Search

The article deals with the synthesis of an optimal digital controller for a stochastic plant. In order to optimize the control system, an integral quality criterion together with minimization of the controlled parameter variance that is offered here, besides the control actions the control objects are taken into account. Using the methods of optimization theory for a single-loop control system, the structure and parameters of the digital regulator are determined. The structure of the digital controller is analysed from the parameters of the quality criterion and the mathematical description of the control object. An example of the synthesis of a digital controller for an automatic control system for the air temperature at the output of the CV-P°2L°N-63B/F-N ceiling conditioner, which showed the efficiency of the digital controller when compensating for random disturbances, is given here. The obtained results are recommended to be used by the specialists on automation for the control system design as well as optimization of the existing ones.

The article discusses an approach that allows you to move from a discrete model of a digital controller to its analog representation, which provides analysis and synthesis of digital systems in the continuous domain, taking into account the quantization period. In the proposed method for the control system, a transition is made from the discrete z-region to the Laplace region. This approach makes it possible to consider the quantization time as an additional parameter of the digital control system settings, evaluate the influence of the selected quantization period not only on the behavior of the set for discrete at the moments of quantization, but also in between, to evaluate the temporal characteristics of the control system at any time. The analog representation of the digital controller enables the calculation of transients using MatLAB. The article provides examples of the synthesis for a digital control system in the frequency domain based on the frequency response characteristic of an open-loop control system taking into account the quantization period. The method can be used by automation specialists to analyze and setting digital control systems

A dynamic model of processes heat-mass exchange for a spray-type humidifier, which is used in artificial microclimate systems, is obtained. Based on the analysis of the equations of material and thermal balances, a dynamic model is obtained, which is presented in the form of a system of differential equations, in the state space, in the form of transfer functions. The dynamic model makes it possible to analyze the properties of transients for the spray-type humidifier along the main channels of influence in the coordinates of temperature and air moisture content. Using the example of an industrial air conditioner VEZA KCKP-80, a numerical simulation of transient processes for a spray-type humidifier was carried out. The obtained dynamic model is an integral part for a complex mathematical description of the industrial air conditioner. An essential advantage of the model in the state space is the possibility of using a vector-matrix mathematical apparatus for the synthesis, research, and optimization of a multidimensional control system.