The Analytical Solution of the Lag-Lead Compensator
Li Li, Zhengpeng Wu
TL;DR
This paper provides an analytical solution for designing lag-lead compensators and explains why more complex compensators cannot be solved analytically due to Galois Theory limitations.
Contribution
It introduces an analytical approach to lag-lead compensator design and clarifies the mathematical constraints on solving complex compensators.
Findings
Analytical solution for general lag-lead compensator design.
Limitations of solving more than five phase-lead/phase-lag compensators analytically.
Application of Galois Theory to control system design constraints.
Abstract
In this paper, we first give the analytical solution of the general lag-lead compensator design problem. Then, we show why a series of more than 5 phase-lead/phase-lag compensator cannot be solved analytically using the Galois Theory.
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Taxonomy
TopicsAnalog and Mixed-Signal Circuit Design · Digital Filter Design and Implementation · Power Quality and Harmonics