Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs
This paper proposes a composite nonlinear controller combining backstepping and double-integral sliding mode controllers for DC–DC boost converter (DDBC) feeding by constant power loads (CPLs) to improve the DC-bus voltage stability under large disturbances in DC distribution systems. In this regard...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/20/6753 |
| _version_ | 1797514704659152896 |
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| author | Subarto Kumar Ghosh Tushar Kanti Roy Md. Abu Hanif Pramanik Md. Apel Mahmud |
| author_facet | Subarto Kumar Ghosh Tushar Kanti Roy Md. Abu Hanif Pramanik Md. Apel Mahmud |
| author_sort | Subarto Kumar Ghosh |
| collection | DOAJ |
| description | This paper proposes a composite nonlinear controller combining backstepping and double-integral sliding mode controllers for DC–DC boost converter (DDBC) feeding by constant power loads (CPLs) to improve the DC-bus voltage stability under large disturbances in DC distribution systems. In this regard, an exact feedback linearization approach is first used to transform the nonlinear dynamical model into a simplified linear system with canonical form so that it becomes suitable for designing the proposed controller. Another important feature of applying the exact feedback linearization approach in this work is to utilize its capability to cancel nonlinearities appearing due to the incremental negative-impedance of CPLs and the non-minimum phase problem related to the DDBC. Second, the proposed backstepping double integral-sliding mode controller (BDI-SMC) is employed on the feedback linearized system to determine the control law. Afterwards, the Lyapunov stability theory is used to analyze the closed-loop stability of the overall system. Finally, a simulation study is conducted under various operating conditions of the system to validate the theoretical analysis of the proposed controller. The simulation results are also compared with existing sliding mode controller (ESMC) and proportional-integral (PI) control schemes to demonstrate the superiority of the proposed BDI-SMC. |
| first_indexed | 2024-03-10T06:35:24Z |
| format | Article |
| id | doaj.art-2650b92fbb86477babf6906c5eefac14 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T06:35:24Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-2650b92fbb86477babf6906c5eefac142023-11-22T18:08:14ZengMDPI AGEnergies1996-10732021-10-011420675310.3390/en14206753Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLsSubarto Kumar Ghosh0Tushar Kanti Roy1Md. Abu Hanif Pramanik2Md. Apel Mahmud3Department of Electrical & Electronic Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, BangladeshDepartment of Electronics & Telecommunication Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, BangladeshDepartment of Electrical & Computer Engineering, Rajshahi University of Engineering & Technology, Rajshahi 6204, BangladeshSchool of Engineering, Deakin University, Geelong, VIC 3216, AustraliaThis paper proposes a composite nonlinear controller combining backstepping and double-integral sliding mode controllers for DC–DC boost converter (DDBC) feeding by constant power loads (CPLs) to improve the DC-bus voltage stability under large disturbances in DC distribution systems. In this regard, an exact feedback linearization approach is first used to transform the nonlinear dynamical model into a simplified linear system with canonical form so that it becomes suitable for designing the proposed controller. Another important feature of applying the exact feedback linearization approach in this work is to utilize its capability to cancel nonlinearities appearing due to the incremental negative-impedance of CPLs and the non-minimum phase problem related to the DDBC. Second, the proposed backstepping double integral-sliding mode controller (BDI-SMC) is employed on the feedback linearized system to determine the control law. Afterwards, the Lyapunov stability theory is used to analyze the closed-loop stability of the overall system. Finally, a simulation study is conducted under various operating conditions of the system to validate the theoretical analysis of the proposed controller. The simulation results are also compared with existing sliding mode controller (ESMC) and proportional-integral (PI) control schemes to demonstrate the superiority of the proposed BDI-SMC.https://www.mdpi.com/1996-1073/14/20/6753backstepping double-integral sliding mode control schemeconstant power loadexact feedback linearization approachLyapunov stability theorynegative-resistance characteristicsnon-minimum phase |
| spellingShingle | Subarto Kumar Ghosh Tushar Kanti Roy Md. Abu Hanif Pramanik Md. Apel Mahmud Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs Energies backstepping double-integral sliding mode control scheme constant power load exact feedback linearization approach Lyapunov stability theory negative-resistance characteristics non-minimum phase |
| title | Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs |
| title_full | Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs |
| title_fullStr | Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs |
| title_full_unstemmed | Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs |
| title_short | Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs |
| title_sort | design of nonlinear backstepping double integral sliding mode controllers to stabilize the dc bus voltage for dc dc converters feeding cpls |
| topic | backstepping double-integral sliding mode control scheme constant power load exact feedback linearization approach Lyapunov stability theory negative-resistance characteristics non-minimum phase |
| url | https://www.mdpi.com/1996-1073/14/20/6753 |
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