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IMA Journal of Mathematical Control and Information 2002 19(1 and 2):185-199; doi:10.1093/imamci/19.1_and_2.185
© 2002 by Institute of Mathematics and its Applications
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H{infty} control of system with I/O delay: a review of some problem-oriented methods

Leonid Mirkin1 and Gilead Tadmor2

1 Faculty of Mechanical Engineering, Technion—IIT, Haifa 32000, Israel 2 Electrical & Computer Engineering, Northeastern University, Boston, MA 02115, USA

Systems with input or output delays form the simplest, and yet one of the most widely applied classes of distributed parameter models. This is a review of some problem-oriented H{infty} methods for that class, with an emphasis on computational simplicity. Reviewed methods include operator interpolation, game-theoretic state-space treatments in the time domain, a J-spectral factorization approach, and methods exploiting various ideas from sampled-data theory. Some interesting properties of the (sub) optimal solution are discussed as well.

Keywords: dead-time systems; delay compensation H{infty} control.


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