Extreme Value Condition of Stabilizing Lead/Lag Region

Yu DONG

Abstract


This paper considers the problem of stabilizing linear time-invariant plants by a lead/lag compensator. The extreme value condition of the stablilizing lead/lag region is given. The coordinates of the local extreme value point is obtained. At the local extreme value point, the closed-loop system contains a pair of conjugate imaginary poles and a pole at the origin. If the zero gain is fixed, the stability region in the plane with respect to the proportional gain and the pole gain is determined by plotting the stability boundary locus. The effectiveness of the method presented is illustrated a numerical example.

Keywords


Lead/lag Control, Stabilization, Stability Boundary.


DOI
10.12783/dtcse/ica2019/30758

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