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

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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.

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Authors and Affiliations

  1. University of Rostock, Rostock, Germany

    B. P. Lampe

  2. The State Marine Technical University, St. Petersburg, Russia

    E. N. Rosenwasser

Authors
  1. B. P. Lampe
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  2. E. N. Rosenwasser
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Original Russian Text © B.P. Lampe, E.N. Rosenwasser, 2010, published in Avtomatika i Telemekhanika, 2010, No. 1, pp. 57–79.

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Lampe, B.P., Rosenwasser, E.N. H2-optimization of time-delayed sampled-data systems on the basis of the parametric transfer matrix method. Autom Remote Control 71, 49–69 (2010). https://doi.org/10.1134/S0005117910010054

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