Abstract:
An algorithm for synthesis of robust control system for a continuous plant with uncertain interval parameters is proposed in the paper. A concept of relative intervality of the following interval mathematical objects is used to ensure robustness of the system: a scalar, a vector, a numerical characteristic of matrix namely trace. The problem is solved by the median modal control method taking into account the relative intervality of trace of the system state matrix. The trace of a matrix is the sum of the eigenvalues. The desired relative intervality value of standard system indicators is guaranteed. It is shown that relative intervality of trace of the system state matrix is equal to relative intervality of trace of multiply eigenvalue when the state matrix has one multiple eigenvalue. Relative intervality of trace of the system state matrix is changed by changing its median component. It is realized by introducing feedback on the plant state vector. The obtained results are illustrated by an example.
Keywords:
interval parameters; relative intervality; trace of matrix; estimation; median modal control; robustness.
This work was supported by the Ministry of Education and Science of
Russian Federation, goszadanie no. 8.8885.2017/8.9.
Bibliographic databases:
Document Type:
Article
UDC:
62.50
Language: Russian
Citation:
S. A. Alexandrova, S. V. Bystrov, N. A. Vunder, O. V. Slita, A. V. Ushakov, “Continuous robust system synthesis based on minimization of estimation of the relative intervality of trace of the state matrix”, Tr. SPIIRAN, 55 (2017), 63–85
\Bibitem{AleBysVun17}
\by S.~A.~Alexandrova, S.~V.~Bystrov, N.~A.~Vunder, O.~V.~Slita, A.~V.~Ushakov
\paper Continuous robust system synthesis based on minimization of estimation of the relative intervality of trace of the state matrix
\jour Tr. SPIIRAN
\yr 2017
\vol 55
\pages 63--85
\mathnet{http://mi.mathnet.ru/trspy977}
\crossref{https://doi.org/10.15622/sp.55.3}
\elib{https://elibrary.ru/item.asp?id=30685499}
Citation in format AMSBIB
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