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Aerospace Instrument-Making

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ON ONE APPROACH TO THE STABILIZATION OF MULTIDIMENSIONAL SYSTEMS BY PEER-TO-PEER REGULATORS
V.N. Ryabchenko, A.V. Proletarskij, N.E. Zubov, I.M. Galiaskarov

In the paper, for the synthesis of controls of multidimensional systems, a regulator formula is presented, called a peer-to-peer formula, which is an alternative, respectively, to the Ackermann and Bass-Hur formulas. The search for a solution is based on the relationship of the tape controllability criterion with the coefficients of the characteristic polynomial, which is determined by the corresponding equation. It is shown that the set of regulators for the MIMO system is formed by variation of the vector parameter. The issues of constructing a state observer are also considered.
Keywords: multidimensional dynamical systems, Ackerman and Bass-Hur formulas, peer-to-peer regulators, state observers.


DOI: 10.25791/aviakosmos.12.2021.1252

Pp. 03-09.

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