Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems
This communique presents the Q-S synchronization of two nonidentical complex nonlinear hyperchaotic systems with unknown parameters. An adaptive controller based on adaptive integral sliding mode control and parameter update laws are designed to realize the synchronization and parameter identificati...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6678978 |
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| _version_ | 1832547708552871936 |
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| author | Sami Ud Din Muhammad Rafiq Mufti Humaira Afzal Majid Ali Muhammad Abdul Moiz Zia |
| author_facet | Sami Ud Din Muhammad Rafiq Mufti Humaira Afzal Majid Ali Muhammad Abdul Moiz Zia |
| author_sort | Sami Ud Din |
| collection | DOAJ |
| description | This communique presents the Q-S synchronization of two nonidentical complex nonlinear hyperchaotic systems with unknown parameters. An adaptive controller based on adaptive integral sliding mode control and parameter update laws are designed to realize the synchronization and parameter identification to a given map vector. The aforementioned strategy’s employment demands the transformation of a system into a specific structure containing a nominal part and some unknown terms (later on, these unknown terms will be computed adaptively). An integral sliding mode controller is used to stabilize the error system by designing nominal control accompanied by compensator control. For chattering suppression, a continuous compensator of smooth nature is used instead of conventional control. The stability of the proposed algorithm is established in an impressive way, using Lyapunov criteria. A numerical simulation is performed to illustrate the validity of the proposed synchronization scheme. |
| format | Article |
| id | doaj-art-6ba5f1bc6be54e2d8cf57e77b703a279 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6ba5f1bc6be54e2d8cf57e77b703a2792025-02-03T06:43:46ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66789786678978Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex SystemsSami Ud Din0Muhammad Rafiq Mufti1Humaira Afzal2Majid Ali3Muhammad Abdul Moiz Zia4Department of Electrical Engineering, NAMAL Institute Mianwali, Mianwali 42250, PakistanDepartment of Computer Science, COMSATS University Islamabad, Vehari Campus, Vehari 61100, PakistanDepartment of Computer Science, Bahauddin Zakariya University, Multan 60800, PakistanDepartment of Electrical Engineering, NAMAL Institute Mianwali, Mianwali 42250, PakistanDepartment of Computer Science, University of Central Punjab, Lahore 54000, PakistanThis communique presents the Q-S synchronization of two nonidentical complex nonlinear hyperchaotic systems with unknown parameters. An adaptive controller based on adaptive integral sliding mode control and parameter update laws are designed to realize the synchronization and parameter identification to a given map vector. The aforementioned strategy’s employment demands the transformation of a system into a specific structure containing a nominal part and some unknown terms (later on, these unknown terms will be computed adaptively). An integral sliding mode controller is used to stabilize the error system by designing nominal control accompanied by compensator control. For chattering suppression, a continuous compensator of smooth nature is used instead of conventional control. The stability of the proposed algorithm is established in an impressive way, using Lyapunov criteria. A numerical simulation is performed to illustrate the validity of the proposed synchronization scheme.http://dx.doi.org/10.1155/2021/6678978 |
| spellingShingle | Sami Ud Din Muhammad Rafiq Mufti Humaira Afzal Majid Ali Muhammad Abdul Moiz Zia Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems Complexity |
| title | Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems |
| title_full | Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems |
| title_fullStr | Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems |
| title_full_unstemmed | Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems |
| title_short | Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems |
| title_sort | adaptive integral based robust q s synchronization and parameter identification of nonlinear hyperchaotic complex systems |
| url | http://dx.doi.org/10.1155/2021/6678978 |
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