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Integrity of LTI Time-Delay Systems

Eslami, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1109/TAC.2015.2444111
  3. Publisher: Institute of Electrical and Electronics Engineers Inc
  4. Abstract:
  5. Multivariate ring-model description and the delay operator are used to represent LTI systems with delays in the states, inputs and outputs. By using the concept of μ-Decentralized Fixed Mode (μ-DFM) and generalized Nyquist criterion, it is demonstrated that the steady-state gain information yet remains the only information necessary to assess integral stabilizability (IS), integral controllability (IC), integral controllability with integrity (ICI) and decentralized integral controllability (DIC) of LTI time-delay systems. The conditions involve no approximation of the delay terms. Furthermore, it is demonstrated that a previous assumption on the existence of a stabilizing and stable controller (strong stability) is unnecessary, since it is implicitly satisfied
  6. Keywords:
  7. Decentralized control ; Time-delay system ; Controllability ; Decentralized control ; Delay control systems ; Linear systems ; Decentralized fixed modes ; Delay operators ; Generalized Nyquist criterions ; Integrity ; Stable controllers ; Steady-state gain ; Strong stability ; Time delay
  8. Source: IEEE Transactions on Automatic Control ; Volume 61, Issue 2 , 2016 , Pages 562-567 ; 00189286 (ISSN)
  9. URL: http://ieeexplore.ieee.org/document/7122272