Abstract
The article contains presentation of basic provisions of the theory of automatic pulse control systems as well as methods of analysis of such systems using the mathematical software widespread in the academic environment. The pulse systems under research are considered as analogues systems interacting among themselves, including sensors, amplifiers, controlled objects, and discrete parts. To describe such systems, one uses a mathematical apparatus of difference equations as well as discrete transfer functions. To obtain a transfer function of the open-loop system, being important from the point of view of the analysis of control systems, one uses mathematical packages Mathcad and Matlab. Despite identity of the obtained result, the way of its achievement from the point of view of user’s action is various for the specified means. In particular, Matlab uses a structural model of the control system while Mathcad allows only execution of a chain of operator transforms. It is worth noting that distinctions taking place allow considering transformation of signals during interaction of the linear and continuous parts of the control system from different sides. The latter can be used in an educational process for the best assimilation of the course of the control system theory by students.
Highlights
Development of the computer technique and hardware of digital processing of signals which has been observed in recent years led to widespread use of digital microprocessor devices as the part of systems of automatic control of technological processors [1]
Analysis of impulse control systems To research linear PCS [4], one uses usually transfer functions (TF) which are a ratio of operator images of output and input signals of the system
The present work provides a summary of some provisions of control theory and of basic control systems of research methods using mathematical packages Mathcad and Matlab, being necessary and sufficient to solve tasks of the analysis of the simplest single-circuit PCS
Summary
Development of the computer technique and hardware of digital processing of signals which has been observed in recent years led to widespread use of digital microprocessor devices as the part of systems of automatic control of technological processors [1]. Despite the fact that this task is studied in detail and, in general, is solved [7], practical analysis of PCS still represents complexity for students as it requires understanding of transformations taking place in the control circuit as well as application of specialized software [6]. Such application is difficult in the context of work with the mathematical apparatus describing PCS. Results of this work can be used, first of all, in an educational process
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