Toward a More Efficient Implementation of Distributed-Delay Elements

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding


This note studies lumped-delay approximations of distributed-delay elements arising in various problems involving delay compensation or preview utilization. Several approaches to reduce implementation complexity, understood as the number of delays required to attain a required accuracy level, are put forward. First, we derive the H2-optimal coefficients for a given delay pattern. This can be seen as a problem-oriented alternative to traditionally used Newton-Cotes numerical integration rules. Second, we propose a computationally efficient method for finding the H2-optimal delay pattern, which uses dynamic programming on multistage graphs. Third, we propose a convex optimization approach, based on ℓ1 heuristics, of reducing the number of delays under hard bounds on the H∞-norm of the approximation error. Numerical simulations demonstrate efficiency of the proposed algorithms.


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Control Engineering


  • Numerical methods, Time-delay systems, Dead-time compensation
Original languageEnglish
Title of host publication[Host publication title missing]
PublisherIEEE - Institute of Electrical and Electronics Engineers Inc.
Number of pages6
Publication statusPublished - 2013
Publication categoryResearch
Event52nd IEEE Conference on Decision and Control, 2013 - Florence, Italy
Duration: 2013 Dec 102013 Dec 13
Conference number: 52


Conference52nd IEEE Conference on Decision and Control, 2013
Abbreviated titlecdc2013
Internet address