TY - GEN
T1 - Sampled-data relay control of semilinear diffusion PDEs
AU - Selivanov, Anton
AU - Fridman, Emilia
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/12/27
Y1 - 2016/12/27
N2 - We consider sampled-data relay control of semilinear diffusion PDEs. Several control signals, subject to unknown bounded disturbances, enter the system through shape functions. The only information required for calculating the control signal is the sign of a weighted average of the state. First, for a nonlinearity from an arbitrary sector, we derive LMI-based conditions that determine how many controllers one should use to ensure local convergence to a bounded set. For a fixed domain of initial conditions the size of a limit set is proportional to a sampling period. Then we propose a switching procedure for controllers' gains that ensures convergence from an arbitrary domain to the same limit set.
AB - We consider sampled-data relay control of semilinear diffusion PDEs. Several control signals, subject to unknown bounded disturbances, enter the system through shape functions. The only information required for calculating the control signal is the sign of a weighted average of the state. First, for a nonlinearity from an arbitrary sector, we derive LMI-based conditions that determine how many controllers one should use to ensure local convergence to a bounded set. For a fixed domain of initial conditions the size of a limit set is proportional to a sampling period. Then we propose a switching procedure for controllers' gains that ensures convergence from an arbitrary domain to the same limit set.
UR - http://www.scopus.com/inward/record.url?scp=85010807437&partnerID=8YFLogxK
U2 - 10.1109/CDC.2016.7799005
DO - 10.1109/CDC.2016.7799005
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AN - SCOPUS:85010807437
T3 - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
SP - 4821
EP - 4826
BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 12 December 2016 through 14 December 2016
ER -