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Article · Chemical Technology, Control and Management · July 13, 2021

Synthesis of control systems for multidimensional dynamic objects under parametric uncertainty based on the invariance theory

Abstract

The problems of synthesis of control systems for multidimensional dynamic objects in the conditions of parametric uncertainty which are based on invariance theory are considered. When constructing stable synthesis algorithms, a recurrent method for determining pseudo-solutions of linear algebraic systems of equations is used. Computational algorithms for the solution based on singular matrix expansions are given. These computational procedures allow us to regularize the problem of synthesis of the considered algorithms for the synthesis of control systems for multidimensional dynamic objects under conditions of parametric uncertainty and improve the quality indicators of control processes.

Stability and Control of Uncertain SystemsAdvanced Control Systems DesignAdvanced Control Systems Optimizationcontroller synthesisparameter uncertaintyinvariance theory

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