Global stability analysis in a class of second-order nonlinear uncertain systems controlled by non-ideal PD controllers
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Published on: November 24, 2021
Mahdi Samadani1, Mohammad Saleh Tavazoei1
1Electrical Engineering Department, Sharif University of Technology, Tehran, Iran.
Abstract:
The practical implementation of proportional-derivative (PD) controllers often involves substituting the derivative term with a first-order filter. However, this substitution can significantly affect the stability and control performance of PD controller-based closed-loop systems. In this paper, we investigate the undesirable implications of employing a non-ideal derivative in the PD controllers on the control of second-order nonlinear uncertain systems by these controllers. We aim to determine the tunable parameters of the non-ideal PD controller such that the global stability of the fixed point in the corresponding control system is guaranteed.
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