Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic Disturbances
We propose a generic spatial domain control scheme for a class of nonlinear rotary systems of variable speeds and subject to spatially periodic disturbances. The nonlinear model of the rotary system in time domain is transformed into one in spatial domain employing a coordinate transformation with r...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/610971 |
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| _version_ | 1832550059838799872 |
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| author | Yen-Hsiu Yang Cheng-Lun Chen |
| author_facet | Yen-Hsiu Yang Cheng-Lun Chen |
| author_sort | Yen-Hsiu Yang |
| collection | DOAJ |
| description | We propose a generic spatial domain control scheme for a class of nonlinear rotary systems of variable speeds and subject to spatially periodic disturbances. The nonlinear model of the rotary system in time domain is transformed into one in spatial domain employing a coordinate transformation with respect to angular displacement. Under the circumstances that measurement of the system states is not available, a nonlinear state observer is established for providing the estimated states. A two-degree-of-freedom spatial domain control configuration is then proposed to stabilize the system and improve the tracking performance. The first control module applies adaptive backstepping with projected parametric update and concentrates on robust stabilization of the closed-loop system. The second control module introduces an internal model of the periodic disturbances cascaded with a loop-shaping filter, which not only further reduces the tracking error but also improves parametric adaptation. The overall spatial domain output feedback adaptive control system is robust to model uncertainties and state estimated error and capable of rejecting spatially periodic disturbances under varying system speeds. Stability proof of the overall system is given. A design example with simulation demonstrates the applicability of the proposed design. |
| format | Article |
| id | doaj-art-435626589591404c93adea3fdcedb34d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-435626589591404c93adea3fdcedb34d2025-02-03T06:07:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/610971610971Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic DisturbancesYen-Hsiu Yang0Cheng-Lun Chen1R&D Division, Inventec Corporation, 66 Hou-Kang Street, Shin-Lin District, Taipei 111, TaiwanDepartment of Electrical Engineering, National Chung Hsing University, Taichung 40227, TaiwanWe propose a generic spatial domain control scheme for a class of nonlinear rotary systems of variable speeds and subject to spatially periodic disturbances. The nonlinear model of the rotary system in time domain is transformed into one in spatial domain employing a coordinate transformation with respect to angular displacement. Under the circumstances that measurement of the system states is not available, a nonlinear state observer is established for providing the estimated states. A two-degree-of-freedom spatial domain control configuration is then proposed to stabilize the system and improve the tracking performance. The first control module applies adaptive backstepping with projected parametric update and concentrates on robust stabilization of the closed-loop system. The second control module introduces an internal model of the periodic disturbances cascaded with a loop-shaping filter, which not only further reduces the tracking error but also improves parametric adaptation. The overall spatial domain output feedback adaptive control system is robust to model uncertainties and state estimated error and capable of rejecting spatially periodic disturbances under varying system speeds. Stability proof of the overall system is given. A design example with simulation demonstrates the applicability of the proposed design.http://dx.doi.org/10.1155/2012/610971 |
| spellingShingle | Yen-Hsiu Yang Cheng-Lun Chen Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic Disturbances Journal of Applied Mathematics |
| title | Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic Disturbances |
| title_full | Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic Disturbances |
| title_fullStr | Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic Disturbances |
| title_full_unstemmed | Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic Disturbances |
| title_short | Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic Disturbances |
| title_sort | spatial domain adaptive control of nonlinear rotary systems subject to spatially periodic disturbances |
| url | http://dx.doi.org/10.1155/2012/610971 |
| work_keys_str_mv | AT yenhsiuyang spatialdomainadaptivecontrolofnonlinearrotarysystemssubjecttospatiallyperiodicdisturbances AT chenglunchen spatialdomainadaptivecontrolofnonlinearrotarysystemssubjecttospatiallyperiodicdisturbances |