The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output
This paper investigates the stabilization and synchronization of a class of fractional-order chaotic systems which are affected by external disturbances. The chaotic systems are assumed that only a single output can be used to design the controller. In order to design the proper controller, some obs...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/1984348 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559329317748736 |
|---|---|
| author | Runzi Luo Haipeng Su |
| author_facet | Runzi Luo Haipeng Su |
| author_sort | Runzi Luo |
| collection | DOAJ |
| description | This paper investigates the stabilization and synchronization of a class of fractional-order chaotic systems which are affected by external disturbances. The chaotic systems are assumed that only a single output can be used to design the controller. In order to design the proper controller, some observer systems are proposed. By using the observer systems some sufficient conditions for achieving chaos control and synchronization of fractional-order chaotic systems are derived. Numerical examples are presented by taking the fractional-order generalized Lorenz chaotic system as an example to show the feasibility and validity of the proposed method. |
| format | Article |
| id | doaj-art-162e634e1c1545f2b3b63b68ab83cf66 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-162e634e1c1545f2b3b63b68ab83cf662025-02-03T01:30:14ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/19843481984348The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single OutputRunzi Luo0Haipeng Su1Department of Mathematics, Nanchang University, 330031, ChinaDepartment of Mathematics, Nanchang University, 330031, ChinaThis paper investigates the stabilization and synchronization of a class of fractional-order chaotic systems which are affected by external disturbances. The chaotic systems are assumed that only a single output can be used to design the controller. In order to design the proper controller, some observer systems are proposed. By using the observer systems some sufficient conditions for achieving chaos control and synchronization of fractional-order chaotic systems are derived. Numerical examples are presented by taking the fractional-order generalized Lorenz chaotic system as an example to show the feasibility and validity of the proposed method.http://dx.doi.org/10.1155/2018/1984348 |
| spellingShingle | Runzi Luo Haipeng Su The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output Complexity |
| title | The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output |
| title_full | The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output |
| title_fullStr | The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output |
| title_full_unstemmed | The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output |
| title_short | The Robust Control and Synchronization of a Class of Fractional-Order Chaotic Systems with External Disturbances via a Single Output |
| title_sort | robust control and synchronization of a class of fractional order chaotic systems with external disturbances via a single output |
| url | http://dx.doi.org/10.1155/2018/1984348 |
| work_keys_str_mv | AT runziluo therobustcontrolandsynchronizationofaclassoffractionalorderchaoticsystemswithexternaldisturbancesviaasingleoutput AT haipengsu therobustcontrolandsynchronizationofaclassoffractionalorderchaoticsystemswithexternaldisturbancesviaasingleoutput AT runziluo robustcontrolandsynchronizationofaclassoffractionalorderchaoticsystemswithexternaldisturbancesviaasingleoutput AT haipengsu robustcontrolandsynchronizationofaclassoffractionalorderchaoticsystemswithexternaldisturbancesviaasingleoutput |