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Robust state estimation and unknown inputs reconstruction for a class of nonlinear systems: Multiobjective approach

Delshad, Saleh S.; S. Delshad, Iman; Johansson, Andreas; Darouach, Mohamed; Gustafsson, Thomas

Authors

Saleh S. Delshad

Iman S. Delshad

Andreas Johansson

Mohamed Darouach

Thomas Gustafsson



Abstract

© 2015 Elsevier Ltd. We consider a novel method to design H∞ observers for a class of uncertain nonlinear systems subject to unknown inputs. First, the main system dynamics are rewritten as an augmented system with state vector including both the state vector of the main system and the unknown inputs. Then, we design a H∞ reduced-order observer to estimate both state variables and unknown inputs simultaneously. Based on a Lyapunov functional, we derive a sufficient condition for existence of the designed observer which requires solving a nonlinear matrix inequality. To facilitate the observer design, the achieved condition is formulated in terms of a set of linear matrix inequalities (LMI). By extending the proposed method to a multiobjective optimization problem, the maximum bound of the uncertainty and the minimum value of the disturbance attenuation level are found. Finally, the proposed observer is illustrated with an example.

Citation

Delshad, S. S., S. Delshad, I., Johansson, A., Darouach, M., & Gustafsson, T. (2016). Robust state estimation and unknown inputs reconstruction for a class of nonlinear systems: Multiobjective approach. Automatica, 64, 1-7. https://doi.org/10.1016/j.automatica.2015.10.051

Journal Article Type Conference Paper
Acceptance Date Oct 16, 2015
Online Publication Date Nov 14, 2015
Publication Date Feb 1, 2016
Journal Automatica
Print ISSN 0005-1098
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 64
Pages 1-7
DOI https://doi.org/10.1016/j.automatica.2015.10.051
Keywords H∞ observer design, nonlinear systems, unknown inputs reconstruction, multiobjective optimization
Public URL https://uwe-repository.worktribe.com/output/914655
Publisher URL http://dx.doi.org/10.1016/j.automatica.2015.10.051
Related Public URLs http://www.sciencedirect.com/science/article/pii/S0005109815004604


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