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Observer for differential inclusion systems with incremental quadratic constraints

Author

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  • Lin Yang
  • Jun Huang
  • Min Zhang
  • Ming Yang

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.

Suggested Citation

  • Lin Yang & Jun Huang & Min Zhang & Ming Yang, 2020. "Observer for differential inclusion systems with incremental quadratic constraints," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(15), pages 2999-3012, November.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2999-3012
    DOI: 10.1080/00207721.2020.1805041
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    Cited by:

    1. Huang, Jun & Yang, Lin & Trinh, Hieu, 2021. "Robust control for incremental quadratic constrained nonlinear time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 405(C).

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