Rank-One Scaled ℋ∞ Optimization

[+] Author and Article Information
Tetsuya Iwasaki

Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259 Nagatsuta-cho, Midori-ku, Yokohama, Kanagawa 226, Japan

Mario A. Rotea

School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN 47907

J. Dyn. Sys., Meas., Control 119(3), 513-520 (Sep 01, 1997) (8 pages) doi:10.1115/1.2801287 History: Received December 12, 1994; Online December 03, 2007


This paper gives a solution to the scaled ℋ∞ optimization problem with constant scalings and output feedback. It is shown that, when the nominal plant transfer matrix has a special rank-one property, this optimization problem is equivalent to a sequence of convex optimization problems involving linear matrix inequalities. These results are demonstrated with a flight control example. The primary contribution of the example is a method for weight selection that is applicable to problems in which ℋ∞ optimization is used as the design tool.

Copyright © 1997 by The American Society of Mechanical Engineers
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