D-optimal design for parameter estimation in discrete-time nonlinear dynamic systems
Journal article, Peer reviewed
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Original versionLiu, Y., Karimi, H.R., & Yu, Z. (2012). D-optimal design for parameter estimation in discrete-time nonlinear dynamic systems. Mathematical Problems in Engineering, 2012, 1-13. doi: 10.1155/2012/296701 10.1155/2012/296701
An optimal input design method for parameter estimation in a discrete-time nonlinear system is presented in the paper to improve the observability and identification precision of model parameters. Determinant of the information matrix is used as the criterion function which is generally a nonconvex function about the input signals to be designed. To avoid the locally optimizing problem, a randomized designmethod is proposed bywhich a globally optimizing test plan other than input signals may be obtained. Then the randomized design can be approximated by a nonrandomized design about optimal inputs. An iterative algorithm integrated with dynamic programming is given and verified by a numerical example on experimental design for self- calibration tests of ISP system.
Published version of an article from the journal: Mathematical Problems in Engineering. Also available from the publisher:http://dx.doi.org/10.1155/2012/296701