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Observer design for a class of nonlinear systems subject to unknown inputs

Sayyaddelshad, Saleh; S. Delshad, Iman; Gustafsson, Thomas

Authors

Saleh Sayyaddelshad

Thomas Gustafsson



Abstract

© 2014 EUCA. We consider a novel method to design an observer for a class of nonlinear discrete-time systems with unknown inputs. Based on Lyapunov functional, we derive a sufficient condition for existence of the designed observer which requires solving a nonlinear matrix inequality. In light of linear algebra, the achieved condition will be formulated in terms of linear matrix inequality (LMI) that can be solved by popular methods easily. Compared to recent researches, the developed approach shows a significant better performance than other techniques previously published in literature and is less conservative in terms of Lipschitz constant. Finally, the proposed observer is illustrated by implementing the proposed method on a single-link flexible manipulator and the results are compared to some recent similar researches in terms of performance and conservativeness.

Citation

Sayyaddelshad, S., S. Delshad, I., & Gustafsson, T. (2014). Observer design for a class of nonlinear systems subject to unknown inputs. https://doi.org/10.1109/ECC.2014.6862555

Conference Name 2014 European Control Conference, ECC 2014
Acceptance Date Mar 6, 2014
Online Publication Date Jul 24, 2014
Publication Date Jan 1, 2014
Pages 970-974
DOI https://doi.org/10.1109/ECC.2014.6862555
Keywords nonlinear systems
Public URL https://uwe-repository.worktribe.com/output/815782
Publisher URL http://dx.doi.org/10.1109/ECC.2014.6862555
Additional Information Title of Conference or Conference Proceedings : European Control Conference (ECC)