# Dynamic Model Heat-Mass Exchange for the Water Cooler of the Industrial Air Conditioner

Mathematical modelling of processes heat-mass exchange for a water cooler, which is used in systems of an artificial microclimate for cooling and air unwatering, is observed. Based on the equations of material and thermal balance two equivalent models allowing to spend modelling of transients in a cooler on the basic channels of regulating and perturbation are gained. Sampling of dynamic model is defined by methods of a control system synthesis of the industrial air conditioner.

# Optimization of digital Control System from PI-D and I-pd controller

This article considers optimization algorithm of a digital control system from PI-D and I-PD controller on integrated quality criteria. Numerical methods, methods of dynamic optimization systems and digital control theory are used to construct the algorithm. The algorithm proposed allows conducting parametric synthesis of digital modifications of the proportional-integral-derivative (PID) control on integrated quality criteria of merit without the approximation stage of the plant dynamic properties.

# Synthesis of Control System on Integrated Quality criteria

The optimization algorithm of a digital control system on integrated quality criteria is considered. The offered algorithm allows to build parametrical synthesis of a digital proportional-integral-derivative control on integrated quality criteria. The integrated quality criteria of interrelation with character of transients in a control system is numerically investigated. Dependence of quality transients on the influence channel is shown. The examples realization offered algorithm are considered at modeling of transients in a control system.

# Determination of the Object Dynamic Characteristics Based on Control System Dynamics

In this paper, we consider the algorithm for calculating the object dynamic characteristics in the automatic control system. Specifically, the algorithm allows obtaining numerically pulse and transitive characteristics of the process relying on the reaction of a control system on the task change. The algorithm of this problem solving can be numerically applied by employing the Duhamel integral. Moreover, we consider the sample of this algorithm program implementation when modeling transients in the control system.

# Analysis of the hybrid Control System using the pulse characteristic of the Plant

The study provides an insight into a calculation method of transient processes in the hybrid control system by a pulse characteristic of the plant. This approach allows excluding a stage of approximation in calculations of the control system as well as reducing a simulation error due to subjective choice of the structure of approximation dependence. The method can be used by experts on automation for analyzing and tuning of continuous and digital control systems