Multifractal Properties of Process Control Variables

Control system is an inevitable element of any industrial installation. Its quality affects overall process performance significantly. The assessment, whether control system needs any improvement o...

[1]  Jan W. Kantelhardt,et al.  Multifractal moving average analysis and test of multifractal model with tuned correlations , 2011 .

[2]  E. Serrano,et al.  Wavelet Leaders: A new method to estimate the multifractal singularity spectra , 2009 .

[3]  H. Stanley,et al.  A multifractal analysis of Asian foreign exchange markets , 2008 .

[4]  Nacim Betrouni,et al.  Fractal and multifractal analysis: A review , 2009, Medical Image Anal..

[5]  J. L. Véhel,et al.  MULTIFRACTAL SEGMENTATION OF IMAGES , 1994 .

[6]  Jinde Cao,et al.  H∞ state estimation of generalised neural networks with interval time-varying delays , 2016, Int. J. Syst. Sci..

[7]  Robert Jankowski,et al.  Control Rehabilitation Impact on Production Efficiency of Ammonia Synthesis Installation , 2016 .

[8]  B. Mandelbrot.  Possible refinement of the lognormal hypothesis concerning the distribution of energy dissipation in intermittent turbulence , 1972 .

[9]  Stéphane Seuret,et al.  Detecting and creating oscillations using multifractal methods , 2006 .

[10]  Y. Chen,et al.  Constant-Order Fractional Processes , 2012 .

[11]  Karl Johan Åström,et al.  Computer control of a paper machine: an application of linear stochastic control theory , 1967 .

[12]  Espen A. F. Ihlen,et al.  Introduction to Multifractal Detrended Fluctuation Analysis in Matlab , 2012, Front. Physio..

[13]  Peter G. Harrison,et al.  Measurement and modelling of self-similar traffic in computer networks , 2004 .

[14]  E. Ott,et al.  Dimension of Strange Attractors , 1980 .

[15]  Albert-László Barabási,et al.  Multifractal spectra of multi-affine functions , 1991 .

[16]  Ali Cinar,et al.  Multivariable MPC system performance assessment, monitoring, and diagnosis , 2004 .

[17]  Ioannis A. Koutrouvelis,et al.  Regression-Type Estimation of the Parameters of Stable Laws , 1980 .

[18]  T. Harris.  Assessment of Control Loop Performance , 1989 .

[19]  Stéphane Jaffard,et al.  Multifractal formalism for functions part I: results valid for all functions , 1997 .

[20]  N. Kenkel,et al.  Fractals in the Biological Sciences , 1996 .

[21]  John W. Cox,et al.  A practical approach for large-scale controller performance assessment, diagnosis, and improvement , 2003 .

[22]  Samuel Nicolay,et al.  A multifractal formalism for non-concave and non-increasing spectra: The leaders profile method , 2017 .

[23]  E. Bacry,et al.  Wavelets and multifractal formalism for singular signals: Application to turbulence data. , 1991, Physical review letters.

[24]  Hui Yuan,et al.  Process Analysis and Performance Assessment for Sheet Forming Processes , 2015 .

[25]  Raghunathan Rengaswamy,et al.  Automatic oscillation detection and characterization in closed-loop systems , 2012 .

[26]  N. Leonenko,et al.  Detecting multifractal stochastic processes under heavy-tailed effects , 2014 .

[27]  H. Stanley,et al.  Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series , 2002, physics/0202070.

[28]  T. Aste,et al.  Understanding the source of multifractality in financial markets , 2012, 1201.1535.

[29]  Raghunathan Rengaswamy,et al.  Control loop performance assessment using detrended fluctuation analysis (DFA) , 2012, Autom..

[30]  S. Joe Qin,et al.  Performance monitoring of model-predictive controllers via model residual assessment , 2013 .

[31]  D. Sornette.  Dragon-Kings, Black Swans and the Prediction of Crises , 2009, 0907.4290.

[32]  Junghui Chen,et al.  Minimum entropy-based performance assessment of feedback control loops subjected to non-Gaussian disturbances , 2014 .

[33]  Radhakrishnan Nagarajan,et al.  Evidence of crossover phenomena in wind-speed data , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[34]  Mohieddine Jelali,et al.  Control Performance Management in Industrial Automation , 2012 .

[35]  Ladislav Kristoufek,et al.  On Hurst exponent estimation under heavy-tailed distributions , 2010, 1201.4786.

[36]  D. Heffernan,et al.  The origins of multifractality in financial time series and the effect of extreme events , 2014 .

[37]  Dexian Huang,et al.  A review of control loop monitoring and diagnosis: Prospects of controller maintenance in big data era☆ , 2016 .

[38]  S. Jaffard,et al.  Wavelet Leaders in Multifractal Analysis , 2006 .

[39]  Poobalan Govender,et al.  A Data Driven Approach to Performance Assessment of PID Controllers for Setpoint Tracking , 2014 .

[40]  Florin Avram,et al.  Robustness of the R / S Statistic for Fractional Stable Noises , 2000 .

[41]  P. Domański.  Non-Gaussian and persistence measures for control loop quality assessment. , 2016, Chaos.