Fuzzy-Based Tracking Control for a Class of Fractional-Order Systems with Time Delays
This paper focuses on the tracking control problem for a family of fractional-order systems with unknown drift functions and unknown time delays. By employing fuzzy logic systems (FLSs), the unknown functions are approximated and compensated. Meanwhile, with the help of a hyperbolic tangent function...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-05-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/11/1884 |
| _version_ | 1797492639827755008 |
|---|---|
| author | Jiae Yang Yujia Wang Tong Wang Xuebo Yang |
| author_facet | Jiae Yang Yujia Wang Tong Wang Xuebo Yang |
| author_sort | Jiae Yang |
| collection | DOAJ |
| description | This paper focuses on the tracking control problem for a family of fractional-order systems with unknown drift functions and unknown time delays. By employing fuzzy logic systems (FLSs), the unknown functions are approximated and compensated. Meanwhile, with the help of a hyperbolic tangent function and a sign function, the adverse effects of time-varying delays and FLSs approximation error are mitigated simultaneously. It should be stressed that the proposed method eliminates the assumption that the time delay is bounded by a known function. The stability analysis shows that the tracking error can converge to a small neighborhood of the origin. Finally, simulation is conducted to confirm the effectiveness of the presented control strategy. |
| first_indexed | 2024-03-10T01:06:37Z |
| format | Article |
| id | doaj.art-9565cca74a3749b5834c93dacfabb93a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:06:37Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9565cca74a3749b5834c93dacfabb93a2023-11-23T14:26:16ZengMDPI AGMathematics2227-73902022-05-011011188410.3390/math10111884Fuzzy-Based Tracking Control for a Class of Fractional-Order Systems with Time DelaysJiae Yang0Yujia Wang1Tong Wang2Xuebo Yang3Research Institute of Intelligent Control and Systems, School of Astronautics, Harbin Institute of Technology, Harbin 150080, ChinaResearch Institute of Intelligent Control and Systems, School of Astronautics, Harbin Institute of Technology, Harbin 150080, ChinaResearch Institute of Intelligent Control and Systems, School of Astronautics, Harbin Institute of Technology, Harbin 150080, ChinaResearch Institute of Intelligent Control and Systems, School of Astronautics, Harbin Institute of Technology, Harbin 150080, ChinaThis paper focuses on the tracking control problem for a family of fractional-order systems with unknown drift functions and unknown time delays. By employing fuzzy logic systems (FLSs), the unknown functions are approximated and compensated. Meanwhile, with the help of a hyperbolic tangent function and a sign function, the adverse effects of time-varying delays and FLSs approximation error are mitigated simultaneously. It should be stressed that the proposed method eliminates the assumption that the time delay is bounded by a known function. The stability analysis shows that the tracking error can converge to a small neighborhood of the origin. Finally, simulation is conducted to confirm the effectiveness of the presented control strategy.https://www.mdpi.com/2227-7390/10/11/1884fractional-order systemsfuzzy logic systemstime delaysunknown nonlinear functionshyperbolic tangent function |
| spellingShingle | Jiae Yang Yujia Wang Tong Wang Xuebo Yang Fuzzy-Based Tracking Control for a Class of Fractional-Order Systems with Time Delays Mathematics fractional-order systems fuzzy logic systems time delays unknown nonlinear functions hyperbolic tangent function |
| title | Fuzzy-Based Tracking Control for a Class of Fractional-Order Systems with Time Delays |
| title_full | Fuzzy-Based Tracking Control for a Class of Fractional-Order Systems with Time Delays |
| title_fullStr | Fuzzy-Based Tracking Control for a Class of Fractional-Order Systems with Time Delays |
| title_full_unstemmed | Fuzzy-Based Tracking Control for a Class of Fractional-Order Systems with Time Delays |
| title_short | Fuzzy-Based Tracking Control for a Class of Fractional-Order Systems with Time Delays |
| title_sort | fuzzy based tracking control for a class of fractional order systems with time delays |
| topic | fractional-order systems fuzzy logic systems time delays unknown nonlinear functions hyperbolic tangent function |
| url | https://www.mdpi.com/2227-7390/10/11/1884 |
| work_keys_str_mv | AT jiaeyang fuzzybasedtrackingcontrolforaclassoffractionalordersystemswithtimedelays AT yujiawang fuzzybasedtrackingcontrolforaclassoffractionalordersystemswithtimedelays AT tongwang fuzzybasedtrackingcontrolforaclassoffractionalordersystemswithtimedelays AT xueboyang fuzzybasedtrackingcontrolforaclassoffractionalordersystemswithtimedelays |