AUTOMATIC CONTROL SYSTEM FOR SECOND-ORDER TECHNOLOGICAL PROCESS WITH TIME DELAY BASED ON STATE FEEDBACK CONTROLLER

Abstract

The paper considers the construction of an automatic control system (ACS) for technological objects based on a state feedback controller with an observer continuously estimating the object state coordinates and the low-frequency component of the input disturbance. As an example, the paper considers the process of constructing an ACS for a technological object whose mathematical model can be represented as a serial connection of a second-order aperiodic link and a delay link. The invariant part of the ACS includes a control object and an actuator, the model of which is described by a first-order aperiodic link. The paper describes in detail the proposed procedure for developing the structure and determining the correction coefficients for the motion observer, which allows ensuring an acceptable speed of convergence of the observation process, taking into account the intensity of measurement noise of the object output signal. A comparative analysis of the quality of the developed ACS and an alternative ACS based on the PID-regulator is carried out. The parameters of the state regulator and the PID-regulator are configured in the mode of processing a step response in the absence of input disturbing influences. For configuration, procedures for multiple simulations of transients in MATLAB SIMULINK are used. The comparative analysis of ACS quality is performed according to engineering performance indicators of systems under various combinations of setting and disturbing influences. The results of the analysis show that the system with the state controller provides a significantly higher control quality in all control modes. The conducted studies allow recommending the development and implementation of ACS with an observer and a state regulator to improve the control efficiency of a fairly wide class of real technological objects, which can be described by a second-order aperiodic link with a delay.

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