Brief Multivariable anti-windup controller synthesis using linear matrix inequalities

  • Authors:

  • Eric F. Mulder;Mayuresh V. Kothare;Manfred Morari

  • Affiliations:

  • Department of Chemical Engineering, Lehigh University, 111 Research Drive, Bethlehem, PA 18015, USA;Department of Chemical Engineering, Lehigh University, 111 Research Drive, Bethlehem, PA 18015, USA;Automatic Control Laboratory, Swiss Federal Institute of Technology (ETH), Physikstrasse 3, 8092 Zürich, Switzerland

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2001

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Abstract

We present a general formulation of the problem of multi-variable anti-windup bumpless transfer (AWBT) controller synthesis which provides sufficient conditions for stability covering a large class of typical input nonlinearities such as saturation, deadzone, and switching/override nonlinearities. The resulting synthesis method demonstrates graceful performance degradation whenever input nonlinearities are active through minimization of a weighted L"2 gain. The main contribution of the paper is that the AWBT controller synthesis, using static compensation, is cast as a convex optimization over linear matrix inequalities.