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Communication Dans Un Congrès Année : 2012

An LMI solution for a class of robust open-loop problems

Benoit Bayon
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Gérard Scorletti
Eric Blanco

Résumé

The robust filter design and the robust feedforward controller design are particular cases of a larger class of problems: the robust open-loop problems. In this article, we consider a class of uncertain open-loop plants, where a filter needs to be designed to ensure that the plant satisfies chosen specifications. The representation of uncertainties is made in a very general framework: the Linear Fractional Transformation (LFT). Associated with the Dynamic Integral Quadratic Constraints framework, it allows the consideration of many classes of structured uncertainties. This paper proves that the design of a filter ensuring a robust L2-gain or H2 performance for the complete plant can be expressed as a convex optimization problem involving Linear Matrix Inequalities Constraints which can be solved using an efficient algorithm.
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Dates et versions

hal-00793954 , version 1 (02-01-2014)

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Benoit Bayon, Gérard Scorletti, Eric Blanco. An LMI solution for a class of robust open-loop problems. 2012 IEEE ACC, Jun 2012, Montréal, Canada. pp.5234-5239, ⟨10.1109/ACC.2012.6315092⟩. ⟨hal-00793954⟩
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