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A control method for a class of minimum-phase fractional-delay systems based on shaping the sensitivity function

Merrikh Bayat, F ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1109/ECTICON.2009.5137029
  3. Publisher: 2009
  4. Abstract:
  5. This paper deals with the boundary control problem for a certain class of linear infinite-dimensional systems commonly known as fractional-delay systems. It is assumed that the systems under consideration are, in general, described by multi-valued transfer functions. In this paper, we restrict our studies to a class of multi-valued transfer functions which are defined on a Riemann surface with limited number of Riemann sheets where the origin is a branch point. The proposed controller design algorithm is based on shaping the sensitivity function. Contrary to many other methods which approximate the underlying infinite-dimensional system by a finite-dimensional one and then apply a classical controller design algorithm, the proposed method directly obtains the controller without such an approximation. In the proposed method, however, the order-reduction algorithm is applied to the resulted infinite-dimensional controller at the final stage and consequently the resulted closed-loop system is much more reliable. The proposed method is applicable to both stable and unstable minimum-phase plants which have limited number of unstable poles. Two examples are used to confirm the efficiency of the proposed method and the results are discussed. ©2009 IEEE
  6. Keywords:
  7. Boundary control problems ; Branch points ; Classical controllers ; Control methods ; Controller designs ; Delay systems ; Infinite-dimensional system ; Minimum phase ; Reduction algorithms ; Riemann sheets ; Riemann surfaces ; Sensitivity functions ; Approximation algorithms ; Delay control systems ; Information technology ; Paper sheeting ; Transfer functions ; Controllers
  8. Source: 2009 6th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2009, Chonburi, 6 May 2009 through 9 May 2009 ; Volume 1 , 2009 , Pages 372-375 ; 9781424433889 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/5137029