H∞ Control of Systems with Multiple I/O Delays via Decomposition to Adobe Problems

by Gjerrit Meinsma and Leonid Mirkin
Abstract: In this paper the standard (four-block) H∞ control problem for systems with multiple i/o delays in the feedback loop is studied. The central idea is to see the multiple delay operator as a special series connection of elementary delay operators, called the adobe delay operators. The adobe delay case is solved and thereby the general case is solved as a nested set of solutions to adobe delay problems.
Keywords: Time-delay systems, dead-time compensation, H∞ control.
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BibTeX entry: 
@article{MM:05,
  author = "G. Meinsma and L. Mirkin",
  title = "{$H^\infty$} Control of Systems with Multiple {I/O} Delays via Decomposition to Adobe Problems",
  journal = "IEEE Trans.\ Automat.\ Control",
  volume = "50",
  year = "2005",
  number = "2",
  pages = "199--211"
}