Spectral approach to H∞-optimal SISO synthesis problem

E. Veremey, M. Sotnikova

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


This paper is devoted to a particular case of H∞-optimization problem for LTI systems with scalar control, external disturbance and measurement noise. This problem can be numerically solved with the help of the well-known universal approaches based on Riccati equations, LMI or maximum entropy technique. Nevertheless, in our opinion there exists a possibility to implement a special form of spectral approach, using polynomial factorization for the mentioned particular situation. The correspondent technique is proposed with the aim to increase a computational efficiency of the synthesis and to present an optimal solution in a specific form, which is convenient for investigation. Some theoretical details are discussed and numerical algorithms are developed for practical implementation. Theirs applicability and effectiveness are illustrated by the examples of H∞-optimal synthesis.
Original languageEnglish
Pages (from-to)405-414
JournalWSEAS Transaction on Systems and Control
StatePublished - 2014

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