On Strict Homogeneous Lyapunov Function ...
Document type :
Communication dans un congrès avec actes
Title :
On Strict Homogeneous Lyapunov Function for Generalized Homogeneous PI Controller
Author(s) :
Zhou, Yu [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Zheng, Gang [Auteur]
Deformable Robots Simulation Team [DEFROST ]
Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Zheng, Gang [Auteur]
Deformable Robots Simulation Team [DEFROST ]
Conference title :
The 60th Conference on Decision and Control
City :
Austin
Country :
Etats-Unis d'Amérique
Start date of the conference :
2021-12-13
HAL domain(s) :
Informatique [cs]/Automatique
English abstract : [en]
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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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