Mathematical description of continual linear and nonlinear systems. Determining the quality of control in stationary and transition regime. Analysis of the stability of the system using analytical methods. Choice and tuning of parameters of industrial regulators: PID regulator. Direct digital control, Z-transformation. Concept of digital system state. Analysis of digital systems. Stability of digital system. Design of digital control systems: regulators, PID regulators, servo regulators, cancelling of system dynamics, regulators in space state. Implementation of digital control algorithms. Part of the course is based on the independent study and research work in the field of automatic control. Study and research work is based on the primary scientific sources, organization and conduction of experiments as well as statistical analysis of data, numerical simulations, and writing a paper on the narrow scientific area in which doctoral dissertation is based.