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Stability Analysis of Metal-Cutting Control System by the Mikhailov Criterion

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Russian Engineering Research Aims and scope

Abstract

Dynamic models of metal cutting using machine tools include a delayed argument, which prevents the use of algebraic stability criteria, such as the square-root, Hurwitz, and Routh criteria. However, the Nyquist and Mikhailov frequency criteria are applicable. A method is developed for the analysis of systems of differential equations using the Mikhailov frequency criterion. Experiments are conducted in Matlab software, which permits direct simulation and also stability analysis by means of the Mikhailov frequency criterion. The results show that the proposed approach to stability analysis may be widely employed to assess control systems for metal cutting using machine tools.

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Authors and Affiliations

  1. Don State Technical University, Rostov-on-Don, Russia

    V. P. Lapshin & I. A. Turkin

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  1. V. P. Lapshin
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  2. I. A. Turkin
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Correspondence to V. P. Lapshin or I. A. Turkin.

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Translated by B. Gilbert

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Lapshin, V.P., Turkin, I.A. Stability Analysis of Metal-Cutting Control System by the Mikhailov Criterion. Russ. Engin. Res. 43, 305–311 (2023). https://doi.org/10.3103/S1068798X23040184

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  • DOI: https://doi.org/10.3103/S1068798X23040184

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