Portal de Periódicos da CAPES

Model falsification using set-valued observers for a class of discrete-time dynamic systems: a coprime factorization approach

2013; Wiley; Volume: 24; Issue: 17 Linguagem: Inglês

10.1002/rnc.3033

1099-1239

Paulo Rosa, Carlos Silvestre, Michael Athans,

Advanced Control Systems Optimization

International Journal of Robust and Nonlinear ControlVolume 24, Issue 17 p. 2928-2942 Research Article Model falsification using set-valued observers for a class of discrete-time dynamic systems: a coprime factorization approach Paulo Rosa, Corresponding Author Paulo Rosa Deimos Engenharia, Av. D. João II, Lt 1.17.01, Andar 10, 1998-023 Lisboa, Portugal Correspondence to: Paulo Rosa, Deimos Engenharia, Av. D. João II, Lt 1.17.01, Andar 10, 1998-023 Lisboa, Portugal. E-mail: [email protected]Search for more papers by this authorCarlos Silvestre, Carlos Silvestre Institute for Systems and Robotics, Instituto Superior Tecnico, Lisboa, Portugal Department of Electrical and Computer Engineering, Faculty of Science and Technology, University of Macau, Taipa, MacauSearch for more papers by this authorMichael Athans, Michael Athans Professor of EECS (emeritus), M.I.T., USASearch for more papers by this author Paulo Rosa, Corresponding Author Paulo Rosa Deimos Engenharia, Av. D. João II, Lt 1.17.01, Andar 10, 1998-023 Lisboa, Portugal Correspondence to: Paulo Rosa, Deimos Engenharia, Av. D. João II, Lt 1.17.01, Andar 10, 1998-023 Lisboa, Portugal. E-mail: [email protected]Search for more papers by this authorCarlos Silvestre, Carlos Silvestre Institute for Systems and Robotics, Instituto Superior Tecnico, Lisboa, Portugal Department of Electrical and Computer Engineering, Faculty of Science and Technology, University of Macau, Taipa, MacauSearch for more papers by this authorMichael Athans, Michael Athans Professor of EECS (emeritus), M.I.T., USASearch for more papers by this author First published: 19 June 2013 https://doi.org/10.1002/rnc.3033Citations: 9Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL SUMMARY This article introduces a new method for model falsification using set-valued observers, which can be applied to a class of discrete linear time-invariant dynamic systems with time-varying model uncertainties. In comparison with previous results, the main advantages of this approach are as follows: The computation of the convex hull of the set-valued estimates of the state can be avoided under certain circumstances; to guarantee convergence of the set-valued estimates of the state, the required number of previous steps is at most as large as the number of states of the nominal plant; and it provides a straightforward nonconservative method to falsify uncertain models of dynamic systems, including open-loop unstable plants. The results obtained are illustrated in simulation, emphasizing the advantages and shortcomings of the suggested method. Copyright © 2013 John Wiley & Sons, Ltd. Citing Literature Volume24, Issue1725 November 2014Pages 2928-2942 RelatedInformation