solving matrix inequalities, and efficient iterative algorithms are built to solve the resultant matrix inequalities. Numerical examples are provided to show the effectiveness of the proposed results.",

keywords = "Singular fractional-order systems, iterative algorithm, linear matrix inequality (LMI), static output feedback",

author = "Ying Guo and Chong Lin and Bing Chen and Wang, {Qing Guo}",

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year = "2018",

doi = "10.1109/ACCESS.2018.2882065",

language = "English",

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AU - Lin, Chong

AU - Chen, Bing

AU - Wang, Qing Guo

PY - 2018

Y1 - 2018

N2 - The stabilization problem of singular fractional-order systems with fractional commensurate order 0 < α < 2 via static output feedback is studied in this paper. For the 0 < α < 1 case, two methods for the static output feedback control design are provided. In the first method, the controller is designed without decomposing the system matrix, and less variables are within the second method. Furthermore, a method that is similar to the second method of the 0 < α< 1 case is provided for the 1≤ α< 2 case. The controller parameters are computed by solving matrix inequalities, and efficient iterative algorithms are built to solve the resultant matrix inequalities. Numerical examples are provided to show the effectiveness of the proposed results.

AB - The stabilization problem of singular fractional-order systems with fractional commensurate order 0 < α < 2 via static output feedback is studied in this paper. For the 0 < α < 1 case, two methods for the static output feedback control design are provided. In the first method, the controller is designed without decomposing the system matrix, and less variables are within the second method. Furthermore, a method that is similar to the second method of the 0 < α< 1 case is provided for the 1≤ α< 2 case. The controller parameters are computed by solving matrix inequalities, and efficient iterative algorithms are built to solve the resultant matrix inequalities. Numerical examples are provided to show the effectiveness of the proposed results.

KW - Singular fractional-order systems

KW - iterative algorithm

KW - linear matrix inequality (LMI)

KW - static output feedback

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ER -

Stabilization for Singular Fractional-Order Systems via Static Output Feedback

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Keywords

ASJC Scopus subject areas

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