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Sufficient conditions for the synthesis of H∞ fixed‐order controllers
Authors:Massimiliano Mattei
Abstract:This brief note deals with the synthesis of H fixed‐order controllers for linear systems. It is well known that this problem can be formulated as a bilinear matrix inequality optimization problem which is non convex and NP hard to solve. In this paper sufficient conditions are provided which allow to convert the controller design into a linear matrix inequality feasibility problem. A numerical example on a practical control problem shows the application of the proposed technique. Copyright © 2000 John Wiley & Sons, Ltd.
Keywords:fixed‐order controllers  H∞   control  linear matrix inequalities  convex optimization
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