Technical Stability of Forced Dynamic States in Automatic Control Systems with the Variable Structure

2001 ◽  
Vol 33 (4) ◽  
pp. 15
Author(s):  
Konstantin S. Matviychuk
Keyword(s):  
Automatic Control ◽  
Control Systems ◽  
Variable Structure ◽  
Technical Stability ◽  
Automatic Control Systems ◽  
Dynamic States

SENSITIVITY OF AUTOMATIC CONTROL SYSTEMS WITH VARIABLE STRUCTURE

1966 ◽  
pp. 333-352 ◽  
Author(s):  
B.N. Petrov ◽  
S.V. Emelyanov ◽  
M.A. Bermant ◽  
V.I. Utkin
Keyword(s):  
Automatic Control ◽  
Control Systems ◽  
Variable Structure ◽  
Automatic Control Systems

Sensitivity of automatic control systems with variable structure

1964 ◽  
Vol 1 (3) ◽  
pp. 333-352
Author(s):  
B.N. Petrov ◽  
S.V. Emelyanov ◽  
M.A. Bermant ◽  
V.I. Utkin
Keyword(s):  
Automatic Control ◽  
Control Systems ◽  
Variable Structure ◽  
Automatic Control Systems

scholarly journals A Method for Assessing the Stability of Digital Automatic Control Systems (ACS) with Discrete Elements. Hypothesis and Simulation Results

2020 ◽  
Author(s):  
Vladimir Kodkin ◽  
Alexander Baldenkov ◽  
Alexander Anikin
Keyword(s):  
Automatic Control ◽  
Control Systems ◽  
Variable Structure ◽  
Sampling Interval ◽  
Discrete Elements ◽  
Digital Controllers ◽  
Variable Structure Systems ◽  
New Approach ◽  
Automatic Control Systems ◽  
The Stability

The article presents a new approach to the analysis of the stability of automatic systems with discrete links.In almost all modern automatic control systems, there are links that break signals in time. These are power controlled switches - transistors or thyristors operating in a pulsed mode and digital links in regulators.Time discretization significantly affects the stability of processes in the automatic control system. The theoretical analysis of such systems is rather complicated and requires a significant change in engineering approaches to analysis. In connection with the improvement of digital controllers and a significant increase in their performance, in recent years this problem has practically not been remembered. However, its mathematical "content" has not changed since the 80s of the 20th century, when discreteness began to play a major role among the problems hindering progress in automatic control systems, in terms of the transition to digital systems.In this paper, a new approach is proposed, which consists in interpreting the sampling operation by a link with the proposed frequency characteristic, which determines the suppression of input high-frequency signals. This link greatly simplifies engineering calculations and demonstrates the new capabilities of sampling systems. These possibilities include the rational distribution of digitalization resources - the number of bits and the sampling interval between the regulator channels, depending on the frequency range of the efficiency of these channels. Theoretical statements have been verified and confirmed by simulation. It is shown how this approach makes it possible to formulate new principles of construction of seemingly well-known controllers - PID controllers and variable structure systems (VSS).

scholarly journals A Method for Assessing the Stability of Digital Automatic Control Systems (ACS) with Discrete Elements. Hypothesis and Simulation Results

Energies ◽  
2021 ◽  
Vol 14 (20) ◽  
pp. 6561
Author(s):  
Vladimir Kodkin ◽  
Alexander Baldenkov ◽  
Alexander Anikin
Keyword(s):  
Automatic Control ◽  
Control Systems ◽  
Variable Structure ◽  
Time Discretization ◽  
Discrete Elements ◽  
Digital Controllers ◽  
Variable Structure Systems ◽  
New Approach ◽  
Automatic Control Systems ◽  
The Stability

The article presents a new approach to the analysis of the stability of automatic systems with discrete links. In almost all modern automatic control systems (ACS), there are links that break signals in time. These are power controlled switches—transistors or thyristors operating in a pulsed mode and digital links in regulators. Time discretization significantly affects the stability of processes in the automatic control system. The theoretical analysis of such systems is rather complicated and requires a significant change in engineering approaches to analysis. With the improvement of digital controllers and a significant increase in their performance, this problem has practically been forgotten. However, its mathematical “content” has not changed since the 1980s when discreteness began to play a major role in hindering the transition to digital automatic control systems. In this paper, we propose a new approach that consists of interpreting the sampling operation by a link with the proposed frequency characteristic, which determines the suppression of input high-frequency signals. This link greatly simplifies engineering calculations and demonstrates the new capabilities of sampling systems. These possibilities include the rational distribution of digitalization resources—the number of bits and the sampling interval between the regulator channels, depending on the frequency range of the efficiency of these channels. We verify and confirm our theoretical statements through simulations and show how this approach makes it possible to formulate new principles of construction of seemingly well-known controllers—PID (Proportional Integral Differential) controllers and variable structure systems (VSS).

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