Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model

This paper concerns robust stabilization of nonlinear fractional order interconnected systems. Based on uncertain fractional order Takagi–Sugeno fuzzy model and the fractional order extension of lyapunov direct method, a parallel distributed compensate controller is designed to asymptotically stabil...

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Main Author: Yuting Li
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/5386960
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author Yuting Li
author_facet Yuting Li
author_sort Yuting Li
collection DOAJ
description This paper concerns robust stabilization of nonlinear fractional order interconnected systems. Based on uncertain fractional order Takagi–Sugeno fuzzy model and the fractional order extension of lyapunov direct method, a parallel distributed compensate controller is designed to asymptotically stabilize the fractional order interconnected systems. Then, a sufficient condition is given in the format of linear matrix inequalities. Simulation example is given to validate the effectiveness of the approach.
format Article
id doaj-art-f7eb4b5d1b9640e482479c426d0f9df1
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-f7eb4b5d1b9640e482479c426d0f9df12025-02-03T01:20:27ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/53869605386960Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy ModelYuting Li0Xi’an Aeronautical University, Xi’an 710077, ChinaThis paper concerns robust stabilization of nonlinear fractional order interconnected systems. Based on uncertain fractional order Takagi–Sugeno fuzzy model and the fractional order extension of lyapunov direct method, a parallel distributed compensate controller is designed to asymptotically stabilize the fractional order interconnected systems. Then, a sufficient condition is given in the format of linear matrix inequalities. Simulation example is given to validate the effectiveness of the approach.http://dx.doi.org/10.1155/2020/5386960
spellingShingle Yuting Li
Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model
Complexity
title Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model
title_full Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model
title_fullStr Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model
title_full_unstemmed Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model
title_short Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model
title_sort robust stabilization of nonlinear fractional order interconnected systems based on t s fuzzy model
url http://dx.doi.org/10.1155/2020/5386960
work_keys_str_mv AT yutingli robuststabilizationofnonlinearfractionalorderinterconnectedsystemsbasedontsfuzzymodel