Digital Integrators with Examples. C Code and Octave Script 1. Abbreviation 2. Introduction It follows from (2) that the transfer function of the analog ideal integrator: or in the frequency space of (7), (10): Then the magnitude and phase responses… Read More
The Numerical Solution of Partial Differential Equations with an Example. C Code and Octave Script 1. Abbreviation 2. Introduction Most partial differential equations cannot be solved analytically (in exact) form, therefore numerical (approximate) solution methods are used. In… Read More
The Runge-Kutta and Hamming Methods for Numerical Solution of Ordinary Differential Equations with an Example. C Code and Octave Script 1. Abbreviation 2. Introduction Most differential equations cannot be solved analytically (in exact) form, so various numerical (approximate)… Read More
Modal Synthesis Method for Control Systems with an Example. C Code and Octave Script 1. Abbreviation 2. Introduction The modal synthesis method is based on the selection of suitable roots of a characteristic linear differential equation for a closed loop… Read More
Control of Non Linear Object Using the Vostrikov’s Localization Method. C Code and Octave Script 1. Abbreviation 2. Introduction This article is a continuation of the article “Control System Using the Localization Method from A. S. Vostrikov. C Code and… Read More
Typical Open Loop Bode Diagram for Control Systems. C Code and Octave Script 1. Abbreviation 2. Introduction Most linear control systems can be represented in the following form: Figure 2-1: Analog Control System Then the open-loop transfer function… Read More
Control System Using the Localization Method from A. S. Vostrikov. C Code and Octave Script. 1. Abbreviation 2. Introduction Here I want to consider the localization method used in control systems developed by A.S. Vostrikov and his group at Novosibirsk… Read More
Digital Derivative Filter Using Integrators. C Code and Octave Script 1. Abbreviation 2. Introduction The implementation of the input signal derivative is always a difficult task. This is due to the fact that the derivative increases at the upper… Read More
Generalized Inverse Matrix on the Example of Converting a Three-Phase Voltage (Ua, Ub, Uc) into a Two-Phase one (Uα, Uβ) in an Electric Motor 1. Abbreviation Generalized inverse matrix = Pseudoinverse matrix 2. Introduction Let there be a matrix (operator)… Read More
Matrix Functions for Digital Signal Processing. C Code and Octave Script. 1. Abbreviation 2. Introduction A mathematical model of an object (plant) can be described by a system of differential equations. Let the model be described by a system of… Read More