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Modeling, Simulation and Optimization of Complex Processes HPSC 2015 pp 115–125Cite as

Aiming for Maximum Tracking Accuracy in Repetitive Control Systems

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Abstract

Feedback control systems can have reasonably good performance executing a desired trajectory, but only for frequencies up to the bandwidth of the control system. They never offer perfect tracking of an arbitrary desired trajectory. Repetitive control designs controllers to adjust the command to a feedback system aiming to converge to zero tracking error for any desired trajectory of a known period. It also aims to produce zero error in the presence of a periodic disturbance of known period. The ideal of zero tracking error is unusual in control and also challenging. This paper gives an overview of the methods preferred by the author to approach as closely as possible to this performance ideal.

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Author information

Authors and Affiliations

  1. Mechanical Engineering Department, Columbia University, MC 4703, 500 West 120th Street, New York, NY, 10027, USA

    Richard W. Longman

Authors
  1. Richard W. Longman
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Corresponding author

Correspondence to Richard W. Longman .

Editor information

Editors and Affiliations

  1. Interdisciplinary Center for Scientific Computing (IWR), Heidelberg University, Heidelberg, Germany

    Hans Georg Bock

  2. Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam

    Hoang Xuan Phu

  3. Institute of Applied Mathematics, Heidelberg University, Heidelberg, Germany

    Rolf Rannacher

  4. Interdisciplinary Center for Scientific Computing (IWR), Heidelberg University, Heidelberg, Germany

    Johannes P. Schlöder

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Longman, R.W. (2017). Aiming for Maximum Tracking Accuracy in Repetitive Control Systems. In: Bock, H., Phu, H., Rannacher, R., Schlöder, J. (eds) Modeling, Simulation and Optimization of Complex Processes HPSC 2015 . Springer, Cham. https://doi.org/10.1007/978-3-319-67168-0_10

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