Adaptive Control of a Vibratory Angle Measuring Gyroscope
This paper presents an adaptive control algorithm for realizing a vibratory angle measuring gyroscope so that rotation angle can be directly measured without integration of angular rate, thus eliminating the accumulation of numerical integration errors. The proposed control algorithm uses a trajecto...
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| Veröffentlicht in: | Sensors (Basel, Switzerland) Jg. 10; H. 9; S. 8478 - 8490 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Switzerland
MDPI AG
01.09.2010
Molecular Diversity Preservation International (MDPI) |
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| ISSN: | 1424-8220, 1424-8220 |
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| Abstract | This paper presents an adaptive control algorithm for realizing a vibratory angle measuring gyroscope so that rotation angle can be directly measured without integration of angular rate, thus eliminating the accumulation of numerical integration errors. The proposed control algorithm uses a trajectory following approach and the reference trajectory is generated by an ideal angle measuring gyroscope driven by the estimate of angular rate and the auxiliary sinusoidal input so that the persistent excitation condition is satisfied. The developed control algorithm can compensate for all types of fabrication imperfections such as coupled damping and stiffness, and mismatched stiffness and un-equal damping term in an on-line fashion. The simulation results show the feasibility and effectiveness of the developed control algorithm that is capable of directly measuring rotation angle without the integration of angular rate. |
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| AbstractList | This paper presents an adaptive control algorithm for realizing a vibratory angle measuring gyroscope so that rotation angle can be directly measured without integration of angular rate, thus eliminating the accumulation of numerical integration errors. The proposed control algorithm uses a trajectory following approach and the reference trajectory is generated by an ideal angle measuring gyroscope driven by the estimate of angular rate and the auxiliary sinusoidal input so that the persistent excitation condition is satisfied. The developed control algorithm can compensate for all types of fabrication imperfections such as coupled damping and stiffness, and mismatched stiffness and un-equal damping term in an on-line fashion. The simulation results show the feasibility and effectiveness of the developed control algorithm that is capable of directly measuring rotation angle without the integration of angular rate. This paper presents an adaptive control algorithm for realizing a vibratory angle measuring gyroscope so that rotation angle can be directly measured without integration of angular rate, thus eliminating the accumulation of numerical integration errors. The proposed control algorithm uses a trajectory following approach and the reference trajectory is generated by an ideal angle measuring gyroscope driven by the estimate of angular rate and the auxiliary sinusoidal input so that the persistent excitation condition is satisfied. The developed control algorithm can compensate for all types of fabrication imperfections such as coupled damping and stiffness, and mismatched stiffness and un-equal damping term in an on-line fashion. The simulation results show the feasibility and effectiveness of the developed control algorithm that is capable of directly measuring rotation angle without the integration of angular rate.This paper presents an adaptive control algorithm for realizing a vibratory angle measuring gyroscope so that rotation angle can be directly measured without integration of angular rate, thus eliminating the accumulation of numerical integration errors. The proposed control algorithm uses a trajectory following approach and the reference trajectory is generated by an ideal angle measuring gyroscope driven by the estimate of angular rate and the auxiliary sinusoidal input so that the persistent excitation condition is satisfied. The developed control algorithm can compensate for all types of fabrication imperfections such as coupled damping and stiffness, and mismatched stiffness and un-equal damping term in an on-line fashion. The simulation results show the feasibility and effectiveness of the developed control algorithm that is capable of directly measuring rotation angle without the integration of angular rate. |
| Author | Park, Sungsu |
| Author_xml | – sequence: 1 givenname: Sungsu surname: Park fullname: Park, Sungsu |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/22163667$$D View this record in MEDLINE/PubMed |
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| CitedBy_id | crossref_primary_10_1016_j_sna_2016_09_019 crossref_primary_10_1017_S026357471400160X crossref_primary_10_1016_j_gaitpost_2018_06_007 crossref_primary_10_1109_ACCESS_2016_2618910 crossref_primary_10_3390_s140101394 crossref_primary_10_3390_s111211761 crossref_primary_10_1088_1361_665X_aa9450 crossref_primary_10_3390_mi9070338 crossref_primary_10_3390_s120607326 crossref_primary_10_3390_s17030494 crossref_primary_10_3390_s130811051 |
| Cites_doi | 10.1109/TAC.1978.1101785 10.1109/TCST.2004.839568 10.1115/1.1849252 10.1109/ACC.2002.1024513 10.1109/5.704269 10.3390/s90805952 10.1016/j.sna.2007.12.033 |
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| DOI | 10.3390/s100908478 |
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| Keywords | trajectory following adaptive control angle measurement vibratory gyroscope |
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| References | ref_14 ref_13 ref_10 ref_2 Piyabongkam (ref_8) 2005; 13 ref_9 Park (ref_11) 2004; 126 Park (ref_12) 2009; 9 Yazdi (ref_1) 1998; 86 Friedland (ref_5) 1978; 23 ref_4 Park (ref_3) 2008; 144 ref_6 Painter (ref_7) 2005; 15 22454566 - Sensors (Basel). 2009;9(8):5952-67 |
| References_xml | – ident: ref_6 – ident: ref_9 – volume: 15 start-page: 1084 year: 2005 ident: ref_7 article-title: Experimental Evaluation of a Control system for an absolute angle measuring micromachined gyroscope publication-title: IEEE Sensor. J. – ident: ref_4 – volume: 23 start-page: 545 year: 1978 ident: ref_5 article-title: Theory and error analysis of vibrating-member gyroscopes publication-title: IEEE Trans. Autom. Control. doi: 10.1109/TAC.1978.1101785 – ident: ref_2 – volume: 13 start-page: 185 year: 2005 ident: ref_8 article-title: Development of a MEMS gyroscope for absolute angle measurement publication-title: IEEE Trans. Control Syst. Technol. doi: 10.1109/TCST.2004.839568 – volume: 126 start-page: 800 year: 2004 ident: ref_11 article-title: New adaptive mode of operation for MEMS gyroscopes publication-title: ASME J. Dyn. Syst. Meas. Contr. doi: 10.1115/1.1849252 – ident: ref_10 doi: 10.1109/ACC.2002.1024513 – volume: 86 start-page: 1640 year: 1998 ident: ref_1 article-title: Micromachined Inertial Sensors publication-title: Proc. IEEE doi: 10.1109/5.704269 – volume: 9 start-page: 5952 year: 2009 ident: ref_12 article-title: Oscillation control algorithms for resonant sensors with applications to vibratory gyroscopes publication-title: Sensors doi: 10.3390/s90805952 – volume: 144 start-page: 56 year: 2008 ident: ref_3 article-title: Dynamics and control of a mems angle measuring gyroscope publication-title: Sens. Actuat. A. doi: 10.1016/j.sna.2007.12.033 – ident: ref_13 – ident: ref_14 – reference: 22454566 - Sensors (Basel). 2009;9(8):5952-67 |
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| SubjectTerms | adaptive control Algorithms angle measurement Computer Simulation Control algorithms Micro-Electrical-Mechanical Systems - instrumentation Models, Theoretical Rotation Sensors trajectory following Vibration vibratory gyroscope |
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| Title | Adaptive Control of a Vibratory Angle Measuring Gyroscope |
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