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Conference Papers Year : 2021

On Strict Homogeneous Lyapunov Function for Generalized Homogeneous PI Controller

Yu Zhou
Gang Zheng

Abstract

This paper investigates a generalized homogeneous PI (Proportional-Integral) control for a linear plant. A Lyapunov function for analysis of the closed-loop system is designed. For negative homogeneity degree, the obtained Lyapunov function becomes a strict Lyapunov function allowing an advanced analysis to be provided. In particular, a class of the disturbances to be rejected by the control law is characterized, a maximum control magnitude and the settling-time of the closedloop system are estimated.
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Dates and versions

hal-03349701 , version 1 (20-09-2021)

Identifiers

  • HAL Id : hal-03349701 , version 1

Cite

Yu Zhou, Andrey Polyakov, Gang Zheng. On Strict Homogeneous Lyapunov Function for Generalized Homogeneous PI Controller. The 60th Conference on Decision and Control, Dec 2021, Austin, United States. ⟨hal-03349701⟩
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