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Zonotopic reachable set estimation for linear discrete-time systems with time delay

Journal Article


Abstract


  • This article studies reachable set estimation for linear discrete-time systems with time delay, which are influenced by unknown but bounded disturbances. We propose a novel reachable set estimation method based on zonotopes for the considered systems. The proposed method can estimate real-time reachable set under nonzero initial conditions. In order to increase estimation accuracy, we propose an iterative method to reduce the conservatism caused by the couplings between reachable sets at different instants. The effectiveness of the proposed method is illustrated by three numerical simulations.

Publication Date


  • 2020

Citation


  • Zhang, Z., Wang, Z., Tang, W., Feng, Z., & Shen, Y. (2020). Zonotopic reachable set estimation for linear discrete-time systems with time delay. International Journal of Robust and Nonlinear Control, 30(14), 5542-5558. doi:10.1002/rnc.5095

Scopus Eid


  • 2-s2.0-85087880377

Web Of Science Accession Number


Start Page


  • 5542

End Page


  • 5558

Volume


  • 30

Issue


  • 14

Abstract


  • This article studies reachable set estimation for linear discrete-time systems with time delay, which are influenced by unknown but bounded disturbances. We propose a novel reachable set estimation method based on zonotopes for the considered systems. The proposed method can estimate real-time reachable set under nonzero initial conditions. In order to increase estimation accuracy, we propose an iterative method to reduce the conservatism caused by the couplings between reachable sets at different instants. The effectiveness of the proposed method is illustrated by three numerical simulations.

Publication Date


  • 2020

Citation


  • Zhang, Z., Wang, Z., Tang, W., Feng, Z., & Shen, Y. (2020). Zonotopic reachable set estimation for linear discrete-time systems with time delay. International Journal of Robust and Nonlinear Control, 30(14), 5542-5558. doi:10.1002/rnc.5095

Scopus Eid


  • 2-s2.0-85087880377

Web Of Science Accession Number


Start Page


  • 5542

End Page


  • 5558

Volume


  • 30

Issue


  • 14