This title appears in the Scientific Report :
2016
Please use the identifier:
http://dx.doi.org/10.1137/15M1014759 in citations.
Optimal Control and Observation Locations for Time-Varying Systems on a Finite-Time Horizon
Optimal Control and Observation Locations for Time-Varying Systems on a Finite-Time Horizon
The choice of the location of controllers and observations is of great importance for designing control systems and improving the estimations in various practical problems. For time-varying systems in Hilbert spaces, the existence and convergence of the optimal locations based on the linear-quadrati...
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Personal Name(s): | Wu, Xueran (Corresponding author) |
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Jacob, Birgit / Elbern, Hendrik | |
Contributing Institute: |
Troposphäre; IEK-8 |
Published in: | SIAM journal on control and optimization, 54 (2016) 1, S. 291 - 316 |
Imprint: |
Philadelphia, Pa.
Soc.
2016
|
DOI: |
10.1137/15M1014759 |
Document Type: |
Journal Article |
Research Program: |
Helmholtz Interdisciplinary Doctoral Training in Energy and Climate Research (HITEC) Tropospheric trace substances and their transformation processes |
Publikationsportal JuSER |
The choice of the location of controllers and observations is of great importance for designing control systems and improving the estimations in various practical problems. For time-varying systems in Hilbert spaces, the existence and convergence of the optimal locations based on the linear-quadratic control on a finite-time horizon is studied. The optimal location of observations for improving the estimation of the state at the final time, based on the Kalman filter, is considered as the dual problem to the linear-quadratic optimal problem of the control locations. Further, the existence and convergence of optimal locations of observations for improving the estimation of the initial state, based on the Kalman smoother, is discussed. The obtained results are applied to a linear advection-diffusion model with a special extension of emission rates.Read More: http://epubs.siam.org/doi/10.1137/15M1014759 |