Modeling and Lyapunov-Based Nonlinear Control Strategies of Novel 2-D Inverted Magnetic Needle System: A Comparative Study
This research investigates control theory using an advanced two-dimensional inverted magnetic needle system. The complex dynamics of the system are caused by a non-uniform external magnetic field. The system dynamics are established using Euler’s equations, and an energy-based controller...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2023-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10347216/ |
| _version_ | 1797376263815430144 |
|---|---|
| author | P. Suresh Kumar B. Ashok Hossam Kotb Kareem M. AboRas Seada Hussen |
| author_facet | P. Suresh Kumar B. Ashok Hossam Kotb Kareem M. AboRas Seada Hussen |
| author_sort | P. Suresh Kumar |
| collection | DOAJ |
| description | This research investigates control theory using an advanced two-dimensional inverted magnetic needle system. The complex dynamics of the system are caused by a non-uniform external magnetic field. The system dynamics are established using Euler’s equations, and an energy-based controller is proposed to stabilize the needle near an unstable equilibrium point. We propose energy-based control techniques and compare their performance to the Model Predictive Controller (MPC) performance. An important contribution of this research is the rigorous investigation of closed-loop system stability using Lyapunov function analysis and tracking the performance of energy-based control techniques and MPC controller. The dynamic behavior of the magnetic needle is further enriched by two rotational degrees of freedom, influenced by attractive and repulsive forces from external magnets. Moreover, we assess the effectiveness of energy-based control strategies in both uniform and non-uniform magnetic fields, thereby expanding the applications of control theory. |
| first_indexed | 2024-03-08T19:36:01Z |
| format | Article |
| id | doaj.art-0e158623a3c348d2aa875c780a3193d5 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-08T19:36:01Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-0e158623a3c348d2aa875c780a3193d52023-12-26T00:11:52ZengIEEEIEEE Access2169-35362023-01-011114040614041710.1109/ACCESS.2023.334041410347216Modeling and Lyapunov-Based Nonlinear Control Strategies of Novel 2-D Inverted Magnetic Needle System: A Comparative StudyP. Suresh Kumar0https://orcid.org/0000-0002-6220-1372B. Ashok1https://orcid.org/0000-0003-4488-1391Hossam Kotb2https://orcid.org/0000-0002-4052-6731Kareem M. AboRas3https://orcid.org/0000-0003-0485-468XSeada Hussen4https://orcid.org/0000-0003-4251-2971Automotive Research Centre, Vellore Institute of Technology, Vellore, Tamil Nadu, IndiaSchool of Mechanical Engineering, Vellore Institute of Technology, Vellore, Tamil Nadu, IndiaDepartment of Electrical Power and Machines, Faculty of Engineering, Alexandria University, Alexandria, EgyptDepartment of Electrical Power and Machines, Faculty of Engineering, Alexandria University, Alexandria, EgyptDepartment of Electrical Power, Adama Science and Technology University, Adama, EthiopiaThis research investigates control theory using an advanced two-dimensional inverted magnetic needle system. The complex dynamics of the system are caused by a non-uniform external magnetic field. The system dynamics are established using Euler’s equations, and an energy-based controller is proposed to stabilize the needle near an unstable equilibrium point. We propose energy-based control techniques and compare their performance to the Model Predictive Controller (MPC) performance. An important contribution of this research is the rigorous investigation of closed-loop system stability using Lyapunov function analysis and tracking the performance of energy-based control techniques and MPC controller. The dynamic behavior of the magnetic needle is further enriched by two rotational degrees of freedom, influenced by attractive and repulsive forces from external magnets. Moreover, we assess the effectiveness of energy-based control strategies in both uniform and non-uniform magnetic fields, thereby expanding the applications of control theory.https://ieeexplore.ieee.org/document/10347216/Control theoryindustrial applicationsenergy-based controller2-D inverted magnetic needle systemnon-uniform magnetic fieldsystem stability |
| spellingShingle | P. Suresh Kumar B. Ashok Hossam Kotb Kareem M. AboRas Seada Hussen Modeling and Lyapunov-Based Nonlinear Control Strategies of Novel 2-D Inverted Magnetic Needle System: A Comparative Study IEEE Access Control theory industrial applications energy-based controller 2-D inverted magnetic needle system non-uniform magnetic field system stability |
| title | Modeling and Lyapunov-Based Nonlinear Control Strategies of Novel 2-D Inverted Magnetic Needle System: A Comparative Study |
| title_full | Modeling and Lyapunov-Based Nonlinear Control Strategies of Novel 2-D Inverted Magnetic Needle System: A Comparative Study |
| title_fullStr | Modeling and Lyapunov-Based Nonlinear Control Strategies of Novel 2-D Inverted Magnetic Needle System: A Comparative Study |
| title_full_unstemmed | Modeling and Lyapunov-Based Nonlinear Control Strategies of Novel 2-D Inverted Magnetic Needle System: A Comparative Study |
| title_short | Modeling and Lyapunov-Based Nonlinear Control Strategies of Novel 2-D Inverted Magnetic Needle System: A Comparative Study |
| title_sort | modeling and lyapunov based nonlinear control strategies of novel 2 d inverted magnetic needle system a comparative study |
| topic | Control theory industrial applications energy-based controller 2-D inverted magnetic needle system non-uniform magnetic field system stability |
| url | https://ieeexplore.ieee.org/document/10347216/ |
| work_keys_str_mv | AT psureshkumar modelingandlyapunovbasednonlinearcontrolstrategiesofnovel2dinvertedmagneticneedlesystemacomparativestudy AT bashok modelingandlyapunovbasednonlinearcontrolstrategiesofnovel2dinvertedmagneticneedlesystemacomparativestudy AT hossamkotb modelingandlyapunovbasednonlinearcontrolstrategiesofnovel2dinvertedmagneticneedlesystemacomparativestudy AT kareemmaboras modelingandlyapunovbasednonlinearcontrolstrategiesofnovel2dinvertedmagneticneedlesystemacomparativestudy AT seadahussen modelingandlyapunovbasednonlinearcontrolstrategiesofnovel2dinvertedmagneticneedlesystemacomparativestudy |