Imperial College London
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Dr Dante Kalise

Faculty of Natural Sciences, Department of Mathematics

Reader in Computational Optimisation and Control
 
 
 
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Contact

 

d.kalise-balza Website CV

 
 
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Location

 

742Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Alla:2023:10.1007/s10444-022-09998-4,
author = {Alla, A and Kalise, D and Simoncini, V},
doi = {10.1007/s10444-022-09998-4},
journal = {Advances in Computational Mathematics},
title = {State-dependent Riccati equation feedback stabilization for nonlinear PDEs},
url = {http://dx.doi.org/10.1007/s10444-022-09998-4},
volume = {49},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The synthesis of suboptimal feedback laws for controlling nonlinear dynamics arising from semi-discretized PDEs is studied. An approach based on the State-dependent Riccati Equation (SDRE) is presented for 2 and ∞ control problems. Depending on the nonlinearity and the dimension of the resulting problem, offline, online, and hybrid offline-online alternatives to the SDRE synthesis are proposed. The hybrid offline-online SDRE method reduces to the sequential solution of Lyapunov equations, effectively enabling the computation of suboptimal feedback controls for two-dimensional PDEs. Numerical tests for the Sine-Gordon, degenerate Zeldovich, and viscous Burgers’ PDEs are presented, providing a thorough experimental assessment of the proposed methodology.
AU  - Alla,A
AU  - Kalise,D
AU  - Simoncini,V
DO  - 10.1007/s10444-022-09998-4
PY  - 2023///
SN  - 1019-7168
TI  - State-dependent Riccati equation feedback stabilization for nonlinear PDEs
T2  - Advances in Computational Mathematics
UR  - http://dx.doi.org/10.1007/s10444-022-09998-4
UR  - http://hdl.handle.net/10044/1/101840
VL  - 49
ER  -
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