TY - GEN
T1 - Stability of ODE-PDE hybrid sampled data system
AU - Tewodros, Getnet
AU - Wang, Jun Min
AU - Zhang, Hanwen
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/8
Y1 - 2020/8
N2 - In this paper, we consider state feedback stabilization, where Dirichlet type interconnections constrain the PDE state subject to a Neumann boundary condition at the PDE-ODE interface. We designed a state feedback boundary controller, and by using PDE backstepping the system, through an intermediate system, is transformed to an exponentially stable PDE-ODE cascade with an invertible integral transformation. In light of the ODE connected in series with the PDE, we perform stability analysis of hybrid sampled data PDE-ODE cascade, where the PDE is connected with an ODE through a Zero-Order-Hold (ZOH) sampler.
AB - In this paper, we consider state feedback stabilization, where Dirichlet type interconnections constrain the PDE state subject to a Neumann boundary condition at the PDE-ODE interface. We designed a state feedback boundary controller, and by using PDE backstepping the system, through an intermediate system, is transformed to an exponentially stable PDE-ODE cascade with an invertible integral transformation. In light of the ODE connected in series with the PDE, we perform stability analysis of hybrid sampled data PDE-ODE cascade, where the PDE is connected with an ODE through a Zero-Order-Hold (ZOH) sampler.
KW - Backstepping stability
KW - cascade systems
KW - distributed parameter systems
KW - sample data systems
UR - http://www.scopus.com/inward/record.url?scp=85091578313&partnerID=8YFLogxK
U2 - 10.1109/CCDC49329.2020.9164139
DO - 10.1109/CCDC49329.2020.9164139
M3 - Conference contribution
AN - SCOPUS:85091578313
T3 - Proceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020
SP - 2256
EP - 2261
BT - Proceedings of the 32nd Chinese Control and Decision Conference, CCDC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 32nd Chinese Control and Decision Conference, CCDC 2020
Y2 - 22 August 2020 through 24 August 2020
ER -