, Volume 45, Issue 1, pp 11-19
Date: 20 Mar 2011

A multi-lobe stereo phase portrait of a three-dimensional dynamic system and visualization of the control for objects with a multiplicity of stationary states

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Abstract

The problem of predictor-corrector control of nonlinear dynamic systems based on a preliminarily constructed set of their three-dimensional phase portraits corresponding to the set of control vectors is formulated. The definition of a stereo portrait of a three-dimensional dynamic system is introduced, and a mechanism for its creation is presented; this mechanism consists in achieving some animation effect, which helps the spatial perception of images on the visual control panel. The definition of the domain of holding states is introduced for a particular class of three-dimensional models with multiple stationary states, and algorithms for the approximation of the boundaries of these domains in the extended space of phase variables and controls are developed. A description of the operation of a man-machine visual monitoring system and a step-wise control designated for a wide range of state variables are given.

Original Russian Text © A.G. Nagiev, F.B. Imranov, G.A. Nagiev, 2011, published in Avtomatika i Vychislitel’naya Tekhnika, 2011, No. 1, pp. 18–29.