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On Strict Homogeneous Lyapunov Function for Generalized Homogeneous PI Controller

Yu Zhou 1 Andrey Polyakov 1 Gang Zheng 2 
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 DEFROST - Deformable Robots Simulation Team
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
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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Conference papers
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https://hal.inria.fr/hal-03349701
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Monday, September 20, 2021 - 4:31:49 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM
Long-term archiving on: : Tuesday, December 21, 2021 - 7:14:30 PM

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  • HAL Id : hal-03349701, version 1

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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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