Identification and Subspace Methods

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Author Index
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S T U V W X Y Z

Particle Filters For Recursive Model Selection In Linear And Nonlinear System Identification

Authors:

Visakan Kadirkamanathan, Mohamed H. Jaward, Simon G. Fabri, Maha Kadirkamanathan,

Volume: 1, Page 2391 Paper number 2158

Abstract:

Recursive model selection can be addressed within the Bayesian framework, the multiple model algorithm being one such approach for linear Gaussian systems. The recent advances in nonlinear non-Gaussian estimation with the sequential Monte Carlo algorithms such as the particle filter allow the application of Bayesian inference to the development of recursive model selection algorithms for general nonlinear non-Gaussian systems. Such an algorithm is developed in this paper and applied to a linear auto-regressive (AR) and nonlinear auto-regressive (NAR) systems.

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Blockwise Subspace Identification for Active Noise Control

Authors:

Rufus Fraanje, Michel Verhaegen, Niek J. Doelman,

Volume: 1, Page 2397 Paper number 1600

Abstract:

In this paper, a subspace identification solution is provided for Active Noise Control (ANC) problems. The solution is related to so-called block updating methods, where instead of updating the (feedforward) controller on a sample by sample base, it is updated each time based on a block of N samples. The use of the subspace identification based ANC methods enables non-iterative derivation and updating of MIMO compact state space models for the controller. The robustness property of subspace identification methods forms the basis of an accurate model updating mechanism, using small size data batches. The design of a feedforward controller via the proposed approach is illustrated for an acoustic duct benchmark problem, supplied by TNO Institute of Applied Physics (TNO-TPD), the Netherlands. We also show how to cope with intrinsic feedback. A comparison study with various ANC schemes, such as block Filtered-U demonstrates the increased robustness of a subspace derived controller.

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On Data Preprocessing for Subspace Methods

Authors:

Dietmar Bauer,

Volume: 1, Page 2403 Paper number 9204

Abstract:

In modern data analysis often the first step is to perform some data preprocessing, e.g. detrending or elimination of periodic components of known period length. This is normally done using least squares regression. Only afterwards black box models are estimated using either pseudo-maximum-likelihood methods, prediction error methods or subspace algorithms. In this paper it is shown, that for subspace methods this is essentially the same as including the corresponding input variables, e.g. a constant or a trend or a periodic component, as additional input variables. Here essentially means, that the estimates only differ through the choice of initial values.

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A Comparative Study On Subband Identification

Authors:

Damian Marelli, Minyue Fu,

Volume: 1, Page 2409 Paper number 2024

Abstract:

This paper reports some new study on the subband identification approach. We first provide a complete characterization for the subbands to be decoupled in the sense that different subband channels are statistically independent and the subband model is diagonal. We then apply this result to studying the performance of subband identification schemes based on recursive least-squares algorithms. We provide expressions for the computational cost, asymptotic residual error, and convergence rate. These expressions can be used to determine when the subband approach is advantageous over the full-band approach. A simulation example is given to demonstrate these advantages.

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The Relationship Between State Space Subspace Identification Methods And The EM Method

Authors:

Stuart Gibson, Brett Ninness,

Volume: 1, Page 2415 Paper number 9105

Abstract:

This paper exposes a close connection between subspace-type estimates and single iterates of the Expectation Maximisation (EM) method for Maximum Likelihood (ML) estimation. A key implication of this is that it suggests a means by which ML estimates for MIMO systems may be computed in a numerically robust and straightforward manner.

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Maximum Likelihood Estimation of Wiener Models

Authors:

Anna Hagenblad, Lennart Ljung,

Volume: 1, Page 2417 Paper number 9117

Abstract:

A Wiener model consists of a linear dynamic system followed by a static nonlinearity. The input and output are measured, but not the intermediate signal. We discuss the Maximum Likelihood estimate for Gaussian measurement and process noise, and the special cases when one of the noise sources is zero.

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