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Journal Articles Automatica Year : 2017

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

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 new descriptor multi-affine representations of systems and the S-variable approach. Stability and H∞ performances are assessed by multi-affine parameter-dependent Lyapunov matrices for both cases of constant and time-varying uncertainties (or combinations of the two). Numerical complexity issues and ways to keep it as limited as possible are discussed and illustrated on an academic example.
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Dates and versions

hal-01225068 , version 1 (05-11-2015)

Identifiers

  • HAL Id : hal-01225068 , version 1

Cite

Dimitri Peaucelle, Yoshio Ebihara, Yohei Hosoe. Robust observed-state feedback design for discrete-time systems rational in the uncertainties. Automatica, 2017, 76, pp.96-102. ⟨hal-01225068⟩
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