H2-optimization of time-delayed sampled-data systems on the basis of the parametric transfer matrix method

  • Authors:
  • B. P. Lampe;E. N. Rosenwasser

  • Affiliations:
  • University of Rostock, Rostock, Germany;The State Marine Technical University, St. Petersburg, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2010

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Abstract

A solution to the H 2-optimization problem for multi-input-multi-output sampled-data system with delay is presented on the basis of the parametric transfer matrix concept. A procedure is developed for design of the optimal controller by means of factorization and separation of real rational matrices. Some qualitative properties of the H 2-optimal system are established, which are useful for applications. In particular, it is proved that there is a set of fixing poles of continuous-time elements of the system, and performance of the optimal system is limited because of them. A constructive algorithm is given for determination of the set of fixing poles.