Design of Control System in the Class of Two-Parametric Structurally Stable Mappings

2015 ◽  
Vol 799-800 ◽  
pp. 1137-1141
Author(s):  
Leila Abdrakhmanova ◽  
Mamyrbek Beisenbi
Keyword(s):  
Control System ◽  
Control Systems ◽  
Robust Stability ◽  
Control Object ◽  
Geometric Interpretation ◽  
System Stability ◽  
Wide Range ◽  
Theoretical Fundamental ◽  
Definition Of ◽  
Structurally Stable

In this paper, we proposed a method for design of control systems with a high potential of robust stability in a class of two-parametric structurally stable mappings. Research of robust stability is based on the geometric interpretation of the second Lyapunov method, and also definition of system stability in the state space.We propose a method for construct the control system, designed in two-parametric class of structurally stable mappings, which will be sustained indefinitely in a wide range of uncertain parameters of the control object. This work presents novelty theoretical fundamental results assisting in analyzing of the behavior of control systems, meaning of robust stability.

High-Fidelity Model of Electro-Hydraulic Actuators for Primary Flight Control Systems

2018 ◽  
Author(s):  
Andrea De Martin ◽  
Andrea Dellacasa ◽  
Giovanni Jacazio ◽  
Massimo Sorli
Keyword(s):  
Control System ◽  
Control Systems ◽  
Flight Control ◽  
Weather Condition ◽  
High Fidelity ◽  
Flight Control System ◽  
Hydraulic Actuators ◽  
Wide Range ◽  
Definition Of ◽  
Fidelity Model

Hydraulic actuators are the de facto standard for primary flight control systems, since they provide low jamming probability and intrinsic damping capabilities. Electro-Hydraulic Actuators theoretically provide a number of advantages over the traditional hydraulic systems, such as the decrease in the overall power consumption, easier installation and reduced weight of the flight control system, but are so far mostly used as back-up solutions in civil applications. Flight control actuators can face an extremely wide range of operational scenarios depending on the aircraft route, weather condition, pilot behavior and components health. The use of high-fidelity models is instrumental in the design of both actuators and control laws and can enhance the definition of a Prognostics and Health Monitoring system, given its capability to simulate a huge number of possible in-flight situations. In this paper, we provide the mathematical definition of a novel high-fidelity model for primary flight control system, discuss its implementation and results in nominal and off-nominal conditions.

scholarly journals Synthesis of a robust control system for two-mass electric drive by H∞-theory

2020 ◽  
pp. 44-48
Author(s):  
Є.С. Руднєв ◽  
O.O. Тимофєєва ◽  
Р.М. Брожко
Keyword(s):  
Control System ◽  
Robust Control ◽  
Control Systems ◽  
Electric Drive ◽  
Control Object ◽  
Transient Processes ◽  
Speed Controller ◽  
Wide Range ◽  
Robust Control Systems

The practice of designing and operating control systems for industrial facilities has shown that systems synthesized according to the criteria of modular and symmetric optima, as well as by quadratic quality criteria, are sensitive to changes in the parameters of the controlled object, incoming characteristics, disturbing influences, the structure and parameters of the object model changing, which used in control loops. Such systems can lose optimality as well as productivity, if information about the object and operating environment is known with some probability or uncertainty. For an industrial electric drive, changes in load torque, moment of inertia of rotating parts, supply voltage and environmental characteristics (temperature, vibration) are especially significant. These changes affect both the mechanical characteristics rigidity and the transients’ quality. Robust control systems provide a required quality of work when changing the characteristics of impacts and instability of the control object parameters in a wide range. In the presence of uncertainties, a robust controller provides robust stability and quality for all admissible uncertainties. The synthesis of robust control systems with an H∞-speed controller of a two-mass electric drive by methods of H∞-theory is presented in order to prove the possibility of using algorithms for a given stabilization and speed control, as well as providing the necessary degree of sensitivity to parametric and coordinate disturbances acting on the control object. Application of the method of robust controllers’ synthesis taking into account the requirements for the quality of a controlled coordinate transient processes in the control system. The analysis of the operation of a synthesized robust system with an H∞-speed controller using digital modeling on mathematical models in the MATLAB / Simulink environment is carried out. The possibility of the speed independent control, the steady-state error and the nature of the transient processes of the controlled coordinate in the synthesized electric drive control system is shown.

The Second Lyapunov Function Method in Construction of Control Systems with the Increased Potential of Robust Stability in the Class of Catastrophe “Hyperbolic Umbilic”

2015 ◽  
Vol 799-800 ◽  
pp. 1132-1136 ◽  
Author(s):  
Nurlan Mukataev ◽  
Mamyrbek Beisenbi
Keyword(s):  
Control Systems ◽  
Robust Stability ◽  
Effective Control ◽  
Uncertain Parameters ◽  
Suggested Approach ◽  
New Approach ◽  
Wide Range ◽  
Lyapunov Function Method ◽  
Invariant States ◽  
Current Article

The current article introduces a new method of construction of control systems for objects with uncertain parameters in the form of three-parameter structurally stable mappings from the theory of catastrophe, allowing to synthesize the highly effective control systems, which demonstrate the extremely wide range of robust stability. The research of robust stability of control systems is based on a new approach to post-rhenium of the A.M Lyapunov’s functions. The method of creation of control system with the increased potential of robust stability is stated. It could be concluded that the application of the suggested approach may assure asymptotically stable invariant states for the system in both negative and positive regions of variations of uncertain parameters.

Improved Algorithm for Set Inversion With Application to a Jet Engine Control System

2004 ◽  
Vol 127 (1) ◽  
pp. 163-166
Author(s):  
P. S. V. Nataraj ◽  
A. K. Prakash ◽  
S. Srivastava
Keyword(s):  
Control System ◽  
Robust Stability ◽  
Interval Analysis ◽  
Speed Control ◽  
System Stability ◽  
Engine Control ◽  
Control Loop ◽  
Jet Engine ◽  
Engine Control System ◽  
Parameter Values

We present an algorithm to characterize the set S={x∊Rl:f(x)>0}=f−1(]0,∞[m) in the framework of set inversion using interval analysis. The proposed algorithm improves on the algorithm of Jaulin et al. (Jaulin, L., Kieffer, M., Didrit, O., and Walter, E., 2001, Applied Interval Analysis, Springer, London). The improvements exploit the powerful tool of monotonicity. We test and compare the performance of the proposed algorithm with that of Jaulin et al. in characterizing the domain of robust stability for the speed control loop of a jet engine. The results of testing show that the proposed algorithm encloses S more accurately, meaning that it gives a larger region of compensator parameter values for which the system stability is guaranteed and a smaller region of the same for which the system stability is indeterminate.

scholarly journals Stability and Time Delay Tolerance Analysis Approach for Networked Control Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Ashraf F. Khalil ◽  
Jihong Wang
Keyword(s):  
Control System ◽  
Time Delay ◽  
Control Systems ◽  
Networked Control Systems ◽  
Networked Control System ◽  
Networked Control ◽  
Finite Difference Approximation ◽  
System Stability ◽  
Delay Tolerance ◽  
Maximum Time

Networked control system is a research area where the theory is behind practice. Closing the feedback loop through shared network induces time delay and some of the data could be lost. So the network induced time delay and data loss are inevitable in networked control Systems. The time delay may degrade the performance of control systems or even worse lead to system instability. Once the structure of a networked control system is confirmed, it is essential to identify the maximum time delay allowed for maintaining the system stability which, in turn, is also associated with the process of controller design. Some studies reported methods for estimating the maximum time delay allowed for maintaining system stability; however, most of the reported methods are normally overcomplicated for practical applications. A method based on the finite difference approximation is proposed in this paper for estimating the maximum time delay tolerance, which has a simple structure and is easy to apply.

Analyzing Robust Stability of an Interval Control System on the Basis of Vertex Polynomials

2019 ◽  
Vol 20 (5) ◽  
pp. 266-273 ◽  
Author(s):  
S. A. Gayvoronskiy ◽  
T. A. Ezangina ◽  
I. V. Khozhaev ◽  
A. A. Nesenchuk
Keyword(s):  
Control System ◽  
Control Systems ◽  
Characteristic Polynomial ◽  
Robust Stability ◽  
Root Locus ◽  
Phase Equation ◽  
The Third ◽  
Stability Degree ◽  
Polynomial Coefficients ◽  
Interval Extension

In the paper, a characteristic polynomial of an interval control system, whose coefficients are unknown or may vary within certain ranges of values, is considered. Parametric variations cause migration of interval characteristic polynomial roots within their allocation areas, whose borders determine robust stability degree of the interval control system. To estimate a robust stability degree, a projection of a polytope of interval characteristic polynomial coefficients on a complex plane must be examined. However, in order to find a robust stability degree it is enough to examine some vertices of a coefficient polytope and not the whole polytope. To find these vertices, which fully determine a robust stability degree, it is proposed to use a basic phase equation of a root locus method. Considering the requirements to placing allocation areas of system poles an interval extension of expressions for angles included to the phase equation. The set of statements, allowing to find a sum of pole angles intervals in the case of degree of oscillating robust stability, were formulated and proved. From these statements, a set of double interval angular inequalities was derived. The inequalities determine ranges of angles of all root locus edge branches departure from every pole. Considered research resulted in a procedure of finding coordinates of verifying vertices of a coefficients polytope and vertex polynomials according to these vertices. Such polynomials were found for oscillating robust stability degree analysis of interval control systems of the second, the third and the forth order. Also, similar statements were derived for aperiodical robust stability degree analysis. Numerical examples of vertex analysis of oscillating and aperiodical robust stability degree were provided for interval control systems of the second, the third and the fourth order. Obtained results were proved by examining root allocation areas of interval characteristic polynomials examined in application examples of proposed methods.

scholarly journals Fuzzy control with estimated variable sampling period for non-linear networked control systems: 2-DOF helicopter as case study

2011 ◽  
Vol 34 (7) ◽  
pp. 802-814 ◽  
Author(s):  
PE Méndez-Monroy ◽  
H Benítez-Pérez
Keyword(s):  
Control Systems ◽  
Fuzzy Controller ◽  
Networked Control Systems ◽  
Sampling Period ◽  
Networked Control ◽  
System Stability ◽  
Control Input ◽  
Variable Sampling ◽  
Wide Range ◽  
Non Linear

This paper presents a fuzzy controller for class of non-linear networked control systems; the varying time delays and packet loss are taken as a variable sampling period of the system. The variable sampling period is estimated using a time stamped and probability density function. A fuzzy model smoothly switches to estimate the system state; the antecedent input is the estimated sampling period and the consequent part is formed by linear models discretized with specific sampling periods. The fuzzy controller generates a control input using the estimated states to ensure system stability for a wide range of sampling periods. A two-degree-of-freedom helicopter is used to show the applicability and effectiveness of the controller with robustness to traffic.

scholarly journals TO THE QUESTION OF BUILDING PRECEDENTIAL CONTROL SYSTEMS BASED ON SUPPORT-DISTURBED MOVEMENT

2019 ◽  
pp. 17-24
Author(s):  
Mikhail Yurievich Gudkov ◽  
Alexey Sergeyevich Dobrynin ◽  
Alexander Sergeyevich Koynov
Keyword(s):  
Control System ◽  
Process Control ◽  
Control Systems ◽  
Integrated Management ◽  
Control Object ◽  
Process Control System ◽  
Automated Control ◽  
Quality Of Control ◽  
Communication Devices ◽  
Technological Object

The article considers the problem of the modern automated control systems which operate in the difficult conditions of constantly changing multi-factorial effects of the environment. Such systems should be considered as multi-mode, non-stationary human-technical systems, since they realize the integrated management of a complex technological object. As a rule, these systems are influenced by both environmental factors and complex man-machine mechanisms and technical means (such as communication devices with an object, programmable controllers - PLC), which constitute the control infrastructure, which ultimately leads to additional complexity and errors, additional management problems and reduced overall management quality. The approach to building an automated process control system is claimed to be based on using reference libraries and control algorithms (precedents), which are selected depending on the changing environmental conditions and the assets used, as well as on the logistics support. Despite the use of modern software and hardware in many systems, such as PLC, very often the quality of control leaves much to be desired. This is due to the fact that the control object changes over time for various reasons, and the control algorithm remains unchanged, which leads to a decrease in the efficiency of functioning of such systems. The generalized structure of the precedent process control system is described, which highlights the approach to the control of a technological object within the framework of the well-known concept of support-disturbed movement, which is suitable for building robust control systems for technological objects with substantial nonstationarity.

scholarly journals Research on Design Practice of PLC in Automatic Control System of Electrical Equipment

2020 ◽  
Vol 9 (5) ◽  
pp. 81
Author(s):  
Zhaosen Zhang ◽  
Yan Gao ◽  
Chen Ye
Keyword(s):  
Control System ◽  
Control Systems ◽  
Production Efficiency ◽  
Low Cost ◽  
Electrical Equipment ◽  
Plc Control ◽  
Wide Range ◽  
Automation Equipment ◽  
Automation Control ◽  
Improve Production Efficiency

PLC control system has a very wide range of applications in today’s electrical automation equipment, because it has the characteristics of good stability, strong environmental adaptability, low cost and diversified program editing according to actual needs, making it automatic The efficiency of control has been greatly improved. Based on the current development of electrical equipment automation in China, this paper analyzes the effects and characteristics of PLC used in automation control systems from many aspects. It studies the selection and application of PLC in the operation of electrical equipment, and proposes to improve production efficiency. Some feasible measures.

scholarly journals DEVELOPMENT OF STRUCTURAL SCHEMES AND OPERATION ALGORITHMS FOR THE AUTOMATIC CONTROL SYSTEM OF A MULTIFUNCTIONAL ENERGY COMPLEX

2021 ◽  
Vol 445 (1) ◽  
pp. 82-90
Author(s):  
G. Kalimbetov ◽  
A. Toigozhinovа ◽  
W. Wojcik
Keyword(s):  
Control System ◽  
Automatic Control ◽  
Control Systems ◽  
Dynamic Control ◽  
Control Object ◽  
Control Device ◽  
Automatic Control Systems ◽  
Operating Modes ◽  
Quality Of Control

Among the promising automatic control systems, logical-dynamic control systems that change both the structure and parameters of the control device using switches formed on the basis of a certain logical algorithm have proven themselves well. The use of logical algorithms as part of MACS subsystems for complex technical objects makes it possible to increase the static and dynamic accuracy of control due to purposeful qualitative and quantitative changes in the control signal. This approach will give the control system fundamentally new properties that allow to fully take into account the nature and dynamics of the movement of the control object. When developing existing logical control algorithms, the issues of their application for multi-connected and multifunctional objects control were not considered. Common to existing logical algorithms is that when switching the structure and/or changing parameters, only the dynamics of its own subsystem is taken into account, which is unacceptable in the case of multi-connected dynamic object control, since cross-links have a significant impact on the quality of control. Thus, the problem of synthesis of logical algorithms for multi-connected objects control is an actual theoretical and applied problem. Despite the considerable amount of research conducted in this area, the application of logical algorithms for complex multidimensional objects control is not sufficiently considered, and there is no unified design concept for this type of MACS, taking into account the required quality of functioning in various operating modes. In this regard, there is a need to synthesize algorithms for logical multi-connected control that form control signals in order to coordinate the actions of all separate MACS subsystems in accordance with new external conditions and operating modes. The problem under consideration determined the purpose of this work and the research objectives.

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