doi: 10.17586/2226-1494-2016-16-2-371-374

# ALGEBRAIC PROPERTIES OF MATRIX COMPONENTS OF CONTROL PLANT MODELS IN PLACEMENT STATE MATRIX MODES OF SYSTEM ALGORITHMS FOR DESIGNED SYSTEM

N. A. Vunder, A. V. Ushakov

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For citation: Vunder N.A., Ushakov A.V. Algebraic properties of matrix components of control plant models in placement state matrix modes of system algorithms for designed system.Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2016, vol. 16, no. 2, pp. 371–374. doi:10.17586/2226-1494-2016-16-2-371-374

Abstract

Subject of Research.The paper deals with the problem of required placement of state matrix modes in the system being designed.Methods.The problem has been solved with the use of vector matrix formalism of state space method with the dominant attention at the algebraic properties of the object control matrix. Main Results. Algebraic conditions have been obtained imposed on the matrix components of control plant and system models, which has helped to create the algorithms for solving the tasks without necessarily resorting to matrix Sylvester equation and Ackermann's formula. Practical Relevance. User’s base of algorithms for synthesis procedures of control systems with specified quality indices has been extended.

Keywords: matrix modes placement, control matrix image, synthesis algorithms

Acknowledgements. This work was supported by the Government of the Russian Federation, Grant 074-U01 and the Ministry of Education and Science (Project 14. Z50.31.0031).

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