Interval Estimation for LPV Systems Applying High Order Sliding Mode Techniques

Abstract : In this paper, the problem of design of interval observers for Linear-Parameter-Varying (LPV) systems, containing non detectable or non strongly observable parts, is addressed. Firstly, a High Order Sliding Mode (HOSM) method is applied to the strongly observable subsystem, obtained by an appropriate change of coordinates, to estimate the state and its derivative. Secondly, this information is used to decrease the level of uncertainty in the rest of the system, which leads to improvement of accuracy of the set-membership estimates generated by an interval observer. Moreover, it is shown that HOSM techniques allows us to relax the applicability conditions of standard interval observer design methods. The efficiency of the proposed approach is demonstrated through simulation examples.
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Denis Efimov, Leonid Fridman, Tarek Raissi, Ali Zolghadri, Ramatou Seydou. Interval Estimation for LPV Systems Applying High Order Sliding Mode Techniques. Automatica, Elsevier, 2012, 48, pp.2365−2371. ⟨hal-00701643⟩

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