The Dynamics of Continuous Control Systems with Delay Elements as Part of Correction Filters

Abstract

Matters concerned with the application of correction devices containing delay elements are addressed. Such filters are proposed as an alternative to the high-pass filters and low-pass first-order filters that are widely used in control systems. It is shown that by using filters containing delay elements, the power of high-frequency interference in the controller output signal can be reduced by up to 30% in comparison with the conventional filters. It should be noted that these results are obtained in using the proposed filters in closed-loop continuous systems. Two filter configuration versions used in control applications were analyzed. In the first version, the filters are connected in series in the control loop (as applied to astatic systems with a proportional-differentiating controller in both linear and relay modes of operation). In the second version, a correction filter connected in the local feedback is used (taking a generalized representation of the instrument-assisted position tracking system as an example). The article proposes a fairly simple method for determining the parameters of filters with a delay element that make it possible to use conventional techniques for synthesizing controllers in the frequency domain and estimating their dynamic properties.