Nonlinear Disturbance Observer-Based Control for a Class of Port-Controlled Hamiltonian Disturbed Systems

In this paper, a composite control scheme is presented to asymptotically stabilize a class of port-controlled Hamiltonian systems under nonvanishing disturbances. First, based on the damping injection method and the nonlinear disturbance observer (NDOB) technique, the robust composite control strate...

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Main Authors: Baozeng Fu, Qingzhi Wang, Wei He
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8456501/
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author Baozeng Fu
Qingzhi Wang
Wei He
author_facet Baozeng Fu
Qingzhi Wang
Wei He
author_sort Baozeng Fu
collection DOAJ
description In this paper, a composite control scheme is presented to asymptotically stabilize a class of port-controlled Hamiltonian systems under nonvanishing disturbances. First, based on the damping injection method and the nonlinear disturbance observer (NDOB) technique, the robust composite control strategy is designed. The NDOB, as an effective observation tool, is developed to estimate the disturbances, and furthermore, the disturbances can be feedforward compensated using the estimates of disturbances. Then, for the augmented system, an asymptotic stability theorem is proposed via an input-to-state stability technique and Lyapunov stability theorems. The proposed control approach exhibits not only good robustness and disturbance rejection performances but also the property of nominal performance recovery. Finally, a simulation example on a circuit system is given to show the feasibility and advantage of the composite control method.
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spelling doaj.art-9258a7d6c67648278476603190123aee2022-12-21T20:21:29ZengIEEEIEEE Access2169-35362018-01-016502995030510.1109/ACCESS.2018.28689198456501Nonlinear Disturbance Observer-Based Control for a Class of Port-Controlled Hamiltonian Disturbed SystemsBaozeng Fu0https://orcid.org/0000-0001-5205-2978Qingzhi Wang1Wei He2School of Automation, Southeast University, Nanjing, ChinaInstitute of Complexity Science, College of Automation and Electrical Engineering, Qingdao University, Qingdao, ChinaSchool of Automation, Southeast University, Nanjing, ChinaIn this paper, a composite control scheme is presented to asymptotically stabilize a class of port-controlled Hamiltonian systems under nonvanishing disturbances. First, based on the damping injection method and the nonlinear disturbance observer (NDOB) technique, the robust composite control strategy is designed. The NDOB, as an effective observation tool, is developed to estimate the disturbances, and furthermore, the disturbances can be feedforward compensated using the estimates of disturbances. Then, for the augmented system, an asymptotic stability theorem is proposed via an input-to-state stability technique and Lyapunov stability theorems. The proposed control approach exhibits not only good robustness and disturbance rejection performances but also the property of nominal performance recovery. Finally, a simulation example on a circuit system is given to show the feasibility and advantage of the composite control method.https://ieeexplore.ieee.org/document/8456501/Asymptotic stabilityport-controlled Hamiltonian systemsdamping injectionnonvanishing disturbancesnonlinear disturbance observerinput-to-state stability
spellingShingle Baozeng Fu
Qingzhi Wang
Wei He
Nonlinear Disturbance Observer-Based Control for a Class of Port-Controlled Hamiltonian Disturbed Systems
IEEE Access
Asymptotic stability
port-controlled Hamiltonian systems
damping injection
nonvanishing disturbances
nonlinear disturbance observer
input-to-state stability
title Nonlinear Disturbance Observer-Based Control for a Class of Port-Controlled Hamiltonian Disturbed Systems
title_full Nonlinear Disturbance Observer-Based Control for a Class of Port-Controlled Hamiltonian Disturbed Systems
title_fullStr Nonlinear Disturbance Observer-Based Control for a Class of Port-Controlled Hamiltonian Disturbed Systems
title_full_unstemmed Nonlinear Disturbance Observer-Based Control for a Class of Port-Controlled Hamiltonian Disturbed Systems
title_short Nonlinear Disturbance Observer-Based Control for a Class of Port-Controlled Hamiltonian Disturbed Systems
title_sort nonlinear disturbance observer based control for a class of port controlled hamiltonian disturbed systems
topic Asymptotic stability
port-controlled Hamiltonian systems
damping injection
nonvanishing disturbances
nonlinear disturbance observer
input-to-state stability
url https://ieeexplore.ieee.org/document/8456501/
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AT qingzhiwang nonlineardisturbanceobserverbasedcontrolforaclassofportcontrolledhamiltoniandisturbedsystems
AT weihe nonlineardisturbanceobserverbasedcontrolforaclassofportcontrolledhamiltoniandisturbedsystems