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Decentralized state feedback robust H ∞  control using a differential evolution algorithm


  • Hendra G. Harno,

    1. Department of Electrical Engineering and Computer Science, University of Central Florida, Orlando FL, USA
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    • Hendra G. Harno is currently affiliated with the Faculty of Electrical Engineering, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal, 76100 Melaka, Malaysia. E-mail:

  • Ian R. Petersen

    Corresponding author
    1. School of Engineering and Information Technology, Australian Defence Force Academy, Canberra ACT, Australia
    • Correspondence to: Ian R. Petersen, School of Engineering and Information Technology, the University of New South Wales at the Australian Defence Force Academy (UNSW@ADFA), Northcott Drive, Canberra ACT 2600, Australia.


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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.