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A simplified LMI approach to l/sub 1/ controller design

Anirudh Oberoi, Juan C. Cockburn

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Abstract

In this paper a new linear matrix inequality (LMI) for peak-to-peak gain minimization is derived. The new LMI defines a convex upper bound on the non-convex-norm rendering the l/sub 1/-controller design problem convex and facilitating its integration in multiobjective design problems. It also allows the use of projection formulas which simplifies the numerical implementation of the design algorithm.

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What this paper is about

In this paper a new linear matrix inequality (LMI) for peak-to-peak gain minimization is derived. The new LMI defines a convex upper bound on the non-convex-norm rendering the l/sub 1/-controller design problem convex and facilitating its integration in multiobjective design problems. It also allows the use of projection formulas which simplifies the numerical implementation of the design algorithm.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper a new linear matrix inequality (LMI) for peak-to-peak gain minimization is derived. The new LMI defines a convex upper bound on the non-convex-norm rendering the l/sub 1/-controller design problem convex and facilitating its integration in multiobjective design problems. It also allows the use of projection formulas which simplifies the numerical implementation of the design algorithm.

Key concepts: Linear matrix inequality, Convex optimization, Regular polygon, Norm (philosophy), Mathematics, Minification, Upper and lower bounds, Mathematical optimization

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