Dissipative interval observer design for discrete‐time nonlinear systems
This paper studies the problem of designing interval observers for a family of discrete‐time nonlinear systems subject to parametric uncertainties and external disturbances. The design approach states that the interval observers are constituted by a couple of preserving order observers, one providin...
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| Veröffentlicht in: | Asian journal of control Jg. 22; H. 4; S. 1422 - 1436 |
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| Sprache: | Englisch |
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01.07.2020
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| ISSN: | 1561-8625, 1934-6093 |
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| Abstract | This paper studies the problem of designing interval observers for a family of discrete‐time nonlinear systems subject to parametric uncertainties and external disturbances. The design approach states that the interval observers are constituted by a couple of preserving order observers, one providing an upper estimation of the state while the other provides a lower one. The design aim is to apply the cooperative and dissipative properties to the discrete‐time estimation error dynamics in order to guarantee that the upper and lower estimations are always above and below the true state trajectory for all times, while both estimations asymptotically converge towards a neighborhood of the true state values. The approach represents an extension to the original method proposed by the authors, which focuses on the continuous‐time nonlinear systems. In some situations, the design conditions can be formulated as bilinear matrix inequalities (BMIs) and/or linear matrix inequalities (LMIs). Two simulation examples are provided to show the effectiveness of the design approach. |
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| AbstractList | This paper studies the problem of designing interval observers for a family of discrete‐time nonlinear systems subject to parametric uncertainties and external disturbances. The design approach states that the interval observers are constituted by a couple of preserving order observers, one providing an upper estimation of the state while the other provides a lower one. The design aim is to apply the cooperative and dissipative properties to the discrete‐time estimation error dynamics in order to guarantee that the upper and lower estimations are always above and below the true state trajectory for all times, while both estimations asymptotically converge towards a neighborhood of the true state values. The approach represents an extension to the original method proposed by the authors, which focuses on the continuous‐time nonlinear systems. In some situations, the design conditions can be formulated as bilinear matrix inequalities (BMIs) and/or linear matrix inequalities (LMIs). Two simulation examples are provided to show the effectiveness of the design approach. |
| Author | Avilés, Jesús D. Moreno, Jaime A. |
| Author_xml | – sequence: 1 givenname: Jesús D. orcidid: 0000-0002-8820-6534 surname: Avilés fullname: Avilés, Jesús D. email: david.aviles@uabc.edu.mx organization: Universidad Autónoma de Baja California – sequence: 2 givenname: Jaime A. orcidid: 0000-0002-2556-9784 surname: Moreno fullname: Moreno, Jaime A. organization: Instituto de Ingeniería ‐ Universidad Nacional Autónoma de México, Ciudad Universitaria |
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| Cites_doi | 10.1016/j.sysconle.2010.08.005 10.1002/asjc.997 10.1016/j.automatica.2010.10.019 10.1002/asjc.932 10.23919/ECC.2013.6669108 10.1016/j.automatica.2015.07.001 10.1016/S0005-1098(01)00028-0 10.1080/00207179.2018.1490820 10.1016/j.automatica.2013.09.016 10.1016/S1474-6670(17)30549-9 10.1109/TAC.2013.2263936 10.1109/CDC.2009.5400347 10.1016/j.jfranklin.2018.05.038 10.1016/j.automatica.2018.06.012 10.1080/002071700219678 10.1002/rnc.3030 10.1109/ACCESS.2018.2869840 10.1007/978-3-319-54211-9_3 10.1134/S0005117916020016 10.1016/j.jprocont.2003.12.006 10.1080/10236190412331335445 10.1016/j.automatica.2016.04.002 10.1109/TAC.2003.817920 10.1007/978-1-84628-517-2 10.1016/j.isatra.2016.11.016 10.1109/TAC.2011.2164820 10.1109/ACC.2013.6580206 10.1007/11529798_3 10.1016/j.automatica.2008.07.006 10.1002/rnc.2975 10.1109/TAC.2013.2241476 10.1137/1.9781611970777 10.1016/S0304-3800(00)00279-9 10.1002/rnc.1656 |
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| Title | Dissipative interval observer design for discrete‐time nonlinear systems |
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