Adaptive output tracking for 1-D wave equations subject to unknown harmonic disturbances
In this paper, we are concerned with an adaptive output tracking problem for one-dimensional anti-stable wave equations with unknown harmonic disturbance and reference signals which have both unknown frequencies and amplitudes. The output and disturbance are non-collocated to the control input. Firs...
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| Published in | IEEE transactions on automatic control Vol. 69; no. 4; pp. 1 - 8 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.04.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-9286 1558-2523 |
| DOI | 10.1109/TAC.2023.3333797 |
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| Abstract | In this paper, we are concerned with an adaptive output tracking problem for one-dimensional anti-stable wave equations with unknown harmonic disturbance and reference signals which have both unknown frequencies and amplitudes. The output and disturbance are non-collocated to the control input. First, we construct an auxiliary system and internal model dynamic to restructure the measurable tracking error such that the error consists of these available states. Then, an adaptive method is used to estimate the unknown parameters. Using an invertible transformation, we convert the non-collocated configuration into the collocated ones so that the conventional method can be applied. Finally, error-based feedback is proposed to realize output tracking. Numerical simulations validate these theoretical results. |
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| AbstractList | In this article, we are concerned with an adaptive output tracking problem for 1-D antistable wave equations with unknown harmonic disturbance and reference signals which have both unknown frequencies and amplitudes. The output and disturbance are noncollocated to the control input. First, we construct an auxiliary system and internal model dynamic to restructure the measurable tracking error such that the error consists of these available states. Then, an adaptive method is used to estimate the unknown parameters. Using an invertible transformation, we convert the noncollocated configuration into the collocated ones so that the conventional method can be applied. Finally, error-based feedback is proposed to realize output tracking. Numerical simulations validate these theoretical results. In this paper, we are concerned with an adaptive output tracking problem for one-dimensional anti-stable wave equations with unknown harmonic disturbance and reference signals which have both unknown frequencies and amplitudes. The output and disturbance are non-collocated to the control input. First, we construct an auxiliary system and internal model dynamic to restructure the measurable tracking error such that the error consists of these available states. Then, an adaptive method is used to estimate the unknown parameters. Using an invertible transformation, we convert the non-collocated configuration into the collocated ones so that the conventional method can be applied. Finally, error-based feedback is proposed to realize output tracking. Numerical simulations validate these theoretical results. |
| Author | Wang, Jun-Min Wu, Xiao-Hui |
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| Snippet | In this paper, we are concerned with an adaptive output tracking problem for one-dimensional anti-stable wave equations with unknown harmonic disturbance and... In this article, we are concerned with an adaptive output tracking problem for 1-D antistable wave equations with unknown harmonic disturbance and reference... |
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| SubjectTerms | Adaptation models adaptive anti-stable wave equation Backstepping Error analysis error feedback Harmonic analysis Mathematical models Numerical simulation output tracking Propagation Reference signals Tracking errors Tracking problem Trajectory unknown harmonic disturbances Wave equations |
| Title | Adaptive output tracking for 1-D wave equations subject to unknown harmonic disturbances |
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