Open AccessOn Interval Observer Design for Continuous-Time LPV Switched Systems
Author(s) -
Chaima Zammali,
Jérémy Van Gorp,
Tarek Raïssi
Publication year - 2020
Publication title -
acta cybernetica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.143
H-Index - 18
eISSN - 2676-993X
pISSN - 0324-721X
DOI - 10.14232/actacyb.24.3.2020.14
Subject(s) - polytope , control theory (sociology) , observer (physics) , bounded function , interval (graph theory) , parametric statistics , mathematics , lyapunov function , quadratic equation , regular polygon , state vector , convex combination , state (computer science) , convex optimization , computer science , mathematical optimization , algorithm , nonlinear system , discrete mathematics , mathematical analysis , statistics , physics , geometry , control (management) , quantum mechanics , combinatorics , artificial intelligence , classical mechanics
State estimation for switched systems with time-varying parameters has received a great attention during the past decades. In this paper, a new approach to design an interval observer for this class of systems is proposed. The scheduling vector is described by a convex combination so that the varying parameters belong into polytopes. The considered system is also subject to measurement noise and state disturbances which are supposed to be unknown but bounded. The proposed method guarantees both cooperativity and Input to State Stability (ISS) of the upper and lower observation errors. Sufficient conditions are given in terms of Linear Matrix Inequalities (LMIs) using a common quadratic Lyapunov function. Finally, a numerical example is provided to show the effectiveness of the designed observer.
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