Increasing mapping based hidden Markov model for dynamic process monitoring and diagnosis

  • Authors:
  • Zefang Li;Huajing Fang;Lisha Xia

  • Affiliations:
  • Department of Control Science and Engineering, Huazhong University of Science and Technology, 1037 Luo-yu Road, Wuhan 430074, PR China and Institute of Computer Technology and Software Engineering ...;Department of Control Science and Engineering, Huazhong University of Science and Technology, 1037 Luo-yu Road, Wuhan 430074, PR China;Department of Control Science and Engineering, Huazhong University of Science and Technology, 1037 Luo-yu Road, Wuhan 430074, PR China

  • Venue:
  • Expert Systems with Applications: An International Journal
  • Year:
  • 2014

Quantified Score

Hi-index 12.05

Visualization

Abstract

Hidden Markov models (HMMs) perform parameter estimation based on the forward-backward (FB) procedure and the Baum-Welch (BW) algorithm. The two algorithms together may increase the computational complexity and the difficulty to understand the algorithm structure of HMMs clearly. In this study, an increasing mapping based hidden Markov model (IMHMM) is proposed. Between the observation sequence and possible state sequence an increasing mapping is established. The re-estimation formulas for the model parameters are derived straightforwardly based on these mappings instead of FB variables. The IMHMM has simpler algorithm structure and lower storage requirement than the HMM. Based on IMHMM, an expandable process monitoring and fault diagnosis framework for large-scale dynamical process is developed. To characterize the dynamic process, a novel index considering serial correlation is used to evaluate process state. The presented methodology is carried out in Tennessee Eastman process (TEP). The results show improvement over HMM in terms of memory complexity and training time of the model. Also, the power of IMHMM can be observed compared with principal component analysis (PCA) based methods.