TY - GEN
T1 - ℋ Optimal Estimation for Linear Coupled PDE Systems
AU - Das, Amritam
AU - Shivakumar, Sachin
AU - Weiland, Siep
AU - Peet, Matthew M.
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/12
Y1 - 2019/12
N2 - In this work, we present a Linear Matrix Inequality (LMI) based method to synthesize an optimal ℋ estimator for a large class of linear coupled partial differential equations (PDEs) utilizing only finite dimensional measurements. Our approach extends the newly developed framework for representing and analyzing distributed parameter systems using operators on the space of square integrable functions that are equipped with multipliers and kernels of semi-separable class. We show that by redefining the state, the PDEs can be represented using operators that embed the boundary conditions and input-output relations explicitly. The optimal estimator synthesis problem is formulated as a convex optimization subject to LMIs that require no approximation or discretization.
AB - In this work, we present a Linear Matrix Inequality (LMI) based method to synthesize an optimal ℋ estimator for a large class of linear coupled partial differential equations (PDEs) utilizing only finite dimensional measurements. Our approach extends the newly developed framework for representing and analyzing distributed parameter systems using operators on the space of square integrable functions that are equipped with multipliers and kernels of semi-separable class. We show that by redefining the state, the PDEs can be represented using operators that embed the boundary conditions and input-output relations explicitly. The optimal estimator synthesis problem is formulated as a convex optimization subject to LMIs that require no approximation or discretization.
UR - http://www.scopus.com/inward/record.url?scp=85082477098&partnerID=8YFLogxK
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U2 - 10.1109/CDC40024.2019.9029595
DO - 10.1109/CDC40024.2019.9029595
M3 - Conference contribution
AN - SCOPUS:85082477098
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 262
EP - 267
BT - 2019 IEEE 58th Conference on Decision and Control, CDC 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 58th IEEE Conference on Decision and Control, CDC 2019
Y2 - 11 December 2019 through 13 December 2019
ER -