Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model

Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model

This paper presents a proportional parallel distributed compensation (PPDC) design to the robust stabilization and tracking control of the nonlinear dynamic system, which is described by the uncertain and perturbed Takagi–Sugeno (T-S) fuzzy model. The proposed PPDC control design can greatly reduce...

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Main Authors: Chekib Ghorbel, Amira Tiga, Naceur Benhadj Braiek
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/8910132
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spelling doaj-af4211501f934bcf8f50f2bceb82e82a2020-11-25T02:30:56ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/89101328910132Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S ModelChekib Ghorbel0Amira Tiga1Naceur Benhadj Braiek2Laboratory of Advanced Systems, Polytechnic High School of Tunisia, University of Carthage, BP 743 2078 La Marsa, Tunis, TunisiaLaboratory of Advanced Systems, Polytechnic High School of Tunisia, University of Carthage, BP 743 2078 La Marsa, Tunis, TunisiaLaboratory of Advanced Systems, Polytechnic High School of Tunisia, University of Carthage, BP 743 2078 La Marsa, Tunis, TunisiaThis paper presents a proportional parallel distributed compensation (PPDC) design to the robust stabilization and tracking control of the nonlinear dynamic system, which is described by the uncertain and perturbed Takagi–Sugeno (T-S) fuzzy model. The proposed PPDC control design can greatly reduce the number of adjustable parameters involved in the original PDC and separate them from the feedback gain. Furthermore, the process of finding the common quadratic Lyapunov matrix is simplified. Then, the global asymptotic stability with decay rate and disturbance attenuation of the closed-loop T-S model affected by uncertainties and external disturbances are discussed using the H∞ synthesis and linear matrix inequality (LMI) tools. Finally, to illustrate the merit of our purpose, numerical simulation studies of stabilizing and tracking an inverted pendulum system are presented.http://dx.doi.org/10.1155/2020/8910132
collection DOAJ
language English
format Article
sources DOAJ
author Chekib Ghorbel
Amira Tiga
Naceur Benhadj Braiek
spellingShingle Chekib Ghorbel
Amira Tiga
Naceur Benhadj Braiek
Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model
Complexity
author_facet Chekib Ghorbel
Amira Tiga
Naceur Benhadj Braiek
author_sort Chekib Ghorbel
title Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model
title_short Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model
title_full Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model
title_fullStr Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model
title_full_unstemmed Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model
title_sort proportional pdc design-based robust stabilization and tracking control strategies for uncertain and disturbed t-s model
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description This paper presents a proportional parallel distributed compensation (PPDC) design to the robust stabilization and tracking control of the nonlinear dynamic system, which is described by the uncertain and perturbed Takagi–Sugeno (T-S) fuzzy model. The proposed PPDC control design can greatly reduce the number of adjustable parameters involved in the original PDC and separate them from the feedback gain. Furthermore, the process of finding the common quadratic Lyapunov matrix is simplified. Then, the global asymptotic stability with decay rate and disturbance attenuation of the closed-loop T-S model affected by uncertainties and external disturbances are discussed using the H∞ synthesis and linear matrix inequality (LMI) tools. Finally, to illustrate the merit of our purpose, numerical simulation studies of stabilizing and tracking an inverted pendulum system are presented.
url http://dx.doi.org/10.1155/2020/8910132
work_keys_str_mv AT chekibghorbel proportionalpdcdesignbasedrobuststabilizationandtrackingcontrolstrategiesforuncertainanddisturbedtsmodel
AT amiratiga proportionalpdcdesignbasedrobuststabilizationandtrackingcontrolstrategiesforuncertainanddisturbedtsmodel
AT naceurbenhadjbraiek proportionalpdcdesignbasedrobuststabilizationandtrackingcontrolstrategiesforuncertainanddisturbedtsmodel
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