Synthesis of Linear and Nonlinear Systems of Terminal Control Based on Models of the Terminal State

Evgeniy A. Shushlyapin

doi:10.1615/JAutomatInfScien.v32.i4.20

Journal of Automation and Information Sciences

Editor en Jefe: Arkadiy A. Chikriy (open in a new tab)

Editor Asociados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

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Synthesis of Linear and Nonlinear Systems of Terminal Control Based on Models of the Terminal State

Volumen 32, Edición 4, 2000, pp. 6-11

DOI: 10.1615/JAutomatInfScien.v32.i4.20

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Evgeniy A. Shushlyapin
Sevastopol State Technical University, Ukraine

SINOPSIS

Equivalent models of terminal state for the terminal systems with quadratic criterion of the terminal state are formulated by applying the Cauchy-Lagrange and the Alekseyev formulas. Methods for terminal systems synthesis were constructed for these models. One method is based on application of the maximum principle, which gives an analytical expression for controlling the terminal state for linear nonstationary systems. The second method is a new approach, which is specially suited for models of the terminal state. Within the new approach algorithms for controlling linear and nonlinear systems, where control is formed as a function of current state, were worked out.

PALABRAS CLAVE: nonstationary terminal systems, quadratic criterion, Cauchy-Lagrange and Alekseyev formulas, terminal systems synthesis, maximum principle.

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