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Robust observer and observer-based control designs for discrete one-sided Lipschitz systems subject to uncertainties and disturbances

Version 2 2024-06-04, 10:07
Version 1 2019-03-14, 12:57
journal contribution
posted on 2024-06-04, 10:07 authored by CM Nguyen, Pubudu PathiranaPubudu Pathirana, Hieu TrinhHieu Trinh
In this paper, we study the robust observer design and observer-based control design problems for a class of discrete one-sided Lipschitz systems subject to uncertainties and disturbances. The nonlinearities are assumed to be one-sided Lipschitz and quadratically inner-bounded. By utilizing a new approach which is an extension of the H ∞ filtering method, our robust observer design can relax some limitations in existing works. In order to derive design conditions in terms of linear matrix inequalities, several mathematical techniques are appropriately used to linearize the bilinear terms which unavoidably emerge in observer and observer-based control designs for discrete-time uncertain systems. Via a numerical example, we show that while existing works fail, our results work effectively.

History

Journal

Applied Mathematics and Computation

Volume

353

Pagination

42-53

Location

Amsterdam, The Netherlands

ISSN

0096-3003

eISSN

1873-5649

Language

English

Publication classification

C1 Refereed article in a scholarly journal

Copyright notice

2019, Elsevier Inc

Publisher

ELSEVIER SCIENCE INC