апроксимація

Пропонується новий метод отримання передавальних функцій об’єктів регулювання за їх експериментальними імпульсними характеристиками, який полягає у тому, що задача ідентифікації зводиться до математичної задачі апроксимації експериментальних даних аналітичними виразами і розв’язання її за допомогою інформаційних технологій.

Наведено метод апроксимації функцій поліномами з дійсними степенями, в якому підбір степеня здійснюється за допомогою генетичного алгоритму.

The method of approximation of functions by polynomials with real powers, which is the power of selection with a genetic algorithm.

The method of calibrating diode temperature sensors, based on a combination of two generalized methods: spline interpolation and approximation using orthogonal Chebyshev polynomials. The program of implementation of the OS Android. The established requirements for calibration carried out to obtain the final result thermometric curve as accurately as possible. It automates the process of obtaining the interpolation table and optimize calibration procedure. The method for approximating the characteristics tested termodiod sensor type DT-471 company Lake Shore.

One of modern possible problem solutions of analysis and synthesis in electromechanical systems is the recourse to a genetic algorithm as a method of artificial intelligence. The originality of the proposed approach lies in the usage of fractional order models to solve the above-mentioned problem. The quality function is proposed to be used in the developed algorithms for analysis and synthesis procedures of electromechanical systems. It is also proposed to get the desired outcome of results deviation from the set values by means of quality function control after each iteration.

Aim. Improvements of the methods of approximation of settling by exponential, finely-rational, polynomial, and sinusoidal functions with the definition of intervals between observation cycles. Methods and results of the work. The methods of approximation and prognostication of settling of control benchmarks of building are examined.

This paper is devoted to the comparative analysis of algorithms for identification and recognition of the projected laser line. The principles of these methods, their negative and positive aspects and the possibilities of their implementation for 3D-scanning devices are described. Algorithms approbation was conducted on experimental setup using C++ programming language and OpenCV library. It is shown that, depending on the image size and details of the input image, one or another algorithm should be applied

Purpose. Planetary problems play in geosciences very important role. The aim of this work is to improve methods and algorithms for approximating of the physical surface of the planet by biaxial and triaxial ellipsoid for study the dynamics of change of its shape. Methods. Classical approaches to the determination of Earths shape provide computation of evolution ellipsoid parameters of that in the best way fits to geoid, or quasigeoid. Such approach allows to provide initial reference surface for many coordinates systems.

This paper presents investigation of the image's possibility of distribution of lumply-continuous functions with are presented by Legendre polynomials and practical realization of this technique and methods for its improving were investigated.