Observer for differential inclusion systems with incremental quadratic constraints

Lin Yang, Jun Huang, Min Zhang and Ming Yang

International Journal of Systems Science, 2020, vol. 51, issue 15, 2999-3012

Abstract: This paper studies an exponential observer design method for a kind of differential inclusion systems. The set-valued term is monotone, while the nonlinear term satisfies incremental quadratic constraints. The extended-type observer framework for the system is proposed, and the existence conditions are obtained by the constraints of linear matrix inequalities and linear matrix equalities. Specially, the algorithm of computing the incremental multiplier matrix is also discussed. The availability of the proposed method is verified by three numerical examples.

Date: 2020
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DOI: 10.1080/00207721.2020.1805041

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