scholarly journals Algebraic methods in analysis and synthesis of stabilizing feedback compensators in linear multivariable automatic control systems

2012 ◽  
Author(s):  
Χριστίνα Καζαντζίδου

Το αντικείμενο της παρούσας ιδακτορικής ιατριβής είναι η ανάπτυξη καιεξέλιξη μαθηματικών τεχνικών ανάλυσης και σύνθεσης σταθεροποιητικώνελεγκτών ή αντισταθμιστών για γραμμικά και χρονικά αναλλοίωτα πολυμετα-βλητά συστήματα Αυτομάτου Ελέγχου με αλγεβρο-πολυωνυμικές μεθόδους.Τέτοιες μέθοδοι είναι μοντέρνες τεχνικές ανάλυσης και σύνθεσης συστημάτων,σημάτων και βιομηχανικών διαδικασιών που βασίζονται σε μαθηματικά μοντέλαφυσικών συστημάτων και διαδικασιών, τα οποία συνίστανται από συστήματαγραμμικών διαφορικών και αλγεβρικών εξισώσεων ή εξισώσεων διαφορών μεσταθερούς συντελεστές. Οι μαθηματικές τεχνικές ανάλυσης και σύνθεσηςσταθεροποιητικών ελεγκτών τέτοιων συστημάτων προκύπτουν ως συνέπειεςαλγεβρικών ιδιοτήτων μαθηματικών μοντέλων πολυμεταβλητών συστημάτων, ταοποία περιγράφονται με πίνακες ρητών συναρτήσεων, και κάτω απόμετασχηματισμούς που περιγράφουν με αλγεβρικό τρόπο τη διασύνδεσημαθηματικών μοντέλων πολυμεταβλητών συστημάτων μέσω ανάδρασης. Σκοπόςτους είναι ο έλεγχος και η αλλαγή (όποτε αυτή είναι δυνατή) των δομικώνιδιοτήτων συστημάτων, όπως για παράδειγμα της ευστάθειας, της χρονικήςαπόκρισης ή της απόκρισης στο πεδίο των συχνοτήτων, σε αντίστοιχεςεπιθυμητές ιδιότητες για το προκύπτον κλειστό σύστημα.

10.12737/1787 ◽  
2013 ◽  
Vol 3 (3) ◽  
pp. 199-203 ◽  
Author(s):  
Петровский ◽  
Vladislav Petrovskiy ◽  
Щедрин ◽  
Sergey Shchedrin

The article shows the task solution of mass accounting, volume of pneumatically transported chips per time unit by measuring the pressure drop for the pneumatic transport conveying flow after the feeder. This system has been tested at Bratsk FIC and its implementation was based on the calibration of the measurement system, which takes into account the mathematical relationship of chipping flow per unit of time and reducing the pressure of pneumatic transport.


1960 ◽  
Vol 1 (1) ◽  
pp. 1188-1194
Author(s):  
V.V. Solodovnikov ◽  
A.M. Batkov ◽  
V.M. Baburin ◽  
YU. S. Valdenberg ◽  
P.S. Matveev ◽  
...  

2020 ◽  
Vol 2020 (4) ◽  
pp. 145-153
Author(s):  
A Kadirov ◽  

The pulse-frequency control systems are widely used in radar, space industry, for control of technological processes and robots and many other areas. Today, there are various approximate and accurate methods for the analysis and synthesis of pulse-frequency systems (PFS). However, the area of the practical application of the existed methods is mainly limited to single-variable systems. The classical methods provide the consideration of the initial structures of pulse-frequency systems as a whole. This article proposes the decomposition method for modeling and research pulse-frequency automatic control systems. The method is based on the mathematical apparatus of signal-flow graphs. We can use the method for analysis and synthesis of both single-variable and multivariable automatic control systems with pulse-frequency modulation


2019 ◽  
Vol 2019 (1) ◽  
pp. 5-12
Author(s):  
A Kadirov ◽  
◽  
D Kadirova ◽  
A Nazarov

Systems with pulse-width modulation are essentially non-linear automatic control systems. The complexity factors of pulse-width systems include multivariable, the multirate nature of the pulse-width modulators work, and the nonstationarity of control objects. Such systems have been known for a long time and are now widely used. Various exact and approximate methods have been proposed for the analysis and synthesis of PWM systems. The field of the practical application of known methods is limited to single-variable systems because classical approaches provide for the consideration of the initial structures as a whole. Hence, the root cause of the fundamental difficulties arising in the study of such systems.This article proposes a decompositional method for modelling and studying multivariable pulse-width automatic control systems based on the dynamic graph models. One of the key factor when create the one approach for mathematical formulation, analysis and synthesis of discrete dynamic systems is the maximum consideration of general physical special features in terms of these systems. The general fundamental singularity of systems concerned is the natural decomposition (structure discretization) on simple subsystems or structural states of Si . In the multivariable pulse-width systems, the model of each separate or cross channel is a singlevariable impulse system graph. Decomposition into processes in separate and cross channels allows to change the parameters of certain channels and to carry out interval correction of dynamic processes occurring in transmission channels. This method can be used for analysis and synthesis of both single-variable and multivariable systems


2020 ◽  
Vol 176 ◽  
pp. 03007
Author(s):  
Aleksey Brusenkov ◽  
Vasiliy Kapustin ◽  
Vladimir Nemtinov ◽  
Yulia Nemtinova

In recent years, the technical level of agricultural production has increased significantly, successfully introduced new technological techniques, means of mechanization and automation of production in crop and livestock. At the same time, further progress in this direction is impossible without systematically organized work on the development and implementation of modern automatic control systems for various processes. Works in this direction are based primarily on a detailed study of the properties of various objects of agricultural production, as the basis for the analysis and synthesis of effective automatic control systems is mathematical modeling of real processes and devices. Recently, there has been a transition from the modeling of individual devices to the modeling of complex technological schemes, which is largely due to a significant increase in the complexity and dimension of the problems to be solved. Therefore, this approach allows you to set and solve optimal control problems not only for individual devices, but for entire technological complexes, which in turn will provide a significant economic effect and will be widely used in solving many engineering problems.


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