Robust Adaptive Control and L2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay

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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Main Authors: Weiwei Sun, Guochen Pang, Pan Wang, Lianghong Peng
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/183279
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spelling 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 AT weiweisun robustadaptivecontrolandl2disturbanceattenuationforuncertainhamiltoniansystemswithtimedelay
AT guochenpang robustadaptivecontrolandl2disturbanceattenuationforuncertainhamiltoniansystemswithtimedelay
AT panwang robustadaptivecontrolandl2disturbanceattenuationforuncertainhamiltoniansystemswithtimedelay
AT lianghongpeng robustadaptivecontrolandl2disturbanceattenuationforuncertainhamiltoniansystemswithtimedelay
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