Work

Null Control of Chafee-infante Equations With Spatially Scheduled Actuators and Sensors

Year: 2025

Type: article

Abstract: This paper addresses a switched sampled-data control design for stabilization of Chafee-Infante reaction-diffusion equation under Dirichlet boundary conditions with spatially scheduled actuators. The interval $[0, L]$ is divided into $N$ subdomains. It is assumed that discrete-time point-like or average measurements are available and $N$ sensors are placed in each subdomain and measure the average value of the state in the discrete time. The system is stabilized by switching sampled-data static output-feedback. A suitable control law for switching sampled-data is given. The proposed switching controller can be implemented either by placing $N$ actuators and sensors in each subdomain or by using an actuator-sensor pair that can move to the active subdomain. Constructive conditions are derived to ensure that the resulting closed-loop system is exponentially stable by means of the Lyapunov approach. Numerical example verifies our results.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240437

Authors: Yuan Qin, Shuai Guo, Guangying Lv

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Government of Jiangsu Province

Award: G6969551958

OpenAlex ID: W4411533719