Asymptotical stabilization of the nonlinear upper triangular fractional-order systems

Asymptotical stabilization of the nonlinear upper triangular fractional-order systems

Abstract This paper introduces a simple method of the design of the output feedback stabilizing controller (OFSC) for the nonlinear upper triangular fractional-order systems (NUTFOS). The OFSC which makes the closed-loop system asymptotically stable is given based on the fractional indirect Lyapunov...

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Main Authors: Yige Zhao, Yibing Sun, Yilin Wang, Zhanbing Bai
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Advances in Difference Equations
Subjects:
Nonlinear fractional-order system
Upper triangular system
Output feedback
Stabilizing controller
Fractional indirect Lyapunov method
Online Access:http://link.springer.com/article/10.1186/s13662-019-2098-0
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spelling doaj-521a29e1674049109e72ff7dc7f6b1e32020-11-25T02:47:48ZengSpringerOpenAdvances in Difference Equations1687-18472019-04-012019111110.1186/s13662-019-2098-0Asymptotical stabilization of the nonlinear upper triangular fractional-order systemsYige Zhao0Yibing Sun1Yilin Wang2Zhanbing Bai3School of Mathematical Sciences, University of JinanSchool of Mathematical Sciences, University of JinanBusiness School, University of JinanCollege of Mathematics and System Science, Shandong University of Science and TechnologyAbstract This paper introduces a simple method of the design of the output feedback stabilizing controller (OFSC) for the nonlinear upper triangular fractional-order systems (NUTFOS). The OFSC which makes the closed-loop system asymptotically stable is given based on the fractional indirect Lyapunov method and the static gain control method. Furthermore, an algorithm is established to design OFSC for the NUTFOS. Finally, an example is presented to verify the validity of the proposed method.http://link.springer.com/article/10.1186/s13662-019-2098-0Nonlinear fractional-order systemUpper triangular systemOutput feedbackStabilizing controllerFractional indirect Lyapunov method
collection DOAJ
language English
format Article
sources DOAJ
author Yige Zhao
Yibing Sun
Yilin Wang
Zhanbing Bai
spellingShingle Yige Zhao
Yibing Sun
Yilin Wang
Zhanbing Bai
Asymptotical stabilization of the nonlinear upper triangular fractional-order systems
Advances in Difference Equations
Nonlinear fractional-order system
Upper triangular system
Output feedback
Stabilizing controller
Fractional indirect Lyapunov method
author_facet Yige Zhao
Yibing Sun
Yilin Wang
Zhanbing Bai
author_sort Yige Zhao
title Asymptotical stabilization of the nonlinear upper triangular fractional-order systems
title_short Asymptotical stabilization of the nonlinear upper triangular fractional-order systems
title_full Asymptotical stabilization of the nonlinear upper triangular fractional-order systems
title_fullStr Asymptotical stabilization of the nonlinear upper triangular fractional-order systems
title_full_unstemmed Asymptotical stabilization of the nonlinear upper triangular fractional-order systems
title_sort asymptotical stabilization of the nonlinear upper triangular fractional-order systems
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-04-01
description Abstract This paper introduces a simple method of the design of the output feedback stabilizing controller (OFSC) for the nonlinear upper triangular fractional-order systems (NUTFOS). The OFSC which makes the closed-loop system asymptotically stable is given based on the fractional indirect Lyapunov method and the static gain control method. Furthermore, an algorithm is established to design OFSC for the NUTFOS. Finally, an example is presented to verify the validity of the proposed method.
topic Nonlinear fractional-order system
Upper triangular system
Output feedback
Stabilizing controller
Fractional indirect Lyapunov method
url http://link.springer.com/article/10.1186/s13662-019-2098-0
work_keys_str_mv AT yigezhao asymptoticalstabilizationofthenonlinearuppertriangularfractionalordersystems
AT yibingsun asymptoticalstabilizationofthenonlinearuppertriangularfractionalordersystems
AT yilinwang asymptoticalstabilizationofthenonlinearuppertriangularfractionalordersystems
AT zhanbingbai asymptoticalstabilizationofthenonlinearuppertriangularfractionalordersystems
_version_ 1724751301729845248

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