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Decomposition and robust non-fragile stabilisation of singular time-delay systems

Zahedi, F ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1049/iet-cta.2017.1150
  3. Abstract:
  4. This study presents a new approach to decompose singular time-delay systems (STDSs) in a way that they can be transformable to normal time-delay systems (TDSs) with a lower order. Necessary and sufficient conditions are provided to determine which STDSs can be transformed to TDSs. Also, a stabilisation method is provided to stabilise the system, while the time delay in the system can belong to several distinct intervals or even everywhere. The proposed method is non-fragile towards controller parameters. This method also reveals one of the many applicable situations of the proposed decomposition. The effectiveness of the proposed method is illustrated through some examples. © 2018 The Institution of Engineering and Technology
  5. Keywords:
  6. Closed loop systems ; Stabilization ; Time delay ; Timing circuits ; Controller parameter ; New approaches ; Non-fragile ; Singular time delay system ; Time-delay systems ; Delay control systems
  7. Source: IET Control Theory and Applications ; Volume 12, Issue 13 , 2018 , Pages 1882-1888 ; 17518644 (ISSN)
  8. URL: https://ieeexplore.ieee.org/document/8436550