Adaptive quantised observer‐based output feedback control for non‐linear systems with input and output quantisation
This study investigates the case of simultaneous input and output quantisation for a class of non‐linear output feedback systems subject to uncertain non‐linear dynamics and non‐zero initial states. An adaptive quantised observer‐based output feedback controller is designed to guarantee bounded stab...
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| Published in | IET control theory & applications Vol. 11; no. 2; pp. 263 - 272 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
20.01.2017
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1751-8644 1751-8652 |
| DOI | 10.1049/iet-cta.2016.0988 |
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| Abstract | This study investigates the case of simultaneous input and output quantisation for a class of non‐linear output feedback systems subject to uncertain non‐linear dynamics and non‐zero initial states. An adaptive quantised observer‐based output feedback controller is designed to guarantee bounded stability and H ∞ performance despite input and output quantisation. In comparison with the existing work, the main contributions of this study are that: (i) an important lemma is proposed to remove the matrix equality constraint used in many existing results, and three new design methods in strict terms of linear matrix inequality techniques are proposed; (ii) this study focuses on eliminating the impact of both input and output quantisation errors. Since the impact of input and output quantisation errors cannot be fully eliminated, the estimation error is proved to be ultimately bounded and to converge to a residual set; and (iii) an adaptive compensation term is constructed to compensate for the time‐variant effects caused by non‐linear dynamics and uncertain parameter vectors. Finally, two numerical examples are given to show the efficacy and advantages of the proposed methods. |
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| AbstractList | This study investigates the case of simultaneous input and output quantisation for a class of non-linear output feedback systems subject to uncertain non-linear dynamics and non-zero initial states. An adaptive quantised observer-based output feedback controller is designed to guarantee bounded stability and H sub([infinity]) performance despite input and output quantisation. In comparison with the existing work, the main contributions of this study are that: (i) an important lemma is proposed to remove the matrix equality constraint used in many existing results, and three new design methods in strict terms of linear matrix inequality techniques are proposed; (ii) this study focuses on eliminating the impact of both input and output quantisation errors. Since the impact of input and output quantisation errors cannot be fully eliminated, the estimation error is proved to be ultimately bounded and to converge to a residual set; and (iii) an adaptive compensation term is constructed to compensate for the time-variant effects caused by non-linear dynamics and uncertain parameter vectors. Finally, two numerical examples are given to show the efficacy and advantages of the proposed methods. This study investigates the case of simultaneous input and output quantisation for a class of non‐linear output feedback systems subject to uncertain non‐linear dynamics and non‐zero initial states. An adaptive quantised observer‐based output feedback controller is designed to guarantee bounded stability and H ∞ performance despite input and output quantisation. In comparison with the existing work, the main contributions of this study are that: (i) an important lemma is proposed to remove the matrix equality constraint used in many existing results, and three new design methods in strict terms of linear matrix inequality techniques are proposed; (ii) this study focuses on eliminating the impact of both input and output quantisation errors. Since the impact of input and output quantisation errors cannot be fully eliminated, the estimation error is proved to be ultimately bounded and to converge to a residual set; and (iii) an adaptive compensation term is constructed to compensate for the time‐variant effects caused by non‐linear dynamics and uncertain parameter vectors. Finally, two numerical examples are given to show the efficacy and advantages of the proposed methods. |
| Author | Guo, Xiang‐Gui Wang, Jian‐Liang Liao, Fang |
| Author_xml | – sequence: 1 givenname: Xiang‐Gui surname: Guo fullname: Guo, Xiang‐Gui organization: School of Automation and Electrical Engineering, University of Science and Technology Beijing Beijing 100083 People's Republic of China, School of Electrical and Electronic Engineering, Nanyang Technological University Singapore 639798 Singapore, Beijing Engineering Research Center of Industrial Spectrum Imaging (No. BG0150) Beijing 100083 People's Republic of China – sequence: 2 givenname: Jian‐Liang surname: Wang fullname: Wang, Jian‐Liang organization: School of Electrical and Electronic Engineering, Nanyang Technological University Singapore 639798 Singapore – sequence: 3 givenname: Fang surname: Liao fullname: Liao, Fang organization: Temasek Laboratories, National University of Singapore 5 Sports Drive 2 Singapore 117508 Singapore |
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| CitedBy_id | crossref_primary_10_1049_iet_cta_2018_6045 crossref_primary_10_1109_TSMC_2019_2912812 crossref_primary_10_1016_j_engstruct_2017_11_021 crossref_primary_10_1016_j_neucom_2017_10_054 crossref_primary_10_4236_ojapps_2023_1311153 crossref_primary_10_1002_rnc_4425 crossref_primary_10_1109_JAS_2021_1004132 crossref_primary_10_3390_jmse11020309 crossref_primary_10_1016_j_amc_2019_03_010 crossref_primary_10_1007_s12555_019_0969_5 crossref_primary_10_1109_TSMC_2019_2917497 crossref_primary_10_1109_ACCESS_2022_3148125 crossref_primary_10_1016_j_ins_2024_121257 crossref_primary_10_1016_j_ins_2024_120399 crossref_primary_10_1016_j_isatra_2024_07_002 crossref_primary_10_1109_TFUZZ_2020_2974175 crossref_primary_10_1016_j_jfranklin_2022_03_012 |
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| SubjectTerms | Compensation Dynamical systems Errors Feedback control Mathematical models Matrices (mathematics) Nonlinear dynamics Output feedback |
| Title | Adaptive quantised observer‐based output feedback control for non‐linear systems with input and output quantisation |
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