Hysteresis-Based Current Control Approach by Means of the Theory of Switched Systems
In this paper, a novel hysteresis-based current control approach is presented. The basis of the developed control approach is the theory of switched systems, in particular, the system class of switched systems with multiple equilibria. The proposed approach guarantees the convergence of the state tr...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/19/9175 |
| _version_ | 1797516809300082688 |
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| author | Malte Thielmann Florian Hans |
| author_facet | Malte Thielmann Florian Hans |
| author_sort | Malte Thielmann |
| collection | DOAJ |
| description | In this paper, a novel hysteresis-based current control approach is presented. The basis of the developed control approach is the theory of switched systems, in particular, the system class of switched systems with multiple equilibria. The proposed approach guarantees the convergence of the state trajectory into a region around a reference trajectory by selective switching between the individual subsystems. Here, the reference trajectory is allowed to be time varying, but lies within the state space spanned by the subsystem equilibria. Since already published approaches only show convergence to a common equilibrium of all subsystems, the extension to the mentioned state space is a significant novelty. Moreover, the approach is not limited to the number of state variables, nor to the number of subsystems. Thus, the applicability to a large number of systems is given. In the course of the paper, the theoretical basics of the approach are first explained by referring to a trivial example system. Then, it is shown how the theory can be applied to a practical application of a voltage source converter that is connected to a permanent-magnet synchronous motor. After deriving the limits of the presented control strategy, a simulation study confirms the applicability on the converter system. The paper closes with a detailed discussion about the given results. |
| first_indexed | 2024-03-10T07:06:03Z |
| format | Article |
| id | doaj.art-c0ed81443ec24859bef344d7cfe871ba |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T07:06:03Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-c0ed81443ec24859bef344d7cfe871ba2023-11-22T15:48:48ZengMDPI AGApplied Sciences2076-34172021-10-011119917510.3390/app11199175Hysteresis-Based Current Control Approach by Means of the Theory of Switched SystemsMalte Thielmann0Florian Hans1Institute of Control Engineering, Technische Universität Braunschweig, Hans-Sommer-Str. 66, 38106 Braunschweig, GermanyInstitute of Control Engineering, Technische Universität Braunschweig, Hans-Sommer-Str. 66, 38106 Braunschweig, GermanyIn this paper, a novel hysteresis-based current control approach is presented. The basis of the developed control approach is the theory of switched systems, in particular, the system class of switched systems with multiple equilibria. The proposed approach guarantees the convergence of the state trajectory into a region around a reference trajectory by selective switching between the individual subsystems. Here, the reference trajectory is allowed to be time varying, but lies within the state space spanned by the subsystem equilibria. Since already published approaches only show convergence to a common equilibrium of all subsystems, the extension to the mentioned state space is a significant novelty. Moreover, the approach is not limited to the number of state variables, nor to the number of subsystems. Thus, the applicability to a large number of systems is given. In the course of the paper, the theoretical basics of the approach are first explained by referring to a trivial example system. Then, it is shown how the theory can be applied to a practical application of a voltage source converter that is connected to a permanent-magnet synchronous motor. After deriving the limits of the presented control strategy, a simulation study confirms the applicability on the converter system. The paper closes with a detailed discussion about the given results.https://www.mdpi.com/2076-3417/11/19/9175pulse width modulationvoltage-source convertercurrent controlswitched systemshysteresis comparator |
| spellingShingle | Malte Thielmann Florian Hans Hysteresis-Based Current Control Approach by Means of the Theory of Switched Systems Applied Sciences pulse width modulation voltage-source converter current control switched systems hysteresis comparator |
| title | Hysteresis-Based Current Control Approach by Means of the Theory of Switched Systems |
| title_full | Hysteresis-Based Current Control Approach by Means of the Theory of Switched Systems |
| title_fullStr | Hysteresis-Based Current Control Approach by Means of the Theory of Switched Systems |
| title_full_unstemmed | Hysteresis-Based Current Control Approach by Means of the Theory of Switched Systems |
| title_short | Hysteresis-Based Current Control Approach by Means of the Theory of Switched Systems |
| title_sort | hysteresis based current control approach by means of the theory of switched systems |
| topic | pulse width modulation voltage-source converter current control switched systems hysteresis comparator |
| url | https://www.mdpi.com/2076-3417/11/19/9175 |
| work_keys_str_mv | AT maltethielmann hysteresisbasedcurrentcontrolapproachbymeansofthetheoryofswitchedsystems AT florianhans hysteresisbasedcurrentcontrolapproachbymeansofthetheoryofswitchedsystems |