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Tracking with prescribed transient performance for hysteretic systems


Reference:

Ilchmann, A., Logemann, H. and Ryan, E. P., 2010. Tracking with prescribed transient performance for hysteretic systems. SIAM Journal on Control and Optimization (SICON), 48 (7), pp. 4731-4752.

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    Official URL:

    http://dx.doi.org/10.1137/070691863

    Abstract

    Tracking of reference signals (assumed bounded with essentially bounded derivative) is considered for a class of single-input, single-output, nonlinear systems, described by a functional differential equation with a hysteresis nonlinearity in the input channel. The first control objective is tracking, by the output, with prescribed accuracy: determine a feedback strategy which ensures that, for every reference signal and every system of the underlying class, the tracking error ultimately satisfies the prescribed accuracy requirements. The second objective is guaranteed output transient performance: the graph of the tracking error should be contained in a prescribed set (performance funnel). Under a weak sector boundedness assumption on the hysteresis operator, both objectives are achieved by a memoryless feedback which is universal for the underlying class of systems.

    Details

    Item Type Articles
    CreatorsIlchmann, A., Logemann, H. and Ryan, E. P.
    DOI10.1137/070691863
    Uncontrolled Keywordshysteresis, tracking, functional differential equations, disturbance rejection, transient behavior, nonlinear systems
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementLogemann_SCION_2010_48_7_4731.pdf: © 2010 Society for Industrial and Applied Mathematics
    RefereedYes
    StatusPublished
    ID Code20980

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