scholarly journals Investigation of the Robust Absolute Stability of the Tunnel Kiln Control System with Delay

2021 ◽  
Vol 20 ◽  
pp. 25-30
Author(s):  
N. A., Tseligorov ◽  
A. V., Chubukin ◽  
E. N. Tseligorova
Keyword(s):  
Control System ◽  
Transfer Function ◽  
Automatic Control ◽  
Tunnel Kiln ◽  
Absolute Stability ◽  
Graphical Method ◽  
Parametric Uncertainty ◽  
Transition Process ◽  
Kiln Temperature ◽  
Interval Coefficients

The paper considers the system of automatic control of the tunnel kiln temperature conditions. The investigation of a delay influence on the transition process has been carried on. The transfer function of the object under control with interval coefficients taking into account possible effects of the parametric uncertainty has been obtained. A graphical method of representing the obtained results in the form of displaying the modified amplitude-phase characteristics on a complex plane has been applied which obviously demonstrates a robust absolute stability of the system under investigation. The simulation performed in the Matlab environment has proved the correctness of the results obtained.

scholarly journals Synthesis of the transfer function of the voltage controller in an active filter-stabilizer converter

2021 ◽  
Vol 2 (2 (110)) ◽  
pp. 71-77
Author(s):  
Yakiv Shcherbak ◽  
Yurii Semenenko ◽  
Olexandr Semenenko ◽  
Nadiia Karpenko ◽  
Olexandr Suprun ◽  
...  
Keyword(s):  
Control System ◽  
Transfer Function ◽  
Automatic Control ◽  
Automatic Control System ◽  
Transition Process ◽  
Active Filter ◽  
Active Filters ◽  
Voltage Converter ◽  
Finite Duration ◽  
Voltage Controller

It has been established that in order to ensure effective filtration and stabilization of the voltage of DC traction substations, it is advisable to use active filters-stabilizers. The dynamic characteristics of an active filter-stabilizer have been analyzed taking into consideration its discrete properties. It has been shown that the voltage converter in an active filter-stabilizer with bilateral pulse-width modulation for small values of control signal increment is an amplitude-pulse modulator of the second kind. In order to improve the efficiency of using an active filter-stabilizer, which is part of the DC traction substation converter, the task was set to synthesize the transfer function of its converter's voltage controller. When analyzing a closed automatic control system, it was established that the transfer function of the voltage controller, which ensures the implementation of processes of finite duration in the closed automatic control system, includes a proportional part, an integral part, and a differential part. To determine the time constants for the transfer function of the PID-controller, as well as its damping coefficient, a closed automatic control system of the active filter-stabilizer voltage converter was investigated using an apparatus of Z-transformation. The result of synthesizing the transfer function of the voltage controller has established the parameters for the controller's transfer function, which ensure that the process of finite duration is executed in a closed system of automatic control over the converter's output voltage. The transition process in the system with a stepwise input effect of the processes of finite duration has been calculated, which confirmed that the transition process in the system ends after three clock intervals of discreteness. Establishing a transition process that ends over the finite number of discrete intervals, which is determined by the order of the characteristic equation, means that the process has been optimized for performance

Sensitivity of automatic control of emergency manoeuvre to parametric uncertainty of the airplane model

2019 ◽  
Vol 91 (3) ◽  
pp. 407-419
Author(s):  
Jerzy Graffstein ◽  
Piotr Maslowski
Keyword(s):  
Control System ◽  
Automatic Control ◽  
Flight Control ◽  
Parametric Uncertainty ◽  
Second Phase ◽  
Flight Control System ◽  
Content Type ◽  
Control Quality ◽  
Wide Range ◽  
The Impact

Purpose The main purpose of this work was elaboration and verification of a method of assessing the sensitivity of automatic control laws to parametric uncertainty of an airplane’s mathematical model. The linear quadratic regulator (LQR) methodology was used as an example design procedure for the automatic control of an emergency manoeuvre. Such a manoeuvre is assumed to be pre-designed for the selected airplane. Design/methodology/approach The presented method of investigating the control systems’ sensitivity comprises two main phases. The first one consists in computation of the largest variations of gain factors, defined as differences between their nominal values (defined for the assumed model) and the values obtained for the assumed range of parametric uncertainty. The second phase focuses on investigating the impact of the variations of these factors on the behaviour of automatic control in the manoeuvre considered. Findings The results obtained allow for a robustness assessment of automatic control based on an LQR design. Similar procedures can be used to assess in automatic control arrived at through varying design methods (including methods other than LQR) used to control various manoeuvres in a wide range of flight conditions. Practical implications It is expected that the presented methodology will contribute to improvement of automatic flight control quality. Moreover, such methods should reduce the costs of the mathematical nonlinear model of an airplane through determining the necessary accuracy of the model identification process, needed for assuring the assumed control quality. Originality/value The presented method allows for the investigation of the impact of the parametric uncertainty of the airplane’s model on the variations of the gain-factors of an automatic flight control system. This also allows for the observation of the effects of such variations on the course of the selected manoeuvre or phase of flight. This might be a useful tool for the design of crucial elements of an automatic flight control system.

Parametric Synthesis of a Robust Controller Based on the Method of Dominant Poles

2020 ◽  
Vol 21 (1) ◽  
pp. 14-20
Author(s):  
S. A. Gayvoronskiy ◽  
T. A. Ezangina ◽  
I. V. Khozhaev
Keyword(s):  
Control System ◽  
Complex Plane ◽  
Parametric Uncertainty ◽  
Complex Conjugate ◽  
Phase Equation ◽  
Stability Degree ◽  
Right Border ◽  
Interval Extension ◽  
Coeffi Cients ◽  
Interval Coefficients

In the paper a linear control system described by its characteristic polynomial with interval coefficients including parameters of controller linearly is considered. Problem of the research is finding parameters of a controller guaranteeing dynamic characteristics of a system despite interval parametric uncertainty of its object. It is proposed to base a controller synthesis on root quality indices: minimal stability degree and maximal oscillability degree. Desired values of these indices will be provided with the help of dominant poles method. Applying this method consists in placing a pair of complex-conjugate dominant poles; all other poles — unrestricted poles — will be placed by defining a right border of their allocation area on a complex plane. To apply dominant poles method, a feature of stability degree and oscillability degree to be determined by images of certain vertices of a parametric polytope was used. To synthesize a controller, it is proposed to divide its parameters in two groups: dependent ones and unrestricted ones. The first group of controller parameters is to provide desired allocation of dominant poles in one of vertices of parametric polytope (a dominant vertex). Unrestricted parameters of a controller are to provide desired distance between dominant poles and allocation area of unrestricted poles. To find coordinates of a dominant vertex and verifying vertices providing unrestricted poles allocation, an interval extension of basic phase equation of a root locus theory was developed. This resulted in interval phase inequalities, whose solution allows finding coordinates of desired vertices of characteristic polynomials coeffi cients polytope. Knowing a dominant vertex polynomial and dominant poles allows expressing dependent parameters of a controller from unrestricted ones. Obtained expressions allow placing unrestricted poles in a desired area of a complex plane. To do this, a D-partition by unrestricted parameters of a controller is performed in all verifying vertices of parametric polytope of a system. After choosing values of unrestricted parameters from intersection of all stability domains obtain during D-partition, dependent parameters of a controller can be calculated. An example of synthesizing a PID-controller guaranteeing desired values of dynamics characteristics for an interval control system of the fourth order is provided.

The model of the servo piston of the fuel metering unit using matrix approach and neural network

2018 ◽  
Vol 13 (4) ◽  
pp. 107-111
Author(s):  
E.V. Denisova ◽  
M.A. Chernikova
Keyword(s):  
Neural Network ◽  
Control System ◽  
Automatic Control ◽  
Automatic Control System ◽  
Parametric Uncertainty ◽  
Matrix Approach ◽  
Turbine Engine ◽  
Quality Of Control ◽  
Sufficient Degree ◽  
Natural Stands

In the paper, the model of a servo piston of a fuel metering unit based on a matrix approach using neural networks is considered. To develop the model of a servo piston, the dependence of the initial piston deviation on the control signal for different values of the nozzles is used. This dependence is represented in the form of a matrix and is used in the neural network. This approach allows describing the movement of the servo piston with a sufficient degree of accuracy. As a record of change squares adjustment of the nozzles is a source of parametric uncertainty in the operation of the automatic control system can lead to a drop in the quality of control, such accounting is relevant. The model of the servo piston is proposed to be used in the structure of the automatic control system for a gas turbine engine and for semi-natural stands.

scholarly journals Synthesis of the cascade control system of the thermal regime of a technological object by the methods of synergetic control theory

Vestnik IGEU ◽  
2019 ◽  
pp. 41-48
Author(s):  
A.N. Labutin ◽  
V.Yu. Nevinitsyn ◽  
G.V. Volkova ◽  
A.V. Panasenkova ◽  
V.A. Zaytsev
Keyword(s):  
Control System ◽  
Control Theory ◽  
Automatic Control ◽  
Thermal Regime ◽  
Parametric Uncertainty ◽  
Chemical Reactor ◽  
Synergetic Control Theory ◽  
Technological Object ◽  
Synergetic Control ◽  
Algorithmic Structure

The paper considers technological control objects whose physical properties, state of aggregation and composition are changed by hydromechanical, physical and chemical effects on the flows of initial substances. The main feature of such objects is their multi-dimensionality, nonlinearity, multiconnectivity, and parametric uncertainty of the mathematical model at the design stage. One of such objects is the chemical reactor with the thermal regime predominantly controlled by single-loop or cascade automatic control systems based on linear algorithms. The main disadvantage of such systems is the problem of maintaining robustness, i.e. stability and control quality under the action of parametric disturbances. In our opinion, the method of analytical design of aggregated regulators (ADAR), developed within the framework of the synergetic control theory, is promising in this sense. The research uses methods of system analysis of technological processes as control objects, methods of the automatic control theory and analytical synthesis of control algorithms based on the synergetic control theory and computer simulation methods. Using the ADAR method, we have solved the problem of algorithmic synthesis of the cascade-coupled control system of the thermal regime of a technological object (chemical reactor) in the nonlinear formulation applying a nonlinear mathematical model of the object. Computer simulation methods have proved the functionality of the «object – control subsystem» complex: system stability, covariance with the set point. It is shown that in the systems controlling thermal processes of the considered type, the heat transfer coefficient parametric uncertainty can lead to an excessive value of the static error, which means that the algorithmic structure of the automatic control system has to be improved. To ensure full robustness of the automatic control system, it is recommended to make the system’s algorithmic structure more complex by introducing an astatic component into the control law and correcting the algorithm tuning parameters.

scholarly journals SYNTHESIS OF THE REGULATOR FOR ROBOT’S ARM SERVING BY POLES METHOD PLACEMENT USING

2020 ◽  
pp. 181-189
Author(s):  
Markiyan Nakonechnyi ◽  
Orest Ivakhiv ◽  
Oleksandr Viter
Keyword(s):  
Control System ◽  
Transfer Function ◽  
Characteristic Equation ◽  
Closed System ◽  
Output Signal ◽  
Block Diagram ◽  
Transition Process ◽  
Robot Arm ◽  
State Variables ◽  
Servo Drive

This paper presents the synthesis of a controller for robot arm servo drive by placing the poles of the transfer function. The problem of synthesis is determined, based on the desired duration of the transition process, the desired location of the roots of the characteristic equation of closed system and space state variables regulator factors are found that provide the desired system performance. There was used Ackerman’s formula for the synthesis of regulator that allows for the placement of all poles of the transfer function of a closed system at given points of the plane of the roots of the characteristic equation. Synthesis by placing poles is based on the use of model automatic control system state variables in space. As well as there is synthesized block diagram of the controller for robot arm servo drive and both held it modeling in MATLAB and moved it in Simulink environment. Due to the stated values of transition time and output signal displacement that provide the allowed divergence between output signal and sample, proposed control system works in automatic mode.

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