Adaptive Control for Nonlinear Systems with Time-Varying Control Gain
We propose a scheme for nonlinear plants with time-varying control gain and time-varying plant coefficients, on the basis of a plant model consisting of a Brunovsky-type model with polynomials as approximators. We develop an adaptive robust control scheme for this plant, under the following assumpti...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/269346 |
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| _version_ | 1832562682597736448 |
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| author | Alejandro Rincon Fabiola Angulo |
| author_facet | Alejandro Rincon Fabiola Angulo |
| author_sort | Alejandro Rincon |
| collection | DOAJ |
| description | We propose a scheme for nonlinear plants with time-varying control gain and time-varying plant coefficients, on the basis of a plant model consisting of a Brunovsky-type model with polynomials as approximators. We develop an adaptive robust control scheme for this plant, under the following assumptions: (i) the plant terms involve time-varying but bounded coefficients, being its upper bound unknown; (ii) the control gain is unknown, not necessarily bounded, and only its signum is known. To achieve robustness, we use a combination of robustifying control inputs and dead zone-type update laws. We apply this methodology to the speed control of a permanent magnet synchronous motor (PMSM), and we achieve proper tracking results. |
| format | Article |
| id | doaj-art-8fbc87accc7a44849324c50c263bd31f |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-8fbc87accc7a44849324c50c263bd31f2025-02-03T01:22:06ZengWileyJournal of Control Science and Engineering1687-52491687-52572012-01-01201210.1155/2012/269346269346Adaptive Control for Nonlinear Systems with Time-Varying Control GainAlejandro Rincon0Fabiola Angulo1Programa de Ingeniería Ambiental, Facultad de Ingeniería y Arquitectura, Universidad Católica de Manizales, Carrena 23 No. 60-30, Manizales 170002, ColombiaDepartamento de Ingeniería Eléctrica, Facultad de Ingeniería y Arquitectura, Universidad Nacional de Colombia, Sede Manizales, Electrónica y Computación, Percepción y Control Inteligente, Bloque Q, Campus La Nubia, Manizales 170003, ColombiaWe propose a scheme for nonlinear plants with time-varying control gain and time-varying plant coefficients, on the basis of a plant model consisting of a Brunovsky-type model with polynomials as approximators. We develop an adaptive robust control scheme for this plant, under the following assumptions: (i) the plant terms involve time-varying but bounded coefficients, being its upper bound unknown; (ii) the control gain is unknown, not necessarily bounded, and only its signum is known. To achieve robustness, we use a combination of robustifying control inputs and dead zone-type update laws. We apply this methodology to the speed control of a permanent magnet synchronous motor (PMSM), and we achieve proper tracking results.http://dx.doi.org/10.1155/2012/269346 |
| spellingShingle | Alejandro Rincon Fabiola Angulo Adaptive Control for Nonlinear Systems with Time-Varying Control Gain Journal of Control Science and Engineering |
| title | Adaptive Control for Nonlinear Systems with Time-Varying Control Gain |
| title_full | Adaptive Control for Nonlinear Systems with Time-Varying Control Gain |
| title_fullStr | Adaptive Control for Nonlinear Systems with Time-Varying Control Gain |
| title_full_unstemmed | Adaptive Control for Nonlinear Systems with Time-Varying Control Gain |
| title_short | Adaptive Control for Nonlinear Systems with Time-Varying Control Gain |
| title_sort | adaptive control for nonlinear systems with time varying control gain |
| url | http://dx.doi.org/10.1155/2012/269346 |
| work_keys_str_mv | AT alejandrorincon adaptivecontrolfornonlinearsystemswithtimevaryingcontrolgain AT fabiolaangulo adaptivecontrolfornonlinearsystemswithtimevaryingcontrolgain |