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Model reduction of a class of discrete-time nonlinear systems

Author

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  • Ibrir, S.
  • Bettayeb, M.

Abstract

This paper considers the problem of model reduction of a class of discrete-time systems subject to Lipschitzian nonlinearities. It is shown that under some conditions the nonlinear system can be either approximated by a discrete-time linear time-invariant system or a nonlinear system of reduced order. The computation of the matrices of the reduced-order system is carried out through the solutions of a set of linear matrix inequalities. The proposed design is approved by the simulation of reduced-order dynamics of a mass-spring system subject to a nonlinear friction and a linear electric circuit with uncertain parameters.

Suggested Citation

  • Ibrir, S. & Bettayeb, M., 2015. "Model reduction of a class of discrete-time nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 78-93.
    • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:78-93
    DOI: 10.1016/j.amc.2014.10.063
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    Cited by:

    1. Li, Yanpeng & Jiang, Yaolin & Yang, Ping, 2022. "Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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