Mathematical Model and Control Design of a Functionally Stable Technological Process

Volodymyr V. Pichkur, Valentyn V. Sobchuk


The paper suggests an approach to modeling of industrial enterprises providing
production according to the set standard with admissible tolerances and requirements. The mathematical model has the form of a discrete control system. We use the properties of generalized inverse matrices to design the control. We present an algorithm of the control of a production process providing release of production. This approach allows to simulate the technological processes (including metallurgical, chemical, energy, etc.) and gives the operating conditions under the constant influence of internal and external destabilizing factors.

Ключові слова

Functional stability; mathematical model of technological process; control design; generalized invertion

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