Skip to Main content Skip to Navigation
New interface
Journal articles

Output error minimizing back and forth nudging method for initial state recovery

Atte Aalto 1 
1 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine
LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France
Abstract : We show that for linear dynamical systems with skew-adjoint generators, the initial state estimate given by the back and forth nudging method with colocated feedback, converges to the minimizer of the discrepancy between the measured and simulated outputs — given that the observer gains are chosen suitably and the system is exactly observable. If the system's generator A is essentially skew-adjoint and dissipative (with not too much dissipation), the colocated feedback has to be corrected by the operator e^{At}e^{A*t} in order to obtain such convergence. In some special cases, a feasible approximation for this operator can be found analytically. The case with wave equation with constant dissipation will be demonstrated.
Document type :
Journal articles
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download
Contributor : Atte Aalto Connect in order to contact the contributor
Submitted on : Tuesday, June 28, 2016 - 3:01:40 PM
Last modification on : Tuesday, October 25, 2022 - 4:19:23 PM
Long-term archiving on: : Thursday, September 29, 2016 - 12:18:25 PM


Files produced by the author(s)



Atte Aalto. Output error minimizing back and forth nudging method for initial state recovery. Systems and Control Letters, 2016, 94, pp.111-117. ⟨10.1016/j.sysconle.2016.06.002⟩. ⟨hal-01216075v2⟩



Record views


Files downloads