Real time input subset selection for linear time-variant MIMO systems

S. P. Kim, J. C. Sanchez, J. C. Principe

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

In this paper we propose an approach for multi-input multi-output (MIMO) system identification when the statistical relationship between input and output varies in input space as well as in time; i.e. nonstationary in space and time. An on-line variable selection algorithm, which has been recently developed for selecting a subset of input variables in real time by modifying least angle regression (LAR) with recursive estimators, is extensively applied to the linear time-variant MIMO systems. In our approach, a subset of input channels relevant with output is selected at every time instance based on the correlation between the filtering outcome of individual input channels and desired output. The on-line variable selection algorithm performs channel selection with weights using this real-time correlation. The proposed model is compared with a typical linear model in which only the least mean squares (LMS) is used to update system parameters. Tracking performances of these two models are demonstrated in a computer simulation and in a real-world application for tracking a linear relationship between neural firing rates of a primate and synchronously recorded hand kinematics. In both cases, our model demonstrates superior tracking performance.

Original languageEnglish (US)
Pages (from-to)83-98
Number of pages16
JournalOptimization Methods and Software
Volume22
Issue number1
DOIs
StatePublished - Feb 1 2007

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Keywords

  • Least angle regression
  • On-line channel selection
  • Time-variant multi-input multi-output systems

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software
  • Applied Mathematics
  • Control and Optimization
  • Management Science and Operations Research

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