The problem of synthesizing adaptive control systems for continuous technological objects is an urgent scientific problem, the solution of which has the great theoretical and applied significance. This article covers the formalization of the problem of synthesizing adaptive control of complex objects based on reference models. The direct approach is connected with the use of a standard, under which the running of the entire system or its part is adjusted. The correction is performed based on minimizing the quality functional from the mismatch between the standard and the real system, as well as the ways of constructing regulators based on the concepts of the theory of direct adaptive systems are considered.

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Methods and algorithms of the sustainable synthesis of adaptive control systems for the technological process of formalin production have been proposed in this article. Parameters of the regulator are estimated in the developed adaptive control system, i.e. the purpose of adaptation is reduced to the estimation of coefficients of the regulator providing the specified behavior of the system. The results obtained and the analysis of transition processes based on the modeling of the control system showed that with adaptive control, mass fractions of formaldehyde and methanol in formalin are held within 36.5÷37.5% and 0.7÷0.9% respectively, while the specific consumption of the methanol decreases by 3÷4%, which allows the process in mode close to the optimal.

This article describes the synthesis technique of static and recurrent algorithms for adaptive parametric and structurally optimized controllers for systems with a reference model. As models, systems are used that are described in the form of a state space, transfer functions, and vector difference equations. And also considered the task of developing adaptive-interval algorithms for the synthesis of control systems for technological objects.

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