A Generalized One-Bit Control System Using a <inline-formula> <tex-math notation="LaTeX">$\Delta\Sigma$ </tex-math></inline-formula>-Quantizer
This paper presents the use of a delta-sigma quantizer for generalized one-bit control processing. An equivalent control strategy based on sliding-mode control is employed to derive the necessary condition for the convergence of the proposed one-bit control system in both the continuous-time and dis...
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8807114/ |
| _version_ | 1828735723124031488 |
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| author | Dhafer J. Almakhles R. Sakthivel Akshya Swain Umashankar Subramaniam Khaled Almustafa |
| author_facet | Dhafer J. Almakhles R. Sakthivel Akshya Swain Umashankar Subramaniam Khaled Almustafa |
| author_sort | Dhafer J. Almakhles |
| collection | DOAJ |
| description | This paper presents the use of a delta-sigma quantizer for generalized one-bit control processing. An equivalent control strategy based on sliding-mode control is employed to derive the necessary condition for the convergence of the proposed one-bit control system in both the continuous-time and discrete-time domains. Under the convergence condition, the binary signals generated by delta-sigma quantizers in the one-bit control system effectively replace their counterpart signals in conventional control systems. This enables a significant reduction in the number of multipliers and overall hardware cost for computing the control laws in one-bit control systems. Our result is applied to design a multiplier-less one-bit generalized proportional and integral controller for the position control of an experimental prototype of a DC motor. An implementation of the one-bit control system is carried out using an FPGA platform to demonstrate the behavior of one-bit generalized proportional and integral controller and compare the results with the standard in terms of implementation efficiency. The results of the simulation and experiment show that the one-bit generalized proportional and integral controller effectively controls the system and achieves the desired specifications. At the same time, the proposed one-bit control system consumes significantly fewer hardware resources than the standard control syst. |
| first_indexed | 2024-04-12T23:13:38Z |
| format | Article |
| id | doaj.art-20e8377a7f3741ea8b7fbaab4d78ffd8 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T23:13:38Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-20e8377a7f3741ea8b7fbaab4d78ffd82022-12-22T03:12:45ZengIEEEIEEE Access2169-35362019-01-01711700911701810.1109/ACCESS.2019.29364388807114A Generalized One-Bit Control System Using a <inline-formula> <tex-math notation="LaTeX">$\Delta\Sigma$ </tex-math></inline-formula>-QuantizerDhafer J. Almakhles0https://orcid.org/0000-0002-5165-0754R. Sakthivel1https://orcid.org/0000-0002-5528-2709Akshya Swain2Umashankar Subramaniam3https://orcid.org/0000-0003-3541-9218Khaled Almustafa4Communications and Networks Department, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Applied Mathematics, Bharathiar University, Coimbatore, IndiaDepartment of Electrical and Computer Engineering, The University of Auckland, Auckland, New ZealandCommunications and Networks Department, Prince Sultan University, Riyadh, Saudi ArabiaInformation Systems Department, Prince Sultan University, Riyadh, Saudi ArabiaThis paper presents the use of a delta-sigma quantizer for generalized one-bit control processing. An equivalent control strategy based on sliding-mode control is employed to derive the necessary condition for the convergence of the proposed one-bit control system in both the continuous-time and discrete-time domains. Under the convergence condition, the binary signals generated by delta-sigma quantizers in the one-bit control system effectively replace their counterpart signals in conventional control systems. This enables a significant reduction in the number of multipliers and overall hardware cost for computing the control laws in one-bit control systems. Our result is applied to design a multiplier-less one-bit generalized proportional and integral controller for the position control of an experimental prototype of a DC motor. An implementation of the one-bit control system is carried out using an FPGA platform to demonstrate the behavior of one-bit generalized proportional and integral controller and compare the results with the standard in terms of implementation efficiency. The results of the simulation and experiment show that the one-bit generalized proportional and integral controller effectively controls the system and achieves the desired specifications. At the same time, the proposed one-bit control system consumes significantly fewer hardware resources than the standard control syst.https://ieeexplore.ieee.org/document/8807114/One-bit control processingdelta-sigma quantizerquantized control systemsequivalent controlsliding modegeneralized proportional and integral |
| spellingShingle | Dhafer J. Almakhles R. Sakthivel Akshya Swain Umashankar Subramaniam Khaled Almustafa A Generalized One-Bit Control System Using a <inline-formula> <tex-math notation="LaTeX">$\Delta\Sigma$ </tex-math></inline-formula>-Quantizer IEEE Access One-bit control processing delta-sigma quantizer quantized control systems equivalent control sliding mode generalized proportional and integral |
| title | A Generalized One-Bit Control System Using a <inline-formula> <tex-math notation="LaTeX">$\Delta\Sigma$ </tex-math></inline-formula>-Quantizer |
| title_full | A Generalized One-Bit Control System Using a <inline-formula> <tex-math notation="LaTeX">$\Delta\Sigma$ </tex-math></inline-formula>-Quantizer |
| title_fullStr | A Generalized One-Bit Control System Using a <inline-formula> <tex-math notation="LaTeX">$\Delta\Sigma$ </tex-math></inline-formula>-Quantizer |
| title_full_unstemmed | A Generalized One-Bit Control System Using a <inline-formula> <tex-math notation="LaTeX">$\Delta\Sigma$ </tex-math></inline-formula>-Quantizer |
| title_short | A Generalized One-Bit Control System Using a <inline-formula> <tex-math notation="LaTeX">$\Delta\Sigma$ </tex-math></inline-formula>-Quantizer |
| title_sort | generalized one bit control system using a inline formula tex math notation latex delta sigma tex math inline formula quantizer |
| topic | One-bit control processing delta-sigma quantizer quantized control systems equivalent control sliding mode generalized proportional and integral |
| url | https://ieeexplore.ieee.org/document/8807114/ |
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