TY - GEN
T1 - Stabilization for a semilinear heat equation with switching control
AU - Kang, Wen
AU - Fridman, Emilia
AU - Liu, Chuan Xin
N1 - Publisher Copyright:
© 2021 IEEE.
PY - 2021
Y1 - 2021
N2 - This work discusses sampled-data stabilization by switching for 1-D nonlinear reaction-diffusion equation with spatially scheduled actuators. We suggest that the interval [0,1] is divided into N subdomains. We assume that N sensors are placed in each subdomain and measure the average value of the state in the discrete time. We stabilize the system by switching sampled-data static output-feedback. This switching control law can be implemented either by using one moving actuator that can move to the active subdomain in the negligible time or by N actuators placed in each subdomain. In the latter case switching control may reduce the energy that the system spends. Constructive conditions are derived to ensure that the resulting closed-loop system is exponentially stable by means of the Lyapunov approach. A numerical example shows the efficiency of the method.
AB - This work discusses sampled-data stabilization by switching for 1-D nonlinear reaction-diffusion equation with spatially scheduled actuators. We suggest that the interval [0,1] is divided into N subdomains. We assume that N sensors are placed in each subdomain and measure the average value of the state in the discrete time. We stabilize the system by switching sampled-data static output-feedback. This switching control law can be implemented either by using one moving actuator that can move to the active subdomain in the negligible time or by N actuators placed in each subdomain. In the latter case switching control may reduce the energy that the system spends. Constructive conditions are derived to ensure that the resulting closed-loop system is exponentially stable by means of the Lyapunov approach. A numerical example shows the efficiency of the method.
UR - http://www.scopus.com/inward/record.url?scp=85126004215&partnerID=8YFLogxK
U2 - 10.1109/CDC45484.2021.9683372
DO - 10.1109/CDC45484.2021.9683372
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AN - SCOPUS:85126004215
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 448
EP - 453
BT - 60th IEEE Conference on Decision and Control, CDC 2021
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 60th IEEE Conference on Decision and Control, CDC 2021
Y2 - 13 December 2021 through 17 December 2021
ER -