Чутливість динамічних систем зі змінною структурою та їх оптимізація

Authors

  • Л.А. Панталієнко

Abstract

SENSITIVITY OF DYNAMIC SYSTEMS WITH VARIABLE STRUCTURE AND OPTIMIZATION

L. Pantaliyenko

 

The problem of sensitivity usually arises from the need to improve the efficiency of the real object associated with various factors of influence, including the fugitive. Terms of the normal functioning of the real cover for a number of problems, including limited sensitivity and guaranteed. For these statement, under certain requirements for differentiation, impose restrictions on sensitivity functions and consider optimization problem. For sensitivity analysis of systems with variable structure, given the restrictions applicable criteria practical stability in the space of functions of sensitivity.

The purpose of research ─ development of methods for solving optimization problems and a guaranteed limited sensitivity for systems with variable structure using algorithms sustainability.

Materials and methods research. The paper used analysis methods practical stability, sensitivity and optimization algorithms.

         To solve the problem of guaranteed sensitivity of the system must first linearize in the vicinity of any settlement area and to evaluate scatter of parameters that do not violate the specified constraints.

Results. For relay systems performed numerical solving optimization problems with limited sensitivity and guaranteed practical stability.

Conclusions

With practical stability algorithms implemented numerical solving optimization problems and a guaranteed limited sensitivity for relay systems. Obtained optimal estimation of areas of initial conditions for the functions given sensitivity structures.

 

References

Rozenvasser, E. N., Yusupov, R. M. (1981). Chuvstvytelnost system upravlenyia [Sensitivity control systems]. Moscow, Russia: Science, 464.

Bublyk, B. N., Harashchenko, F. H., Kyrychenko, N. F. (1985). Strukturno-parametrycheskaia optymyzatsyia y ustoichyvost dynamyky puchkov [Structural-parametric optimization and stability of beam dynamics]. Kyiv, Ukraine: Scientific thought, 304.

Pantaliienko L. A. (2014). Doslidzhennia zadach obmezhenoi chutlyvosti metodamy praktychnoi stiikosti [Research problems of limited sensitivity methods practical stability]. Scientific Journal NUBaN Ukraine. A series of «Technology and Energy AIC», 194 (2), 243−248.

Harashchenko F. H., Pantalyienko L. A. (1993).Yssledovanye zadach praktycheskoi ustoichyvosty system s peremennoi strukturoi [Research of practical problems of stability of systems with variable structure]. Automation, 2, 3-8.

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Published

2017-02-27

Issue

No. 252 (2016)

Section

Статті

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