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Controlled Invariant Sets of Discrete-Time Linear Systems with Bounded Disturbances

Author

Listed:
  • Chengdan Wang

    (College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China)

  • Hongli Yang

    (College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China)

  • Ivan Ganchev Ivanov

    (Faculty of Economics and Business Administration, Sofia University “St. Kl. Ohridski”, 125 Tzarigradsko Chaussee Blvd., Bl. 3, 1113 Sofia, Bulgaria)

Abstract

This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances. In the proposed methods, the robustly controlled invariant set of discrete-time systems is obtained by solving the linear matrix inequality given by logarithmic norm and difference inequality. Illustrative examples are presented to demonstrate the obtained methods.

Suggested Citation

  • Chengdan Wang & Hongli Yang & Ivan Ganchev Ivanov, 2023. "Controlled Invariant Sets of Discrete-Time Linear Systems with Bounded Disturbances," Mathematics, MDPI, vol. 11(15), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3421-:d:1211555
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    References listed on IDEAS

    as
    1. Nguyen D. That & Phan T. Nam & Q. P. Ha, 2013. "Reachable Set Bounding for Linear Discrete-Time Systems with Delays and Bounded Disturbances," Journal of Optimization Theory and Applications, Springer, vol. 157(1), pages 96-107, April.
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    Cited by:

    1. Hongli Yang & Chengdan Wang & Xiao Bi & Ivan Ganchev Ivanov, 2024. "Robust Invariance Conditions of Uncertain Linear Discrete Time Systems Based on Semidefinite Programming Duality," Mathematics, MDPI, vol. 12(16), pages 1-14, August.

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