TY - GEN
T1 - Optimal state feedback boundary control of parabolic PDEs using SOS polynomials
AU - Gahlawat, Aditya
AU - Peet, Matthew
N1 - Publisher Copyright:
© 2016 American Automatic Control Council (AACC).
PY - 2016/7/28
Y1 - 2016/7/28
N2 - We synthesize L(L2)-optimal full-state feedback controllers for a one dimensional linear PDE with point actuation and distributed disturbances. We use Sum-of-Squares (SOS) polynomials and Semi-Definite Programming (SDP) to parametrize positive operators which define quadratic Lyapunov functions and the controller gains. Additionally, we calculate the upper bound on the system state ensured by the calculated controllers. Moreover, we provide numerical results, but not proofs, for PDEs with additional types of boundary conditions.
AB - We synthesize L(L2)-optimal full-state feedback controllers for a one dimensional linear PDE with point actuation and distributed disturbances. We use Sum-of-Squares (SOS) polynomials and Semi-Definite Programming (SDP) to parametrize positive operators which define quadratic Lyapunov functions and the controller gains. Additionally, we calculate the upper bound on the system state ensured by the calculated controllers. Moreover, we provide numerical results, but not proofs, for PDEs with additional types of boundary conditions.
UR - http://www.scopus.com/inward/record.url?scp=84992092918&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84992092918&partnerID=8YFLogxK
U2 - 10.1109/ACC.2016.7525606
DO - 10.1109/ACC.2016.7525606
M3 - Conference contribution
AN - SCOPUS:84992092918
T3 - Proceedings of the American Control Conference
SP - 4350
EP - 4355
BT - 2016 American Control Conference, ACC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 American Control Conference, ACC 2016
Y2 - 6 July 2016 through 8 July 2016
ER -