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Asymptotic stability of linear descriptor systems with time-delay by designing delay margin

Zahedi, F ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1109/ICCIAutom.2017.8258647
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2018
  4. Abstract:
  5. In this paper a new approach is developed to stabilize descriptor systems with time-delay, while time-delay can belong to a given interval. This approach takes the advantages of system's singularity to simplify the model and uses the so-called Rekasius substitution to compute the controller parameters in a way that the asymptotic stability of the closed-loop system in the given interval of the delay can be guaranteed. Finally, a numerical example is provided to evaluate the proposed method's effectiveness. © 2017 IEEE
  6. Keywords:
  7. Descriptor system ; Stability ; Time-delay system ; Asymptotic stability ; Closed loop systems ; Convergence of numerical methods ; Describing functions ; Numerical methods ; State feedback ; System stability ; Time delay ; Timing circuits ; Controller parameter ; Delay margin ; Descriptor systems ; Linear descriptor systems ; New approaches ; Time-delay systems ; Delay control systems
  8. Source: 5th International Conference on Control, Instrumentation, and Automation, ICCIA 2017 ; Volume 2018-January , 2018 , Pages 23-29 ; 9781538621349 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/8258647