Abstract
A method for designing a model of PID controllers for high-order systems based on the modal method for linear systems is proposed taking into account the assignment of the roots of the characteristic polynomial of the corrected automatic feedback control system. From the stability condition of the system, the coefficients of the characteristic polynomial must be positive. It is provided to set the test conditions of the positive values of the coefficients of the PID regulators. The calculation of the controller parameters is performed according to transition characteristics of the system. Functionality test of method has provided by the example of synthesis of PID controllers parameters of the control system of third order object.
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Prokopev, A., Nabizhanov, Z., Ivanchura, V., Emelyanov, R. (2020). Parametric Synthesis Method of PID Controllers for High-Order Control Systems. In: Kravets, A., Bolshakov, A., Shcherbakov, M. (eds) Cyber-Physical Systems: Industry 4.0 Challenges. Studies in Systems, Decision and Control, vol 260. Springer, Cham. https://doi.org/10.1007/978-3-030-32648-7_8
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