Robust observed-state feedback design for discrete-time systems rational in the uncertainties. (February 2017)

• Record Type: Journal Article
• Authors: Peaucelle, Dimitri; Ebihara, Yoshio; Hosoe, Yohei
• Is Part Of: Automatica. Volume 76(2017)
• Page Start: 96
• Page End: 102
• Publication Date: 2017-02
• Subjects: Robust control -- Descriptor systems -- State observers -- State feedback -- Linear systems -- Uncertain systems -- Convex optimization; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.10.003
• Languages: English
• ISSNs: 0005-1098

Abstract

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.