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Reachable set synthesis for singular systems with time-varying delay via the adaptive event-triggered scheme

Journal Article


Abstract


  • This work is concerned with the problem of reachable set synthesis for a class of singular systems with time-varying delay via the adaptive event-triggered scheme. Compared with the static event-triggered mechanism, the adaptive event-triggered mechanism can save the communication resources more effectively. By virtue of Lyapunov stability theory, sufficient conditions are given to guarantee the stability of the closed-loop system and that the reachable set of the resulting system is bounded by the obtained ellipsoid. In addition, by using linear matrix inequality technique and free-weighting matrix method, the weighting matrix of event-triggered condition and proportional-derivative (P-D) feedback controller gains are obtained. The effectiveness and superiority of the developed control approach are substantiated by a numerical example and two practical examples.

Publication Date


  • 2022

Citation


  • Zhang, L., Cao, Y., Feng, Z., & Zhao, N. (2022). Reachable set synthesis for singular systems with time-varying delay via the adaptive event-triggered scheme. Journal of the Franklin Institute, 359(2), 1503-1521. doi:10.1016/j.jfranklin.2021.11.032

Scopus Eid


  • 2-s2.0-85122012555

Web Of Science Accession Number


Start Page


  • 1503

End Page


  • 1521

Volume


  • 359

Issue


  • 2

Abstract


  • This work is concerned with the problem of reachable set synthesis for a class of singular systems with time-varying delay via the adaptive event-triggered scheme. Compared with the static event-triggered mechanism, the adaptive event-triggered mechanism can save the communication resources more effectively. By virtue of Lyapunov stability theory, sufficient conditions are given to guarantee the stability of the closed-loop system and that the reachable set of the resulting system is bounded by the obtained ellipsoid. In addition, by using linear matrix inequality technique and free-weighting matrix method, the weighting matrix of event-triggered condition and proportional-derivative (P-D) feedback controller gains are obtained. The effectiveness and superiority of the developed control approach are substantiated by a numerical example and two practical examples.

Publication Date


  • 2022

Citation


  • Zhang, L., Cao, Y., Feng, Z., & Zhao, N. (2022). Reachable set synthesis for singular systems with time-varying delay via the adaptive event-triggered scheme. Journal of the Franklin Institute, 359(2), 1503-1521. doi:10.1016/j.jfranklin.2021.11.032

Scopus Eid


  • 2-s2.0-85122012555

Web Of Science Accession Number


Start Page


  • 1503

End Page


  • 1521

Volume


  • 359

Issue


  • 2