The influence of structure of styrene-butadiene-styrene rubber on the quality characteristics of polymer-modified bitumen – produced on its basis – was identified. A program for a compromise assessment of the preference of such polymers using fuzzy sets was developed. A mathematical model was obtained that is recommended for use to optimize production and reduce costs in the industrial production of polymer-modified bitumen.
To study the mechanisms of complex chemical reactions and determine their kinetic parameters, the article proposes a method for reduction of optimization parameters. Using the proposed method, the parametric identification of a complex chemical reaction is considered: a set of kinetic constants is found that describes the experimental curves of the concentration-time dependence within this reaction model in the best way. The practical application of the method is illustrated by solving problems of parametric identification of complex chemical reactions using Mathcad. The proposed algorithm can be easily implemented using both traditional and free software.
A mathematical method of reduction of optimization parameters is proposed to find the optimal settings of the PID controller. The proposed method is implemented in the Mathcad program, examples of its use for two technical objects are illustrated when a set of controller settings is found to achieve optimal quality of the control process. The first object is a computer model of the process of regulating the liquid level in the tank. The second is a computer model of the temperature control process in the tank using a PID controller. The proposed method and algorithm of the solution can be implemented using both licensed and free software
The article discusses the search for optimal settings of the PID controller using the tools of Simulink package by the example of a technical object. Two methods are analyzed. When using the first method, the automatic selection of the controller parameter is carried out by changing the settings manually. The second one is automatic using the Simulink package according to the program "PID Tuner". The algorithm for determining the PID controller settings using the "PID Controller" block is presented with a detailed illustration on a specific example
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