Performance output tracking for a wave equation subject to unmatched general boundary harmonic disturbance
In this paper, we consider performance output reference tracking for a wave equation with general harmonic disturbance at one end and the control at the other end. We first design a state reference system determined completely by the measured output and the reference signal where the parameter updat...
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| Published in | Automatica (Oxford) Vol. 68; pp. 194 - 202 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.06.2016
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0005-1098 1873-2836 |
| DOI | 10.1016/j.automatica.2016.01.041 |
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| Abstract | In this paper, we consider performance output reference tracking for a wave equation with general harmonic disturbance at one end and the control at the other end. We first design a state reference system determined completely by the measured output and the reference signal where the parameter update law is presented. An adaptive servomechanism output feedback control is then designed. It is shown that the closed-loop system is well-posed. Three control objectives are achieved: (a) the performance output is tracking the reference signal; (b) all the internal-loops are bounded; (c) when the disturbance and reference are disconnected, the closed-loop is exponentially stable. Finally, the state of system is shown to be tracking the reference state and the updated parameters are convergent to their true values. |
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| AbstractList | In this paper, we consider performance output reference tracking for a wave equation with general harmonic disturbance at one end and the control at the other end. We first design a state reference system determined completely by the measured output and the reference signal where the parameter update law is presented. An adaptive servomechanism output feedback control is then designed. It is shown that the closed-loop system is well-posed. Three control objectives are achieved: (a) the performance output is tracking the reference signal; (b) all the internal-loops are bounded; (c) when the disturbance and reference are disconnected, the closed-loop is exponentially stable. Finally, the state of system is shown to be tracking the reference state and the updated parameters are convergent to their true values. In this paper, we consider performance output reference tracking for a wave equation with general harmonic disturbance at one end and the control at the other end. We first design a state reference system determined completely by the measured output and the reference signal where the parameter update law is presented. An adaptive servomechanism output feedback control is then designed. It is shown that the closed-loop system is well-posed. Three control objectives are achieved: (a) the performance output is tracking the reference signal; (b) all the internal-loops are bounded; (c) when the disturbance and reference are disconnected, the closed-loop is exponentially stable. Finally, the state of system is shown to be tracking the reference state and the updated parameters are convergent to their true values. |
| Author | Guo, Wei Guo, Bao-Zhu |
| Author_xml | – sequence: 1 givenname: Wei surname: Guo fullname: Guo, Wei email: guowei74@126.com organization: School of Statistics, University of International Business and Economics, Beijing 100029, China – sequence: 2 givenname: Bao-Zhu surname: Guo fullname: Guo, Bao-Zhu email: bzguo@iss.ac.cn organization: School of Mathematical Science, Shanxi University, Taiyuan 030006, China |
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| Cites_doi | 10.1093/imamci/19.3.279 10.1109/9.895561 10.1137/0315033 10.1002/rnc.1843 10.1137/060676969 10.1137/0327028 10.1016/0005-1098(76)90006-6 10.1109/TAC.2009.2013032 10.1016/0167-6911(83)90032-4 10.1109/TAC.1985.1104078 10.1109/9.45168 10.3182/20080706-5-KR-1001.00037 10.1109/TAC.1976.1101137 10.1016/j.automatica.2011.08.033 10.1016/S0005-1098(03)00192-4 10.1137/S0363012991217482 10.1137/090781140 10.1137/090757976 |
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| SubjectTerms | Adaptive control systems Boundaries Disturbance rejection Disturbances Harmonics Output feedback Performance output tracking Reference signals Tracking Wave equation Wave equations |
| Title | Performance output tracking for a wave equation subject to unmatched general boundary harmonic disturbance |
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