Abstract
The paper reveals a new method for estimation of stability of oscillations of linear time invariant systems with one time-varying parameter given by a harmonic function. The suggested approach includes building a matrix of transfer functions, which calculates interference of the highfrequency oscillations of the output of the linear time-invariant part of the system. Suggested approach makes possible to build equivalent of the Nyquist criterion for linear systems with a single time-varying parameter. The application of the suggested approach is shown by numerical examples. Results of the present article may be used for control systems of cranes and other lifting mechanisms.
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Mandrik, A.V. Estimation of stability of oscillations of linear time-varying systems with one time-varying parameter with calculation of influence of higher frequency motions. Aut. Control Comp. Sci. 51, 141–148 (2017). https://doi.org/10.3103/S0146411617030075
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DOI: https://doi.org/10.3103/S0146411617030075