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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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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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 |