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Interval observer for LPV systems with unknown inputs

Abstract : This study addresses the problem of guaranteed state and unknown input (UI) estimation for a class of linear parameter varying systems affected by UIs and other bounded perturbations. The context of interval observer in the cooperative framework is adopted. Thus, lower and upper bounds of the state and UI are provided. No assumption is made on the UI. The approach is based on a rank condition allowing to decouple the UI from the state estimation errors (so that the state estimation is guaranteed, regardless of the variation of the UI). The convergence of the proposed interval observer is studied by Lyapunov theory and stability conditions are expressed in terms of linear matrix inequalities which ease the design of the gain matrices of the observer. Finally, illustrative examples are given for discussion and comparison with respect to the existing results.
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Contributor : Frédéric Davesne Connect in order to contact the contributor
Submitted on : Wednesday, January 31, 2018 - 11:33:51 AM
Last modification on : Saturday, May 1, 2021 - 3:49:33 AM



Luc Meyer, Dalil Ichalal, Vincent Vigneron. Interval observer for LPV systems with unknown inputs. IET Control Theory and Applications, Institution of Engineering and Technology, 2018, 12 (5), pp.649--660. ⟨10.1049/iet-cta.2017.0788⟩. ⟨hal-01697432⟩



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