Abstract
This article discusses the issues of applying the technology of embedding systems to study the invariance of the output of complex controlled electrical systems under small disturbances as stationary deterministic multidimensional dynamic systems. The technique of controller synthesis based on the modern matrix theory is presented. The synthesis of the regulator of the model of a multi-machine electrical system is obtained, which makes it possible to analyze the influence of the parameters of the electrical system mode.
Highlights
One of the most important properties of a dynamical system is its invariance
As noted in [1], "the problem of invariance is the problem of determining such structures and parameters of control systems, under which the influence of arbitrarily changing external disturbances and eigen parameters of systems on the dynamic characteristics of control processes can be partially or completely compensated." The automatic control systems created in this way have very high levels of accuracy and quality and are less susceptible to the influence of various kinds of noise or interference
It should be noted that there are various types of invariant systems, differing both in design principles and in functional capabilities. This is because the input-output sets of complex electric power systems (EPS) are subject to ambiguous transformations associated with the presence of zero divisors and non-commutativity of operators, i.e., algebraic features of the system under study, characteristic only for multidimensional systems
Summary
One of the most important properties of a dynamical system is its invariance. As noted in [1], "the problem of invariance is the problem of determining such structures and parameters of control systems, under which the influence of arbitrarily changing external disturbances and eigen parameters of systems on the dynamic characteristics of control processes can be partially or completely compensated." The automatic control systems created in this way have very high levels of accuracy and quality and are less susceptible to the influence of various kinds of noise or interference.This problem is quite extensive and was first posed by Professor G.V. As noted in [1], "the problem of invariance is the problem of determining such structures and parameters of control systems, under which the influence of arbitrarily changing external disturbances and eigen parameters of systems on the dynamic characteristics of control processes can be partially or completely compensated." The automatic control systems created in this way have very high levels of accuracy and quality and are less susceptible to the influence of various kinds of noise or interference. This is because the input-output sets of complex electric power systems (EPS) are subject to ambiguous transformations associated with the presence of zero divisors and non-commutativity of operators, i.e., algebraic features of the system under study, characteristic only for multidimensional systems
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