Closed-loop Model Validation: Relinearizing Problems to deal with Non-zero Initial States and Improve Approximations
Auger D.J.
2006Abstract
There are several methods for the non-invalidation
of systems under feedback control based on tangential
Caratheodory-Fejer interpolation techniques. These account
for differences between observed behaviour and modelled
behaviour through model uncertainty and exogenous noise.
Methods published to date generally assume a system initially at
equilibrium. This paper proposes a technique for modelling an
initial state using a hypothetical ‘pre-record sequence’. Owing
to the approximations needed to accurately accommodate noise
sequences, it is necessary to linearize problems about some
nominal solution; this paper proposes a least-squares solution
to a zero-uncertainty non-invalidation problem. The application
of this is demonstrated through a numerical example.
A similar technique is proposed for improving approximate
solutions to non-convex model validation problems; this is also
demonstrated using a numerical example.
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BibTex Entry
- @Unpublished{auger2006:_mdl_vldn_relin,
- author = {Auger D.J.},
- title = {Closed-loop Model Validation: Relinearizing Problems to deal with Non-zero Initial States and Improve Approximations},
- bibkey = {auger2006:_mdl_vldn_relin},
- year = {2006}
- }
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