Improved disturbance and fault signal modeling via Hidden Markov Models

Understanding and modeling disturbances play a critical part in designing effective advanced model-based control solutions. Existing linear, stationary disturbance models are oftentimes limiting in the face of time-varying characteristics typically witnessed in process industries. These include intermittent drifts, abrupt changes, temporary oscillations, and outliers. This work proposes a Hidden-Markov-Model-based framework to deal with such situations that exhibit discrete, modal behavior. The usefulness of the proposed disturbance framework is demonstrated through two examples: i) tracking abruptly changing feed conditions in the context of a second generation bioethanol fermentor and ii) tracking stiction, a well known problems known to occur in valves.

[1]  Jay H. Lee,et al.  Diagnostic Tools for Multivariable Model-Based Control Systems , 1997 .

[2]  Karl Johan Åström,et al.  Computer-controlled systems (3rd ed.) , 1997 .

[3]  Jay H. Lee,et al.  Hybrid cybernetic model-based simulation of continuous production of lignocellulosic ethanol: Rejecting abruptly changing feed conditions , 2010 .

[4]  M. Galbe,et al.  Bio-ethanol--the fuel of tomorrow from the residues of today. , 2006, Trends in biotechnology.

[5]  David W. Clarke,et al.  Generalized predictive control - Part I. The basic algorithm , 1987, Autom..

[6]  Michèle Basseville,et al.  Detecting changes in signals and systems - A survey , 1988, Autom..

[7]  Manfred Morari,et al.  Studies in the synthesis of control structures for chemical processes: Part III: Optimal selection of secondary measurements within the framework of state estimation in the presence of persistent unknown disturbances , 1980 .

[8]  Sirish L. Shah,et al.  Modelling valve stiction , 2005 .

[9]  G. Stephanopoulos,et al.  Minimizing unobservability in inferential control schemes , 1980 .

[10]  S. Qin,et al.  A Curve Fitting Method for Detecting Valve Stiction in Oscillating Control Loops , 2007 .

[11]  Jay H. Lee,et al.  Extended Kalman Filter Based Nonlinear Model Predictive Control , 1993, 1993 American Control Conference.

[12]  Yaakov Bar-Shalom,et al.  Estimation and Tracking: Principles, Techniques, and Software , 1993 .

[13]  Astrom Computer Controlled Systems , 1990 .

[14]  Manabu Kano,et al.  Practical Model and Detection Algorithm for Valve Stiction , 2004 .

[15]  Nina F. Thornhill,et al.  Detection and Diagnosis of Stiction in Control Loops State of the Art and Advanced Methods , 2010 .

[16]  C. R. Cutler,et al.  Dynamic matrix control¿A computer control algorithm , 1979 .

[17]  Jitendra Tugnait Detection and estimation for abruptly changing systems , 1981, CDC 1981.