Mixed H 2 / H ∞ control of flexible structures

D. P. De Farias, M. C. De Oliveira and J. C. Geromel

Mathematical Problems in Engineering, 2001, vol. 6, 1-42

Abstract:

This paper addresses the design of full order linear dynamic output feedback controllers for flexible structures. Unstructured H ∞ uncertainty models are introduced for systems in modal coordinates and in reduced order form. Then a controller is designed in order to minimize a given H 2 performance function while keeping the maximum supported H ∞ perturbation below some appropriate level. To solve this problem we develop an algorithm able to provide local optimal solutions to optimization problems with convex constraints and non-convex but differentiable objective functions. A controller design procedure based on a trade-off curve is proposed and a simple example is solved, providing a comparison between the proposed method and the usual minimization of an upper bound H 2 to the norm. The method is applied to two different flexible structure theoretical models and the properties of the resulting controllers are shown in several simulations.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:739142

DOI: 10.1155/S1024123X00001484

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