This article is cited in 3 papers

Discrete Systems

Estimation of the limit accuracy of discrete systems for a class of dynamic controllers relative to the output

Yu. V. Sadomtsev^a, O. Yu. Torgashova<sup>b

a</sup> Institute of Precision Mechanics and Control, Russian Academy of Sciences
^b Saratov State Technical University

Abstract: A problem is considered for the estimation of the limit accuracy of multidimensional discrete systems for a definite class of dynamic controllers relative to the output, which differ in the fact that certain of the poles of a closed system prove to be zero ones, while the remaining poles are either the poles of a linear-quadratic controller or the poles of the Kalman filter that is dual with respect to this controller. Asymptotic properties of such controllers are investigated and for a minimum-phase object, a limit (minimum possible) control error is defined in the explicit form, for which the Euclidean norm of the vector of steady-state values of controllable variables is taken. An example of synthesis of a multidimensional discrete systems by the prescribed requirements for a static accuracy, which illustrates the obtained results, is given.

Presented by the member of Editorial Board: V. N. Bukov

Received: 21.02.2005

 English version: Automation and Remote Control, 2005, 66:9, 1423–1439

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