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Keywords:

  • decentralized control;
  • state feedback;
  • integral quadratic constraint;
  • differential evolution

SUMMARY

This paper presents a new method to synthesize a decentralized state feedback robust H ∞  controller for a class of large-scale linear uncertain systems satisfying integral quadratic constraints. The decentralized controller is constructed by taking only block-diagonal elements of a nondecentralized state feedback controller and treating neglected off-diagonal blocks as uncertainties. A solution to this controller synthesis problem is given in terms of a stabilizing solution to a parametrized algebraic Riccati equation where the parameters are obtained using a differential evolution algorithm.Copyright © 2012 John Wiley & Sons, Ltd.