H∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs Benallouch, M., Boutayeb, M. and Trinh, H. 2014, H∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs, SIAM journal on control and optimization, vol. 52, no. 6, pp. 3751-3775, doi: 10.1137/130915273. Attached Files Name Description MIMEType Size Downloads trinh-observerbased-post-2014.pdf Authors' post print application/pdf 565.54KB 194 Title H∞ observer-based control for discrete-time one-sided Lipschitz systems with unknown inputs Author(s) Benallouch, M. Boutayeb, M. Trinh, H. orcid.org/0000-0003-3438-9969 Journal name SIAM journal on control and optimization Volume number 52 Issue number 6 Start page 3751 End page 3775 Total pages 24 Publisher Society for Industrial & Applied Mathematics Place of publication Philadelphia, Pa. Publication date 2014 ISSN 0363-0129 Keyword(s) Discrete-time nonlinear systems H∞ observer-based controller Linear matrix inequalities One-sided Lipschitz condition Quadratic inner-boundedness Unknown input estimation Summary 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. Language eng DOI 10.1137/130915273 Field of Research 010204 Dynamical Systems in Applications 010203 Calculus of Variations, Systems Theory and Control Theory 090602 Control Systems, Robotics and Automation Socio Economic Objective 970109 Expanding Knowledge in Engineering HERDC Research category C1 Refereed article in a scholarly journal Grant ID DP130101532 Copyright notice ©2014, Society for Industrial & Applied Mathematics Free to Read? Yes Persistent URL http://hdl.handle.net/10536/DRO/DU:30069139 Document type: Journal Article Collections: Faculty of Science, Engineering and Built Environment School of Engineering Open Access Collection Related Links Link Description Connect to Elements publication management system Go to link with your DU access privileges   Connect to published version Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au. Versions Version Filter Type Tue, 20 Jan 2015, 12:57:13 EST Tue, 20 Jan 2015, 13:40:22 EST Sat, 31 Jan 2015, 05:07:45 EST Mon, 09 Feb 2015, 10:41:55 EST Mon, 09 Feb 2015, 10:45:43 EST Mon, 09 Feb 2015, 10:48:30 EST Thu, 12 Feb 2015, 09:45:24 EST Tue, 24 Feb 2015, 09:02:45 EST Tue, 24 Feb 2015, 13:25:21 EST Thu, 05 Mar 2015, 07:57:44 EST Wed, 14 Oct 2015, 14:11:23 EST Thu, 22 Dec 2016, 08:49:22 EST Thu, 22 Dec 2016, 08:50:35 EST Wed, 31 May 2017, 16:06:18 EST Wed, 06 Dec 2017, 10:42:43 EST Fri, 07 Sep 2018, 17:50:11 EST Filtered Full Citation counts:   Cited 18 times in TR Web of Science Cited 19 times in Scopus Search Google Scholar Access Statistics: 550 Abstract Views, 195 File Downloads  -  Detailed Statistics Created: Tue, 20 Jan 2015, 12:57:13 EST