Block diagram algebra and system transfer functions

2016 ◽  
pp. 1-27
Keyword(s):  
Transfer Functions ◽  
Block Diagram ◽  
Diagram Algebra

Application of a Compensation Inspection Method in Geodynamic Monitoring

2015 ◽  
Vol 799-800 ◽  
pp. 989-993 ◽  
Author(s):  
Artem Bykov ◽  
Igor' Kurilov ◽  
Oleg Kuzichkin
Keyword(s):  
Transfer Functions ◽  
Block Diagram ◽  
Piecewise Linear ◽  
Linear Functions ◽  
Measuring System ◽  
System Of Equations ◽  
Piecewise Linear Functions ◽  
Geoelectric Section ◽  
Inspection Method ◽  
Geodynamic Monitoring

The paper proves the application of a compensation testing method for geodynamic monitoring when using multi-pole electrical systems. The transfer functions of a geoelectric section are presented as a system of equations, whose coefficients are determined at the initial setup of the measuring system. The block diagram of the compensation method application for geodynamic monitoring based on a multi-pole electrical system is given. Approximation in terms of continuous piecewise-linear functions will be used to distinguish the geodynamic offset vector of the geoelectric section. A system of equations for defining the geodynamic offset vector through the approximation vector by continuous piecewise-linear functions on a recorded geoelectric signal error is considered.

Transfer Functions and Input Impedances of Pressurized Piping Systems

1967 ◽  
Vol 89 (2) ◽  
pp. 440-443
Author(s):  
B. L. Johnson ◽  
D. E. Wandling
Keyword(s):  
Transfer Function ◽  
Input Impedance ◽  
Transfer Functions ◽  
Block Diagram ◽  
Single Line ◽  
Piping System ◽  
Feedback Model ◽  
Distributed Parameters ◽  
Piping Systems

This paper presents a method to determine the transfer function and input impedance of a pressurized fluid piping system. Distributed parameters are used to arrive at a transfer function of a single line, and then block-diagram feedback methods are used to model the system. The input impedance is derived from the feedback model, and methods are presented for finding the flow and pressure at any point in the system.

scholarly journals Theory and design of an experimental intelligent plant for regulating plant productivity

2020 ◽  
Vol 329 ◽  
pp. 03038
Author(s):  
Dmitry Polenov ◽  
Alexey Belyi
Keyword(s):  
Transfer Functions ◽  
Block Diagram ◽  
Plant Productivity ◽  
Main Element ◽  
Control Algorithms ◽  
Experimental Setup ◽  
Training Algorithms ◽  
Research System ◽  
Factors Affecting ◽  
General Block Diagram

The article proposes to regulate the values of factors affecting the productivity of plants using an artificial intelligence device, the main element of which is a mathematical neuron. The installation is adaptive to the growing area of the investigated plant object. This increases its efficiency and increases the importance of plant productivity. A block diagram of the experimental setup, a general block diagram of the setup control algorithms have been developed, one of the options for using the experimental setup as a research system for identifying the most significant combinations of factors affecting plant productivity has been considered. To identify the most significant combinations of factors, algorithms based on generalized training algorithms for the Hebb neural network model were used, and a study was made of a model of an installation of four inputs with sigmoidal transfer functions.

Harmonic balance and the Hopf bifurcation

1977 ◽  
Vol 82 (3) ◽  
pp. 453-467 ◽  
Author(s):  
D. J. Allwright
Keyword(s):  
Hopf Bifurcation ◽  
Harmonic Balance ◽  
Infinite Order ◽  
Transfer Functions ◽  
Block Diagram ◽  
Nyquist Diagram ◽  
Bifurcation Theorem ◽  
Control Loops ◽  
Existence And Stability ◽  
Linear Elements

SummaryA form of the Hopf bifurcation theorem specially suited to systems in block-diagram form has been developed, which allows one to deal with high or infinite order linear elements solely in terms of their transfer functions. The results are proved by the method of harmonic balance, and, for general non-linear systems, lead to criteria for the existence and stability of bifurcated orbits generalizing those derived by various authors for systems of ordinary differential equations. In the particular case of control loops with a single non-linearity, a simple addition to the Nyquist diagram of the loop determines the amplitude and frequency of bifurcated orbits, and whether they occur when the equilibrium is stable or unstable. The analysis is independent of the central manifold theorem, and of Floquet theory.

Full block diagram algebra

2017 ◽  
pp. 155-169
Author(s):  
Lyubomir T. Gruyitch
Keyword(s):  
Block Diagram ◽  
Diagram Algebra

The Derivation and Use of Aerodynamic Transfer Functions of Airframes

1955 ◽  
Vol 59 (539) ◽  
pp. 743-761 ◽  
Author(s):  
F. R. J. Spearman
Keyword(s):  
Transfer Functions ◽  
Block Diagram ◽  
Cross Coupling ◽  
Aerodynamic Characteristics ◽  
Open Loop ◽  
Control Surface ◽  
Electrical Networks ◽  
Servo Mechanism ◽  
Amplifier Design ◽  
Set Up

SummaryThe aerodynamic characteristics of airframes are expressed as aerodynamic transfer functions, giving the relationships between input and output for each of the three separate planes of motion, roll, pitch, and yaw. By assuming no cross-coupling between planes and linear aerodynamics, and by making certain other assumptions, which apply particularly to conventional airframes with fixed wings and rear controls, relatively simple approximate algebraic transfer functions giving the relationships between the control surface deflection (the input) and any airframe motion (the output), are obtained.The open loop aerodynamic transfer functions thus obtained are used as part of the auto-pilot block diagram, in which the performance of other components, such as actuators, instruments and electrical networks, are also expressed in transfer function form. The aerodynamic transfer functions are useful in auto-pilot evolution and synthesis in that they aid selection of the airframe motions to be measured, modified, and fed back to close the auto-pilot loop.For mathematical assessment of closed loop performance and stability, open loop transient and frequency responses are used, and curves of airframe responses are plotted in linear, logarithmic and polar form by standard methods from the aerodynamic transfer functions. Some methods of using these curves, which follow the general lines adopted in servo-mechanism and electronic amplifier design, are explained briefly.Analogue computers are frequently used when the computations to be made are so complicated as to need the use of a computing machine. The aerodynamic transfer functions then form one block of the simulator set-up, and on larger computers the more exact form, including any non-linearities and cross-coupling effects, can be used.

On Zadeh's block-diagram algebra

Automatica ◽  
1976 ◽  
Vol 12 (1) ◽  
pp. 103-105
Author(s):  
Fyodor A. Mikhailov
Keyword(s):  
Block Diagram ◽  
Diagram Algebra

scholarly journals A Block Diagram of Electromagnetoelastic Actuator for Control Systems in Nanoscience and Nanotechnology

2020 ◽  
Vol 8 (4) ◽  
pp. 23-33
Author(s):  
Sergey Mikhailovich Afonin
Keyword(s):  
Control Systems ◽  
Transfer Functions ◽  
Piezoelectric Effect ◽  
Block Diagram ◽  
Mechanical Energy ◽  
Electrical Energy ◽  
Linear Ordinary Differential Equation ◽  
Nanoscience And Nanotechnology ◽  
Direct Piezoelectric Effect ◽  
Piezoelectric Effects

The block diagram and the transfer functions of the electromagnetoelastic actuator are received for control systems in nanoscience and nanotechnology. The block diagram of the electromagnetoelastic actuator is reflected the transformation of electrical energy into mechanical energy, in contrast to Cady’s and Mason’s electrical equivalent circuits of piezotransducer. The electromagnetoelasticity equation and the second order linear ordinary differential equation with boundary conditions are solved for calculations the block diagram of the electromagnetoelastic actuator. The block diagram of the piezoactuator is obtained with using the reverse and direct piezoelectric effects. The back electromotive force is determined from the direct piezoelectric effect equation. The transfer functions of the piezoactuators are obtained for control systems in nanoscience and nanotechnology.

scholarly journals МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ЭЛЕКТРОНАГРЕВНОЙ ДВИГАТЕЛЬНОЙ УСТАНОВКИ В ФОРМИРОВАНИИ МИКРОСПУТНИКОВОЙ ГРУППИРОВКИ

2018 ◽  
pp. 45-51
Author(s):  
Андрей Владимирович Погудин
Keyword(s):  
Mathematical Model ◽  
Transfer Functions ◽  
Block Diagram ◽  
Rocket Engine ◽  
Control Unit ◽  
Electric Heating ◽  
Propulsion System ◽  
Working Fluid ◽  
Space Vehicles ◽  
The Mathematical Model

The subject of the study in the article is the mathematical model of the propulsion system. It is built on the basis of the formed transfer functions of the elements. The goal is to rationalize the process of heating the onboard propulsion system on the basis of mathematical model under given constraints. Tasks: formalization of processes in an electric heating engine with a working body ammonia; formalization of the model of the onboard propulsion system; formation of the structural scheme; consideration of physical processes occurring in the nodes of the propulsion system; description of gas and hydraulic processes; the description of thermodynamic and electrokinetic processes; The construction of a mathematical model based on transfer functions. The methods used are: models of transfer functions of a tank, a filter, a steam generator, a receiver and a jet, an engine with their ranges of work. The following results are obtained. A block diagram of the onboard propulsion system was added, supplemented with a control unit and a power supply system. A formalized mathematical model of an onboard propulsion system with working body ammonia is created. From it formed a model consisting of the key elements that make up the onboard propulsion system, which is used when rationalizing the heating of the working fluid. The scientific novelty of the results is as follows. The mathematical model of the electro-heating propulsion system onboard small space vehicles has been further developed through its application to calculate the traction characteristics of the dispenser, which makes it possible to use an ammonia electric heating rocket engine in the formation of a constellation of satellites. The limitations of the operating parameters of the model are introduced. It was proposed to conduct the further workability of the model in Matlab Simulink. Thus, a rational value of the current and voltage parameters will be obtained, at which the time of the system's output to the operating mode will be minimal, and the thrust is maximum for the given operating temperature and pressure ranges

scholarly journals Boiler drum automatic power management system

2020 ◽  
Vol 222 ◽  
pp. 01009
Author(s):  
Tatiana Efremova ◽  
Sergey Shchegolev
Keyword(s):  
Automatic Control ◽  
Transfer Functions ◽  
Dynamic Properties ◽  
Block Diagram ◽  
Control Object ◽  
Feed Water ◽  
Boiler Drum ◽  
Action Models ◽  
Working Out ◽  
Feed Water Temperature

Dynamic properties of boiler sections as control objects are studied. The requirements for mathematical models and the main adjustable parameters in drum boilers are determined, on the basis of which the requirements for the designed model are made. The construction of a block diagram and calculation of transfer functions of the automatic control system of the control object. The main types of disturbances are determined: feed water and steam consumption, consumer load, fuel consumption, and feed water temperature. Each perturbation is represented as a control action. Models of the object using perturbation channels are obtained. The article considers the construction of an effective model of the system of automatic control of the drum boiler power supply based on the system’s working out of disturbing influences. The paper uses the Matlab application software and the Simulink graphical programming environment.

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