Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay
This paper deals with the robust stabilizability and L2 disturbance attenuation for a class of time-delay Hamiltonian control systems with uncertainties and external disturbances. Firstly, the robust stability of the given systems is studied, and delay-dependent criteria are established based on the...
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2013-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2013/183279 |
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doaj-9aff610da8884083ae3756adf2fd00982020-11-25T00:06:18ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/183279183279Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time DelayWeiwei Sun0Guochen Pang1Pan Wang2Lianghong Peng3Institute of Automation, Qufu Normal University, Qufu 273165, ChinaDepartment of Automation, Southeast University, Nanjing 210096, ChinaInstitute of Automation, Qufu Normal University, Qufu 273165, ChinaInstitute of Automation, Qufu Normal University, Qufu 273165, ChinaThis paper deals with the robust stabilizability and L2 disturbance attenuation for a class of time-delay Hamiltonian control systems with uncertainties and external disturbances. Firstly, the robust stability of the given systems is studied, and delay-dependent criteria are established based on the dissipative structural properties of the Hamiltonian systems and the Lyapunov-Krasovskii (L-K) functional approach. Secondly, the problem of L2 disturbance attenuation is considered for the Hamiltonian systems subject to external disturbances. An adaptive control law is designed corresponding to the time-varying delay pattern involved in the systems. It is shown that the closed-loop systems under the feedback control law can guarantee the γ-dissipative inequalities be satisfied. Finally, two numerical examples are provided to illustrate the theoretical developments.http://dx.doi.org/10.1155/2013/183279 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Weiwei Sun Guochen Pang Pan Wang Lianghong Peng |
spellingShingle |
Weiwei Sun Guochen Pang Pan Wang Lianghong Peng Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay Mathematical Problems in Engineering |
author_facet |
Weiwei Sun Guochen Pang Pan Wang Lianghong Peng |
author_sort |
Weiwei Sun |
title |
Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay |
title_short |
Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay |
title_full |
Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay |
title_fullStr |
Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay |
title_full_unstemmed |
Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay |
title_sort |
robust adaptive control and l2 disturbance attenuation for uncertain hamiltonian systems with time delay |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2013-01-01 |
description |
This paper deals with the robust stabilizability and L2 disturbance attenuation for a class of time-delay Hamiltonian control systems with uncertainties and external disturbances. Firstly, the robust stability of the given systems is studied, and delay-dependent criteria are established based on the dissipative structural properties of the Hamiltonian systems and the Lyapunov-Krasovskii (L-K) functional approach. Secondly, the problem of L2 disturbance attenuation is considered for the Hamiltonian systems subject to external disturbances. An adaptive control law is designed corresponding to the time-varying delay pattern involved in the systems. It is shown that the closed-loop systems under the feedback control law can guarantee the γ-dissipative inequalities be satisfied. Finally, two numerical examples are provided to illustrate the theoretical developments. |
url |
http://dx.doi.org/10.1155/2013/183279 |
work_keys_str_mv |
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