On Automation of the PID Tuning Procedure

Within process industry, and in many other areas, the PID controller is responsible for handling regulatory control. An educated guess is that the number of executing PID control loops lies in the billions (2011) and there are no signs indicating a decrease of this number. Properly tuning the PID controller, i.e., setting its parameter values based on characteristics of the process it controls together with robustness criteria, is commonly both timely and costly. Hence, the tuning is often overseen, resulting in numerous poorly tuned loops. These result in unnecessary lack of performance, which might be both hazardous and uneconomic. If a linear time invariant model of the process is given, there exists numerous feasible tuning methods. However, automatically obtaining even a low complexity model is far from trivial in the absence of a priori process information. This thesis addresses system identification to be used in the automatic PID tuning procedure. A method for generating the identification input signal is proposed. Its objective is to yield higher model accuracy in the frequency range where it is most needed for robust tuning. Subsequently, methods for obtaining process models from input and output data pairs are proposed and discussed. All methods are presented using numerous simulations and laboratory experiments. Finally, a simulation study of closed-loop anesthesia in human patients, based on clinically obtained model parameters, is presented. The novelty lies in that the depth of hypnosis PID controller is individualized based on data collected during the induction phase of anesthesia. It is demonstrated that updating the controller, using a herein proposed method, significantly improves performance.

[1]  Julio E. Normey-Rico,et al.  Robust Predictive Control Strategy Applied for Propofol Dosing Using BIS as a Controlled Variable During Anesthesia , 2008, IEEE Transactions on Biomedical Engineering.

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

[3]  Guy Albert Dumont,et al.  Quantifying cortical activity during general anesthesia using wavelet analysis , 2006, IEEE Transactions on Biomedical Engineering.

[4]  Tore Hägglund,et al.  Extending the Relay Feedback Experiment , 2011 .

[5]  N. Morton,et al.  Pharmacokinetic model driven infusion of propofol in children. , 1991, British journal of anaesthesia.

[6]  Stephane Bibian,et al.  Automation in clinical anesthesia , 2006 .

[7]  Tore Hägglund,et al.  A Software Tool for Robust PID Design , 2008 .

[8]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[9]  Kristian Soltesz,et al.  Initialization of the Kalman filter without assumptions on the initial state , 2011, 2011 IEEE International Conference on Robotics and Automation.

[10]  J. Glen,et al.  The development of ‘Diprifusor’: a TCI system for propofol , 1998, Anaesthesia.

[11]  J. Bruhn,et al.  „Target-controlled infusion“ , 2009, Der Anaesthesist.

[12]  A. Yli-Hankala,et al.  Description of the Entropy™ algorithm as applied in the Datex‐Ohmeda S/5™ Entropy Module , 2004, Acta anaesthesiologica Scandinavica.

[13]  Mats Lilja Controller Design by Frequency Domain Approximation , 1989 .

[14]  Naim A. Kheir,et al.  Control system design , 2001, Autom..

[15]  L. Desborough,et al.  Increasing Customer Value of Industrial Control Performance Monitoring—Honeywell’s Experience , 2002 .

[16]  Guy Albert Dumont,et al.  Introduction to Automated Drug Delivery in Clinical Anesthesia , 2005, Eur. J. Control.

[17]  Wassim M. Haddad,et al.  Adaptive control for nonlinear compartmental dynamical systems with applications to clinical pharmacology , 2006, Syst. Control. Lett..

[18]  A. Absalom,et al.  Closed-loop Control of Anesthesia Using Bispectral Index: Performance Assessment in Patients Undergoing Major Orthopedic Surgery under Combined General and Regional Anesthesia , 2002, Anesthesiology.

[19]  Karl Johan Åström,et al.  Numerical Identification of Linear Dynamic Systems from Normal Operating Records , 1965 .

[20]  Mi Friswell,et al.  17th IFAC World Congress , 2008 .

[21]  Arturo Martínez Robust control : PID vs. fractional control design, a case study , 2006 .

[22]  Graham C. Goodwin,et al.  Control System Design , 2000 .

[23]  Jin Liu,et al.  Electroencephalographic Bispectral Index Correlates with Intraoperative Recall and Depth of Propofol-Induced Sedation , 1997, Anesthesia and analgesia.

[24]  K. Åström,et al.  Revisiting The Ziegler‐Nichols Tuning Rules For Pi Control , 2002 .

[25]  Sigurd Skogestad,et al.  Control structure design for complete chemical plants , 2004, Comput. Chem. Eng..

[26]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[27]  Mats Friman,et al.  A two-channel relay for autotuning , 1997 .

[28]  Kristian Soltesz,et al.  Transfer function parameter identification by modified relay feedback , 2010, Proceedings of the 2010 American Control Conference.

[29]  J Schüttler,et al.  Population Pharmacokinetics of Propofol: A Multicenter Study , 2000, Anesthesiology.

[30]  K.J. Astrom,et al.  Design of PID controllers based on constrained optimization , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[31]  G. Xie,et al.  A Response Surface Analysis of Propofol–Remifentanil Pharmacodynamic Interaction in Volunteers , 2004, Anesthesiology.

[32]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[33]  Helene Panagopoulos,et al.  PID Control, Design, Extension, Application , 2000 .

[34]  Michel M R F Struys,et al.  Performance Evaluation of Two Published Closed-loop Control Systems Using Bispectral Index Monitoring: A Simulation Study , 2004, Anesthesiology.

[35]  C. Knospe,et al.  PID control , 2006, IEEE Control Systems.

[36]  N. A. Ralli,et al.  (Continued from previous page) , 1946 .

[37]  Ian Postlethwaite,et al.  17th IFAC World Congress, Seoul, Korea , 2008 .

[38]  C. Nunes,et al.  The effect of a remifentanil bolus on the bispectral index of the EEG (BIS) in anaesthetized patients independently from intubation and surgical stimuli , 2006, European journal of anaesthesiology.

[39]  George A. Perdikaris Computer Controlled Systems , 1991 .

[40]  Tore Hägglund,et al.  Automatic tuning of simple regulators with specifications on phase and amplitude margins , 1984, Autom..

[41]  Peter S. Sebel,et al.  Development and Clinical Application of Electroencephalographic Bispectrum Monitoring , 2000, Anesthesiology.

[42]  P. R. Kumar,et al.  Adaptive Control, Filtering, and Signal Processing , 1995 .

[43]  Kristian Soltesz,et al.  Individualized PID control of depth of anesthesia based on patient model identification during the induction phase of anesthesia , 2011, IEEE Conference on Decision and Control and European Control Conference.

[44]  Gerd Behrmann,et al.  IFAC World Congress , 2005 .

[45]  Tore Hägglund,et al.  Teaching Control Principles to Industry Practitioners , 2011 .

[46]  Manfred Morari,et al.  Modeling and closed-loop control of hypnosis by means of bispectral index (BIS) with isoflurane , 2001, IEEE Transactions on Biomedical Engineering.

[47]  Tong Heng Lee,et al.  Relay Feedback: A Complete Analysis for First-Order Systems , 2004 .

[48]  Max Donath,et al.  American Control Conference , 1993 .

[49]  Guy A. Dumont,et al.  Robust control of depth of anesthesia , 2008 .

[50]  L B Sheiner,et al.  Simultaneous modeling of pharmacokinetics and pharmacodynamics: application to d-tubocurarine. , 1980, Clinical pharmacology and therapeutics.

[51]  Mats Lilja,et al.  Least squares fitting to a rational transfer function with time delay , 1988 .

[52]  S. Shafer,et al.  The Influence of Method of Administration and Covariates on the Pharmacokinetics of Propofol in Adult Volunteers , 1998, Anesthesiology.

[53]  van der Arjan Schaft,et al.  50th IEEE Conference on Decision and Control and European Control Conference, 2011 , 2011 .