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Enclosing ellipsoid-based reachable set estimation for discrete-time singular systems

Journal Article


Abstract


  • This article studies reachable set estimation for discrete-time singular systems. By means of system decomposition and reconstruction, singular systems can be transformed into dynamic systems together with algebraic equations. Under this representation, two novel reachable set estimation methods based on ellipsoidal sets are proposed under nonzero initial conditions. A series of enclosing ellipsoidal sets can be obtained in two derived methods for bounding real-time states of the considered systems. Finally, the effectiveness of the proposed methods is illustrated with a numerical example.

Publication Date


  • 2022

Citation


  • Zhang, Z., & Feng, Z. (2022). Enclosing ellipsoid-based reachable set estimation for discrete-time singular systems. International Journal of Robust and Nonlinear Control, 32(17), 9294-9306. doi:10.1002/rnc.6339

Scopus Eid


  • 2-s2.0-85136468866

Web Of Science Accession Number


Start Page


  • 9294

End Page


  • 9306

Volume


  • 32

Issue


  • 17

Place Of Publication


Abstract


  • This article studies reachable set estimation for discrete-time singular systems. By means of system decomposition and reconstruction, singular systems can be transformed into dynamic systems together with algebraic equations. Under this representation, two novel reachable set estimation methods based on ellipsoidal sets are proposed under nonzero initial conditions. A series of enclosing ellipsoidal sets can be obtained in two derived methods for bounding real-time states of the considered systems. Finally, the effectiveness of the proposed methods is illustrated with a numerical example.

Publication Date


  • 2022

Citation


  • Zhang, Z., & Feng, Z. (2022). Enclosing ellipsoid-based reachable set estimation for discrete-time singular systems. International Journal of Robust and Nonlinear Control, 32(17), 9294-9306. doi:10.1002/rnc.6339

Scopus Eid


  • 2-s2.0-85136468866

Web Of Science Accession Number


Start Page


  • 9294

End Page


  • 9306

Volume


  • 32

Issue


  • 17

Place Of Publication