Abstract: This paper is devoted to H2-optimization of linear time invariant (LTI) systems with scalar controls and external disturbances. It is supposed that the intensities of control actions are not given initially for all channels of control. In conformity, a joined problem of H2-optimal synthesis is posed including allocation of control actions. To solve this problem, a specific spectral approach in frequency domain is developed based on polynomial factorization. Some theoretical details are discussed and numerical algorithm is proposed for practical implementation of this approach, which allows to increase a computational efficiency of synthesis. Applicability and effectiveness of the proposed approach are illustrated by numerical example.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 16, 2017, Art. #19
Evgeny Veremey, Yaroslav Knyazkin, "SISO Problems of H2-Optimal Synthesis with Allocation of Control Actions," WSEAS Transactions on Systems and Control, vol. 16, pp. 183-192, 2017, DOI:
Evgeny Veremey, Yaroslav Knyazkin. SISO Problems of H2-Optimal Synthesis with Allocation of Control Actions.
WSEAS Transactions on Systems and Control. 2017;16:183-192.