Adaptive monitoring of the process operation based on symbolic episode representation and hidden Markov models with application toward an oil sand primary separation

Abstract This paper presents a novel procedure for classification of normal and abnormal operating conditions of a process when multiple noisy observation sequences are available. Continuous time signals are converted to discrete observations using the method of triangular representation. Since there is a large difference in the means and variances of the durations and magnitudes of the triangles at different operating modes, adaptive fuzzy membership functions are applied for discretization. The expectation maximization (EM) algorithm is used to obtain parameters of the different modes for the durations and magnitudes assuming that states transit to each other according to a Markov chain model. Applying Hamilton's filter, probability of each state given new duration and magnitude is calculated to weight the membership functions of each mode previously obtained from a fuzzy C-means clustering. After adaptive discretization step, having discrete observations available, the combinatorial method for training hidden Markov models (HMMs) with multiple observations is used for overall classification of the process. Application of the method is studied on both simulation and industrial case studies. The industrial case study is the detection of normal and abnormal process conditions in the primary separation vessel (PSV) of an oil sand industry. The method shows an overall good performance in detecting normal and risky operating conditions.

[1]  Anna Pernestål,et al.  A Bayesian Approach to Fault Isolation with Application to Diesel Engine Diagnosis , 2007 .

[2]  G. Stephanopoulos,et al.  Representation of process trends—Part II. The problem of scale and qualitative scaling , 1990 .

[3]  Marc Parizeau,et al.  Training Hidden Markov Models with Multiple Observations-A Combinatorial Method , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  G. Stephanopoulos,et al.  Representation of process trends—Part I. A formal representation framework , 1990 .

[5]  James D. Hamilton Rational-expectations econometric analysis of changes in regime: An investigation of the term structure of interest rates , 1988 .

[6]  Jing Li,et al.  Fault detection and isolation of faults in a multivariate process with Bayesian network , 2010 .

[7]  Paul M. Baggenstoss A modified Baum-Welch algorithm for hidden Markov models with multiple observation spaces , 2001, IEEE Trans. Speech Audio Process..

[8]  Mustafa Gogus,et al.  Critical Flow Velocity in Slurry Transporting Horizontal Pipelines , 2001 .

[9]  Harold E. Adkins,et al.  Deposition Velocities of Newtonian and Non-Newtonian Slurries in Pipelines , 2009 .

[10]  Bhavik R. Bakshi,et al.  Representation of process trends—III. Multiscale extraction of trends from process data , 1994 .

[11]  Ahmet Palazoglu,et al.  Classification of process trends based on fuzzified symbolic representation and hidden Markov models , 1998 .

[12]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[13]  Ingrid Daubechies,et al.  The wavelet transform, time-frequency localization and signal analysis , 1990, IEEE Trans. Inf. Theory.

[14]  L. R. Rabiner,et al.  An introduction to the application of the theory of probabilistic functions of a Markov process to automatic speech recognition , 1983, The Bell System Technical Journal.

[15]  F. Diebold,et al.  Regime Switching with Time-Varying Transition Probabilities , 2020, Business Cycles.

[16]  D. Shiping,et al.  Training Second-Order Hidden Markov Models with Multiple Observation Sequences , 2009, 2009 International Forum on Computer Science-Technology and Applications.

[17]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[18]  Biao Huang,et al.  Identification of switched Markov autoregressive eXogenous systems with hidden switching state , 2012, Autom..

[19]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[20]  James D. Hamilton Analysis of time series subject to changes in regime , 1990 .

[21]  Raffi M. Turian,et al.  Estimation of the critical velocity in pipeline flow of slurries , 1987 .

[22]  R. Takahashi,et al.  Fuzzy/Bayesian change point detection approach to incipient fault detection , 2011 .

[23]  Ahmet Palazoglu,et al.  Classification of abnormal plant operation using multiple process variable trends , 2001 .

[24]  Lawrence R. Rabiner,et al.  A tutorial on hidden Markov models and selected applications in speech recognition , 1989, Proc. IEEE.

[25]  M. A. Henson,et al.  Input‐output linearization of general nonlinear processes , 1990 .