“Piecewise affine observer-based robust controllers for constrained nonlinear systems”

Authors: Lars Imsland, Olav Slupphaug and Bjarne A. Foss,
Affiliation: NTNU, Department of Engineering Cybernetics and ABB
Reference: 2001, Vol 22, No 4, pp. 211-225.

Keywords: output feedback, robust nonlinear control, observer design, constrained systems, bilinear matrix inequalities

Abstract: For a general class of constrained uncertain nonlinear discrete-time systems, and a general class of observers, it is developed bilinear matrix inequalities whose solution gives gain matrices used in a piecewise afline observer/controller structure. The closed-loop system is robustly quadratically stable with a region of attraction larger than a prescribed ellipsoidal region. It is also developed a second-order algorithm for solving these inequalities locally.

PDF PDF (1623 Kb)        DOI: 10.4173/mic.2001.4.2

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  title={{Piecewise affine observer-based robust controllers for constrained nonlinear systems}},
  author={Imsland, Lars and Slupphaug, Olav and Foss, Bjarne A.},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}