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H∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs

journal contribution
posted on 2014-01-01, 00:00 authored by M Benallouch, M Boutayeb, Hieu TrinhHieu Trinh
This paper investigates the problem of robust observer-based stabilization for a class of one-sided nonlinear discrete-time systems subjected to unknown inputs. We propose a simple simultaneous state and input estimator. A nonlinear controller is then proposed to compensate for the effects of unknown inputs and to ensure asymptotic stability in a closed loop. Several mathematical artifacts are used to deduce stability conditions expressed in terms of linear matrix inequalities. To show high performances of the proposed technique, a relevant example is provided with comparisons to recent results.

History

Journal

SIAM Journal on Control and Optimization

Volume

52

Pagination

3751-3775

Location

Philadelphia, Pa.

ISSN

0363-0129

Language

eng

Publication classification

C Journal article, C1 Refereed article in a scholarly journal

Copyright notice

2014, Society for Industrial & Applied Mathematics

Issue

6

Publisher

Society for Industrial and Applied Mathematics