Solving the Problem of Discrete Process Control Synthesis Using Optimization on a Sliding Interval

Julayeva Z. Wójcik W. Kashaganova G. Togzhanova K. Mambetov S.
2023 Polska Akademia Nauk

International Journal of Electronics and Telecommunications
2023 #69 Issue 2 383 - 389 pp.

—The paper presents a solution to the problem of synthesis of control with respect to the sliding interval length for the optimization of a class of discrete linear multidimensional objects with a quadratic performance criterion. The equation of motion of a closed multidimensional discrete system in the general non-stationary case is derived based on the length of the optimization interval and their main properties. The closed-loop is fitted with a signal representing the predicted values averaged over the whole sliding interval of optimization with a certain weight. A problem with a sliding optimization interval may not require a real-time solution by means of a sequence of solutions on compressed intervals. Therefore, the study of control systems with optimization on a sliding interval is of undoubted interest for a number of practically important control problems.

closed loop control system , equation of a closed loop system , Keywords—discrete process control , optimization , sliding interval

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Academy of logistics and transport, Almaty Technological University, Almaty, Kazakhstan
Lublin University of Technology, Lublin, Poland
Turan University, Satbayev University, Almaty, Kazakhstan
Almaty Technological University, Almaty, Kazakhstan

Academy of logistics and transport
Lublin University of Technology
Turan University
Almaty Technological University

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