학술논문

Variational Bayesian Inference for Robust Identification of PWARX Systems With Time-Varying Time-Delays
Document Type
Periodical
Source
IEEE Transactions on Cybernetics IEEE Trans. Cybern. Cybernetics, IEEE Transactions on. 53(6):3613-3623 Jun, 2023
Subject
Signal Processing and Analysis
Communication, Networking and Broadcast Technologies
Robotics and Control Systems
General Topics for Engineers
Components, Circuits, Devices and Systems
Computing and Processing
Power, Energy and Industry Applications
Time-varying systems
Support vector machines
Partitioning algorithms
Bayes methods
Maximum likelihood estimation
Delays
Probability distribution
Piecewise autoregressive exogenous (PWARX)
robust identification
support vector machine (SVM)
t-distribution
time-delay
variational Bayesian (VB)
Language
ISSN
2168-2267
2168-2275
Abstract
This article presents a robust variational Bayesian (VB) algorithm for identifying piecewise autoregressive exogenous (PWARX) systems with time-varying time-delays. To alleviate the adverse effects caused by outliers, the probability distribution of noise is taken to follow a $t$ -distribution. Meanwhile, a solution strategy for more accurately classifying undecidable data points is proposed, and the hyperplanes used to split data are determined by a support vector machine (SVM). In addition, maximum-likelihood estimation (MLE) is adopted to re-estimate the unknown parameters through the classification results. The time-delay is regarded as a hidden variable and identified through the VB algorithm. The effectiveness of the proposed algorithm is illustrated by two simulation examples.