Running discrete Fourier transform and its applications in control loop performance assessment

Control loop performance assessment (CLPA) techniques are crucial for optimizing any plant or machine. They can bring huge energy and material savings and increase product quality. In this paper, the employment of running discrete Fourier transform (RDFT) in CLPA field is discussed. The first part of the paper documents the development of new RDFT function block which is suitable for CLPA. The paper focuses on implementation aspects whose aim is to minimize the number of arithmetic operations and to avoid numerical errors which are cumulated in many algorithms when running over longer time period. Then three RDFT applications are introduced. They are mostly dedicated to CLPA area: The changes in RDFT output help to detect increasing valve stiction or reveal a cause of oscillations in the loop. RDFT can be also used for continuous monitoring of process changes at particular frequencies. The most advanced problem presented is the estimation of special performance indices. More specifically, key samples of sensitivity function are gained and compared to the reference ones. Inspired by the model free design techniques, only a minimum a priori information about the process is assumed. The authors believe that the presented ideas will be suitable for both academic and industrial sphere.

[1]  A qualitative shape analysis formalism for monitoring control loop performance , 2001 .

[2]  Tore Hägglund,et al.  Advanced PID Control , 2005 .

[3]  Nina F. Thornhill,et al.  Automatic detection and quantification of stiction in control valves , 2006 .

[4]  Biao Huang,et al.  A pragmatic approach towards assessment of control loop performance , 2003 .

[5]  C. T. Seppala,et al.  A review of performance monitoring and assessment techniques for univariate and multivariate control systems , 1999 .

[6]  S. Joe Qin,et al.  Control performance monitoring — a review and assessment , 1998 .

[7]  Michael J. Grimble Restricted structure control loop performance assessment for PID controllers and state-space systems , 2008 .

[8]  M. Cech,et al.  Computing PID tuning regions based on fractional-order model set , 2012 .

[9]  Mohieddine Jelali Performance assessment of control systems in rolling mills – application to strip thickness and flatness control , 2007 .

[10]  Sirkka-Liisa Jämsä-Jounela,et al.  Evaluation of control performance: methods, monitoring tool and applications in a flotation plant , 2003 .

[11]  Guy A. Dumont,et al.  Detection and diagnosis of oscillations in control loops , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[12]  P. Balda,et al.  ADVANCED CONTROL ALGORITHMS + SIMULINK COMPATIBILITY + REAL-TIME OS = REX , 2005 .

[13]  H Olkkonen Running discrete Fourier transform for time--frequency analysis of biomedical signals. , 1995, Medical engineering & physics.

[14]  Mohieddine Jelali,et al.  An overview of control performance assessment technology and industrial applications , 2006 .

[15]  M. Čech,et al.  Interval PID Tuning Rules for a Fractional-Order Model Set , 2011 .

[16]  Yu-Yun Lee,et al.  Real-time implementation of the moving FFT algorithm , 1999, Signal Process..

[17]  T. Edgar,et al.  Assessment of achievable PI control performance for linear processes with dead time , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[18]  G.A. Dumont,et al.  Control loop performance monitoring , 1996, IEEE Trans. Control. Syst. Technol..

[19]  Cheng-Ching Yu,et al.  Assessment of controller performance: a relay feedback approach , 2003 .

[20]  Schlegel Miloŝ,et al.  COMPUTING VALUE SETS FROM ONE POINT OF FREQUENCY RESPONSE WITH APPLICATIONS , 2005 .

[21]  Pavol Božek,et al.  Registration of holographic images based on the integral transformation , 2013 .

[22]  Gade Pandu Rangaiah,et al.  Attainment of PI Achievable Performance for Linear SISO Processes with Deadtime by Iterative Tuning , 2008 .