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Robust Predictive Control of Singular Systems with Structured Feedback Uncertainty

  • Xiaohua Liu
  • Rong Gao
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 269)

Abstract

The problem of output feedback robust model predictive control is presented for the singular systems with structured feedback uncertainties which is described into linear fractional model. When the system states are immeasurable, the sufficient conditions for the existence of output feedback controller are obtained by linear matrix inequalities. The infinite time domain “min-max” optimization problem is converted into convex optimization problem. The robust stability of the closed-loop singular systems is guaranteed by the initial feasible solution of the optimization problem.The regularity and the impulse-free of singular systems are also held. A simulation example shows the effectiveness of the method.

Keywords

Robust predictive control Singular systems Uncertainty Output feedback Linear matrix inequalities 

Notes

Acknowledgments

This work is supported by National Nature Science Foundation under Grant 61174097.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Xiaohua Liu
    • 1
  • Rong Gao
    • 1
  1. 1.School of Mathematics and InformationLudong UniversityYantaiPeople’s Republic of China

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