NULL CONTROL OF CHAFEE-INFANTE EQUATIONS WITH SPATIALLY SCHEDULED ACTUATORS AND SENSORS

Yuan Qin; Shuai Guo; Guangying Lv

doi:10.11948/20240437

2025 Volume 15 Issue 5

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Article navigation > Journal of Applied Analysis & Computation > 2025 > 15(5): 2695-2713

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Yuan Qin, Shuai Guo, Guangying Lv. NULL CONTROL OF CHAFEE-INFANTE EQUATIONS WITH SPATIALLY SCHEDULED ACTUATORS AND SENSORS[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 2695-2713. doi: 10.11948/20240437

Citation:

Yuan Qin, Shuai Guo, Guangying Lv. NULL CONTROL OF CHAFEE-INFANTE EQUATIONS WITH SPATIALLY SCHEDULED ACTUATORS AND SENSORS[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 2695-2713. doi: 10.11948/20240437

NULL CONTROL OF CHAFEE-INFANTE EQUATIONS WITH SPATIALLY SCHEDULED ACTUATORS AND SENSORS

School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

Author Bio: Email: qinyuan@nuist.edu.cn(Y. Qin); Email: guoshuai@nuist.edu.cn(S. Guo)
Corresponding author: Email: gylvmaths@nuist.edu.cn(G. Lv)
Fund Project: The authors were supported by National Natural Science Foundation of China grants 12171247 and Postgraduate Research and Practice Innovation Program of Jiangsu Province (No. KYCX24_1404)

Abstract

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.
- State/output-dependent switching /
- Chafee-Infante reaction-diffusion equation /
- sampled-data control /
- scheduled actuators
MSC: 35K05, 93D15

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References

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