Semi-global stabilization of parabolic PDE–ODE systems with input saturation

Xu，Xiang1; Li，Bin2

2025

10.1016/j.automatica.2024.111931

Automatica   影响因子和分区

0005-1098

This paper addresses the semi-global stabilization problem of parabolic PDE–ODE systems with input saturation. Two low-gain controllers are proposed for two types of systems. It is shown that the proposed controllers can solve the semi-global stabilization problem of the concerned parabolic PDE–ODE systems with input saturation. Distributed-diffusion, counter-convection and Robin boundary condition are simultaneously considered. Moreover, the controllability of PDE–ODE systems with input saturation is discussed. It is shown that semi-global stabilization is impossible if the open-loop ODE system is exponentially unstable, which is another distinctive contribution of this work. Two illustrative examples are given to show the effectiveness of our proposed low-gain controllers.

Distributed diffusion Input saturation Low gain design PDE–ODE systems

英语

第一

2-s2.0-85205030158

Scopus

1.Shenzhen Key Laboratory of Control Theory and Intelligent Systems,Southern University of Science and Technology,Shenzhen,518055,China
2.School of Aeronautics and Astronautics,Sichuan University,Chengdu,China

Xu，Xiang,Li，Bin. Semi-global stabilization of parabolic PDE–ODE systems with input saturation[J]. Automatica,2025,171.

Xu，Xiang,&Li，Bin.(2025).Semi-global stabilization of parabolic PDE–ODE systems with input saturation.Automatica,171.

Xu，Xiang,et al."Semi-global stabilization of parabolic PDE–ODE systems with input saturation".Automatica 171(2025).