Quantized output-feedback control of piecewise-affine systems with reachable regions of quantized measurements
This article explores the asymptotic stability and output-feedback control issues of discrete-time piecewise-affine (PWA) systems under multi-input–multi-output (MIMO) quantization. Our work features more general and practical than those previous works focusing on single-input–single-output quantiza...
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| Vydáno v: | Information sciences Ročník 677; s. 120828 |
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01.08.2024
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| ISSN: | 0020-0255 |
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| Abstract | This article explores the asymptotic stability and output-feedback control issues of discrete-time piecewise-affine (PWA) systems under multi-input–multi-output (MIMO) quantization. Our work features more general and practical than those previous works focusing on single-input–single-output quantization for output-feedback control of PWA systems. We choose a PWA output-feedback controller adapting to the located region of the quantized measurement. Since the measurement outputs generally contain partial state information, the determination of the located region of the quantized measurement depends on the region where the system state dwells. Thus, the controller can operate within a reduced number of regions compared to the PWA system. The leveraged Lyapunov function incorporates the region information for both the state and the quantized measurement, as well as the MIMO quantization uncertainties. We propose a method for determining the reachable regions of the quantized measurement, based on which we conduct the stability analysis and output-feedback controller implementation subsequently. In consequence, both the conservativeness and the computational burden can be alleviated compared with the previous results that incorporated all the operating regions for output-feedback controller design. Finally, our proposed control methodology is tested via a water-tank control problem to validate its competence and strengths. |
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| AbstractList | This article explores the asymptotic stability and output-feedback control issues of discrete-time piecewise-affine (PWA) systems under multi-input–multi-output (MIMO) quantization. Our work features more general and practical than those previous works focusing on single-input–single-output quantization for output-feedback control of PWA systems. We choose a PWA output-feedback controller adapting to the located region of the quantized measurement. Since the measurement outputs generally contain partial state information, the determination of the located region of the quantized measurement depends on the region where the system state dwells. Thus, the controller can operate within a reduced number of regions compared to the PWA system. The leveraged Lyapunov function incorporates the region information for both the state and the quantized measurement, as well as the MIMO quantization uncertainties. We propose a method for determining the reachable regions of the quantized measurement, based on which we conduct the stability analysis and output-feedback controller implementation subsequently. In consequence, both the conservativeness and the computational burden can be alleviated compared with the previous results that incorporated all the operating regions for output-feedback controller design. Finally, our proposed control methodology is tested via a water-tank control problem to validate its competence and strengths. |
| ArticleNumber | 120828 |
| Author | Han, Minghao Ji, Wenqiang Zhu, Yanzheng Ning, Zepeng Cai, Bo |
| Author_xml | – sequence: 1 givenname: Bo surname: Cai fullname: Cai, Bo organization: Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, 150080, China – sequence: 2 givenname: Zepeng orcidid: 0000-0002-2277-5144 surname: Ning fullname: Ning, Zepeng email: zepeng.ning@ntu.edu.sg organization: School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore – sequence: 3 givenname: Wenqiang orcidid: 0000-0002-0618-765X surname: Ji fullname: Ji, Wenqiang organization: School of Artificial Intelligence, Hebei University of Technology, Tianjin, 300401, China – sequence: 4 givenname: Yanzheng surname: Zhu fullname: Zhu, Yanzheng organization: College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China – sequence: 5 givenname: Minghao surname: Han fullname: Han, Minghao organization: Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, 150080, China |
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| Cites_doi | 10.1007/s11424-013-1082-0 10.1109/TAC.2023.3317505 10.1109/TCNS.2015.2428452 10.1002/oca.2545 10.1007/s11432-021-3486-9 10.3182/20140824-6-ZA-1003.02186 10.1109/TCSI.2023.3259966 10.1109/TCSI.2018.2813086 10.1109/TAC.2018.2873355 10.1109/TIE.2015.2475515 10.1109/87.845876 10.1109/9.618250 10.1109/LCSYS.2019.2937921 10.1016/j.ins.2019.01.069 10.1109/TAC.2010.2040497 10.1137/S0895479896303430 10.1016/j.automatica.2017.02.002 10.1109/TAC.2003.815044 10.1109/9.867021 10.1016/j.nahs.2022.101167 10.1109/TSMCB.2012.2229389 10.1109/91.811241 10.1109/TAC.2011.2176362 10.1016/j.ins.2020.12.059 10.1016/j.nahs.2019.100826 10.1016/j.arcontrol.2010.08.003 10.1016/j.automatica.2019.06.033 10.1109/TII.2012.2219540 10.1016/j.ins.2018.01.021 10.1002/rnc.5388 10.1016/j.automatica.2014.10.067 10.1109/TII.2012.2218113 10.1109/TAC.2005.858689 10.1016/S0005-1098(03)00151-1 10.1016/j.automatica.2007.06.015 |
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| Keywords | Piecewise-affine systems Multi-input–multi-output quantization Signal quantization Quantized feedback control Reachable regions |
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| SubjectTerms | Multi-input–multi-output quantization Piecewise-affine systems Quantized feedback control Reachable regions Signal quantization |
| Title | Quantized output-feedback control of piecewise-affine systems with reachable regions of quantized measurements |
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