Matrix Sylvester equation in problem of direct design of stabilizing feedback of linear discrete-time stationary system on basis of data on its states

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Abstract

The paper presents a solution to the problem of designing a stabilizing state feedback for a linear multivariable discrete-time stationary system based on data of the system's behavior. It is assumed that the system matrices are unknown. An algorithm for directly designing a feedback matrix based on the Sylvester matrix equation without solving the identification problem is considered. Conditions for the existence of a solution to the design problem are obtained. A numerical example is considered.

About the authors

E. A. Perepelkin

Saint-Petersburg State University of Aerospace Instrumentation

Author for correspondence.
Email: perepelkin@guap.ru
Russian Federation, Saint-Petersburg

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