4.7 Article

Event-triggered H∞ feedback control for delayed singular jump systems based on sampled observer and exponential detector

Journal

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 31, Issue 15, Pages 7298-7316

Publisher

WILEY
DOI: 10.1002/rnc.5679

Keywords

event-triggered H(infinity )feedback control; exponential detector; sampled observer; singular jump systems; stochastic admissibility

Funding

  1. National Natural Science Foundation of China [61773191, 61973148, 61773207]
  2. Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions [2019KJI010]
  3. Natural Science Fund for Distinguished Young Scholars of Jiangsu Province [BK20190020]
  4. Natural Science Foundation of Shandong Province for Outstanding Young Talents in Provincial Universities [ZR2016JL025]
  5. Natural Science Foundation of Shandong Province for Key Projects [ZR2020KA010]
  6. Undergraduate Education Reform Project of higher Education in Shandong Province [M2018X047]
  7. Liaocheng University Education Reform Project Foundation [G201811, 26322170267]

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This paper investigates the problem of event-triggered H-infinity feedback control for time-varying delays singular jump systems using sampled observer and exponential detector. By designing control strategies to transmit state estimate signals, the validity and superiority of the proposed technique are demonstrated through simulation examples, including an oil catalytic cracking process. Stochastic admissibility, stabilization, and H-infinity performance conditions are obtained in terms of linear matrix inequalities.
This paper is intended to investigate the problem of event-triggered H-infinity feedback control for time-varying delays singular jump systems based on sampled observer and exponential detector. By virtue of the designed event-triggered control strategies, the state estimate signals are transmitted to the controller under the networked communication environment and aperiodic sampling scheme. The driving threshold is devised by exponentially decreasing function, which is used to guarantee not only the validity of event-triggered strategy but also the admissibility of the delayed singular jump systems. Neoteric stochastic admissibility, stabilization and H-infinity performance conditions are obtained in terms of linear matrix inequalities. Simulation examples including an oil catalytic cracking process are utilized to illustrate the validity and superiority of the proposed event-triggered feedback control technique.

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