2009arXiv (Cornell University)Open access

The Analytical Solution of the Lag-Lead Compensator

Li Li, Zhengpeng Wu

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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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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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Available 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.

Key concepts: Lead–lag compensator, Lag, Lead (geology), Control theory (sociology), Environmental science, Econometrics, Economics, Computer science

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