Robust observed-state feedback design for discrete-time systems rational in the uncertainties

• Autores: Dimitri Peaucelle, Yoshio Ebihara, Yohei Hosoe
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 76, 2017, págs. 96-102
• Idioma: inglés
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• Resumen

  • Abstract Design of controllers in the form of a state-feedback coupled to a state observer is studied in the context of uncertain systems. The classical approach by Luenberger is revisited. Results provide a heuristic design procedure that mimics the independent state-feedback/observer gains design by minimizing the coupling of observation error dynamics on the ideal state-feedback dynamics. The proposed design and analysis conditions apply to linear systems rationally-dependent on uncertainties defined in the cross-product of polytopes. Convex linear matrix inequality results are given thanks to the combination of a descriptor multi-affine representations of systems and the S -variable approach. Stability and H ∞ performances are assessed by multi-affine parameter-dependent Lyapunov matrices.