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    Noncertainty-Equivalence Spacecraft Adaptive Formation Control with Filtered Signals

    Source: Journal of Aerospace Engineering:;2017:;Volume ( 030 ):;issue: 005
    Author:
    Keum W. Lee
    ,
    Sahjendra N. Singh
    DOI: 10.1061/(ASCE)AS.1943-5525.0000741
    Publisher: American Society of Civil Engineers
    Abstract: The paper develops a noncertainty-equivalence adaptive (NCEA) spacecraft formation control system, using filtered signals, based on the immersion and invariance methodology. It is assumed that a target spacecraft is in an elliptic orbit and a follower satellite is moving around it. It is also assumed that the mass of the follower satellite is not known, and its dynamics include time-varying periodic as well as random disturbance forces. The objective is to design an adaptive control system so that the follower spacecraft remains in a specified formation with respect to the target spacecraft. First, based on the immersion and invariance theory, a control system—consisting of an adaptive stabilizing law and a parameter identifier—is designed for the relative position control of the follower satellite, perturbed by time-varying periodic forces. The control system is synthesized using filtered signals. Unlike traditional certainty-equivalence adaptive laws, the parameter estimates include certain nonlinear algebraic functions, besides signals obtained by integral action. Based on the Lyapunov approach, it is shown that all the signals in the closed-loop system are bounded, and that the relative position trajectory error asymptotically converges to zero. A special feature of the control systems is that the trajectories of the closed-loop system eventually evolve on an attractive manifold in an extended state space. Furthermore, the parameter identifier has strong stability properties. Although the NCEA system is robust to disturbance inputs, σ modification is introduced in the update law for regulating the residual set, and global uniform ultimate boundedness of the trajectories is established. Simulation results are presented which show that the designed control system achieves precise formation control, despite parameter uncertainty and time-varying periodic and random disturbance forces.
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      Noncertainty-Equivalence Spacecraft Adaptive Formation Control with Filtered Signals

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4242001
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    contributor authorKeum W. Lee
    contributor authorSahjendra N. Singh
    date accessioned2017-12-16T09:22:21Z
    date available2017-12-16T09:22:21Z
    date issued2017
    identifier other%28ASCE%29AS.1943-5525.0000741.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4242001
    description abstractThe paper develops a noncertainty-equivalence adaptive (NCEA) spacecraft formation control system, using filtered signals, based on the immersion and invariance methodology. It is assumed that a target spacecraft is in an elliptic orbit and a follower satellite is moving around it. It is also assumed that the mass of the follower satellite is not known, and its dynamics include time-varying periodic as well as random disturbance forces. The objective is to design an adaptive control system so that the follower spacecraft remains in a specified formation with respect to the target spacecraft. First, based on the immersion and invariance theory, a control system—consisting of an adaptive stabilizing law and a parameter identifier—is designed for the relative position control of the follower satellite, perturbed by time-varying periodic forces. The control system is synthesized using filtered signals. Unlike traditional certainty-equivalence adaptive laws, the parameter estimates include certain nonlinear algebraic functions, besides signals obtained by integral action. Based on the Lyapunov approach, it is shown that all the signals in the closed-loop system are bounded, and that the relative position trajectory error asymptotically converges to zero. A special feature of the control systems is that the trajectories of the closed-loop system eventually evolve on an attractive manifold in an extended state space. Furthermore, the parameter identifier has strong stability properties. Although the NCEA system is robust to disturbance inputs, σ modification is introduced in the update law for regulating the residual set, and global uniform ultimate boundedness of the trajectories is established. Simulation results are presented which show that the designed control system achieves precise formation control, despite parameter uncertainty and time-varying periodic and random disturbance forces.
    publisherAmerican Society of Civil Engineers
    titleNoncertainty-Equivalence Spacecraft Adaptive Formation Control with Filtered Signals
    typeJournal Paper
    journal volume30
    journal issue5
    journal titleJournal of Aerospace Engineering
    identifier doi10.1061/(ASCE)AS.1943-5525.0000741
    treeJournal of Aerospace Engineering:;2017:;Volume ( 030 ):;issue: 005
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian