Input design for Bayesian identification of non-linear state-space models
Abstract
We propose an algorithm for designing optimal inputs for on-line Bayesian identification of stochastic non-linear state-space models. The proposed method relies on minimization of the posterior Cram\'er Rao lower bound derived for the model parameters, with respect to the input sequence. To render the optimization problem computationally tractable, the inputs are parametrized as a multi-dimensional Markov chain in the input space. The proposed approach is illustrated through a simulation example.
Cite
@article{arxiv.1307.6258,
title = {Input design for Bayesian identification of non-linear state-space models},
author = {Aditya Tulsyan and Swanand R. Khare and Biao Huang and R. Bhushan Gopaluni and J. Fraser Forbes},
journal= {arXiv preprint arXiv:1307.6258},
year = {2013}
}
Comments
This article has been published in: Tulsyan, A, S.R. Khare, B. Huang, R.B. Gopaluni and J.F. Forbes (2013). Bayesian identification of non-linear state-space models: Part I- Input design. In: Proceedings of the 10th IFAC International Symposium on Dynamics and Control of Process Systems. Mumbai, India