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arXiv · 2010.00913

Static Output Feedback in an Anisotropic Norm Setup Revisited

Adrian-Mihail Stoica·Isaac Yaesh
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Abstract

The synthesis problem of static output feedback controllers within the anistropic-norm setup is revisited. A tractable synthesis approach involving iterations over a convex optimization problem is suggested, similarly to existing results for the Hinfinity-norm minimization case. The results are formulated by a couple of Linear Matrix Inequalities coupled via a bilinear equality, revealing, as in the Hinfinity case, the duality between the control-type and filtering type LMIs and allowing a tractable iterative method to cope with practical static output feedback synthesis problems. The resulting optimization scheme is then applied to a flight control problem, where the merit of the anisotropic norm setup is shown to provide a useful trade-off between closed loop response and feedback gains.

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Adrian-Mihail Stoica, Isaac Yaesh. 2020-10-02. Static Output Feedback in an Anisotropic Norm Setup Revisited. https://arxiv.org/abs/2010.00913

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