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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

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Analytical Design of Multivariable Control Systems by Dynamical Decomposition Method

Journal of Applied Nonlinear Dynamics 3(4) (2014) 325--332 | DOI:10.5890/JAND.2014.12.004

Anatoly R. Gaiduk; Kseniya V. Besklubova; Elena A. Plaksienko

Department of Control Systems, Southern Federal University, Taganrog, 347928, Russia

Department of Mathematics and Informatics, Taganrog Management and Economy Institute, 347900, Russia

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Design of multivariable control systems for complex technical plants with several interrelated channels and controlled variables is difficult problem. Usually here it is necessary to provide either independent (autonomous, unrelated) or coherent control of output variables. This design problem can be solved by using the analytical method implying exact, dynamical decomposition of the multivariable plant to the set of an independent single input–single output channels. The dynamic decomposition method is based on decomposing property of the adjunct matrix and provides realized of control action as function of output variables, reference input and measured disturbances (control on output and inputs) of the system. The efficiency of this analytical method is shown by the numerical example of control system design for the turbojet engine of the gas-pumping station with three interrelated channels.


The work presented here is supported by the grant of RFBR No.13-08-00249.


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