Limitations of nonlinear discrete periodic control for disturbance attenuation and robust stabilization

  • Schmid R
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Abstract

This paper presents a performance analysis of nonlinear periodically time-varying discrete controllers acting upon a linear time-invariant discrete plant. Time-invariant controllers are distinguished from strictly periodically time-varying controllers. For a given nonlinear periodic controller, a time-invariant controller is constructed. Necessary and sufficient conditions are given under which the time-invariant controller gives strictly better control performance than the time-invariant controller from which it was obtained, for the attenuation of lpexogenous disturbances and the robust stabilization of lpunstructured perturbations, for all p ∈ [1, ∞]. © 2006 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Discrete nonlinear periodic control
  • Disturbance attenuation
  • Robust stabilization
  • lpspace

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Authors

  • Robert Schmid

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