Predictive control with adaptive model maintenance: Application to power plants

Abstract This paper describes a method for model predictive control (MPC) with model maintenance. A supervisor maintains the control model in real time by providing an estimate of disturbances and noise. A switch is triggered when the predictions of the control model deviate from disturbance estimate by more than a pre-determined amount. The predictive control algorithm described in the paper uses the innovation representation of a Markov–Laguerre model. A Monte Carlo study and an experiment show that good models and stable control are obtained. A simulation study based on models of a boiler–turbine unit shows that the algorithm can adapt to time-varying data. The performance is assessed using the area regulation (AR) test criterion currently adopted by PJM Interconnection LLC. The proposed adaptive MPC gives an AR test score of more than 90 with pressure fluctuations less than 3% even when the coal quality changes.

[1]  V. Wertz,et al.  Adaptive Optimal Control: The Thinking Man's G.P.C. , 1991 .

[2]  Ertuğrul Çam,et al.  An adaptive control application in a large thermal combined power plant , 2007 .

[3]  Bo Egardt,et al.  Stability of Adaptive Controllers , 1979 .

[4]  Manfred Morari,et al.  Real-time input-constrained MPC using fast gradient methods , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[5]  Babu Joseph,et al.  Inferential control of processes: Part I. Steady state analysis and design , 1978 .

[6]  S. Qin,et al.  Minimum variance performance map for constrained model predictive control , 2009 .

[7]  Pesi Rustom Masani,et al.  Norbert Wiener - 1894-1964 , 1989, The Journal of nervous and mental disease.

[8]  Evanghelos Zafiriou,et al.  Robust process control , 1987 .

[9]  Norbert Wiener,et al.  Extrapolation, Interpolation, and Smoothing of Stationary Time Series , 1964 .

[10]  Manfred Morari,et al.  Robust constrained model predictive control using linear matrix inequalities , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[11]  Carlos E. Garcia,et al.  Internal model control. A unifying review and some new results , 1982 .

[12]  Petros A. Ioannou,et al.  Adaptive Systems with Reduced Models , 1983 .

[13]  Liu Ji Tuning of Coordinated Controllers for Boiler-turbine Units , 2005 .

[14]  Jeff S. Shamma,et al.  Gain-scheduled ℓ1-optimal control for boiler-turbine dynamics with actuator saturation , 2004 .

[15]  John Bagterp Jørgensen,et al.  The potential of Economic MPC for power management , 2010, 49th IEEE Conference on Decision and Control (CDC).

[16]  Alberto Bemporad,et al.  An algorithm for multi-parametric quadratic programming and explicit MPC solutions , 2003, Autom..

[17]  D. Mayne,et al.  Design issues in adaptive control , 1988 .

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

[19]  R. Bitmead,et al.  PERSISTENTLY EXCITING MODEL PREDICTIVE CONTROL USING FIR MODELS , 2010 .

[20]  J. H. Kelly,et al.  Adaptive H∞ control with application to systems with structural flexibility , 1997, IEEE Trans. Autom. Control..

[21]  Panagiotis D. Christofides,et al.  Networked and Distributed Predictive Control: Methods and Nonlinear Process Network Applications , 2011 .

[22]  B. Wahlberg System identification using Laguerre models , 1991 .

[23]  Shiro Matsumura,et al.  Adaptive Control for Steam Temperature of Thermal Power Plant , 1993 .

[24]  Xu Cheng,et al.  Advanced control design for boiler-turbine unit , 2011, 2011 IEEE International Conference on Control Applications (CCA).

[25]  Marco Forgione,et al.  A unified experiment design framework for detection and identification in closed-loop performance diagnosis , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[26]  K. Narendra,et al.  Bounded error adaptive control , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[27]  Jun Zhao,et al.  Toward a low cost and high performance MPC: The role of system identification , 2013, Comput. Chem. Eng..

[28]  Aldo Cipriano,et al.  Optimization of Industrial Processes at Supervisory Level: Application to Control of Thermal Power Plants , 2001 .

[29]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .

[30]  S. Joe Qin,et al.  A survey of industrial model predictive control technology , 2003 .

[31]  M. Radenković,et al.  Using Persistent Excitation with Fixed Energy to Stabilize AdaptiveControllers and Obtain Hard Bounds for the Parameter Estimation Error , 1995 .

[32]  Fang Fang,et al.  Tuning of Coordinated Controllers for Boiler-turbine Units 1) , 2005 .

[33]  Un-Chul Moon,et al.  Application of dynamic matrix control to a boiler-turbine system , 2005, IEEE Power Engineering Society General Meeting, 2005.

[34]  Shiro Matsumura,et al.  Adaptive control for the steam temperature of thermal power plants , 1998, Proceedings of the 1998 IEEE International Conference on Control Applications (Cat. No.98CH36104).

[35]  Bjarne Foss,et al.  An Adaptive Model Predictive Dual Controller , 2013, ALCOSP.

[36]  Iven M. Y. Mareels,et al.  Adaptive systems - an introduction , 1996, Systems and control.

[37]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[38]  M. Radenković,et al.  Using Persistent Excitation with Fixed Energy to Stabilize Adaptive Controllers and Obtain Hard Bounds for the Parameter Estimation Error , 1993, 1993 American Control Conference.

[39]  Xavier Bombois,et al.  Design of least costly identification experiments. The main philosophy accompanied by illustrative examples , 2012 .

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

[41]  B. Erik Ydstie,et al.  Adaptive control with selective memory , 2004 .

[42]  B. Wahlberg,et al.  Modelling and Identification with Rational Orthogonal Basis Functions , 2000 .

[43]  Norbert Wiener,et al.  Extrapolation, Interpolation, and Smoothing of Stationary Time Series, with Engineering Applications , 1949 .

[44]  Tianyou Chai,et al.  Intelligent decoupling control of power plant main steam pressure and power output , 2003 .

[45]  Stephen J. Wright,et al.  Nonlinear Predictive Control and Moving Horizon Estimation — An Introductory Overview , 1999 .

[46]  Manfred Morari,et al.  Model predictive control: Theory and practice - A survey , 1989, Autom..

[47]  Tore Hägglund,et al.  Supervision of Adaptive Control Algorithms , 1997 .

[48]  Alberto Bemporad,et al.  Control of systems integrating logic, dynamics, and constraints , 1999, Autom..

[49]  Manfred Morari,et al.  Challenges and opportunities in process control: Biomedical processes , 2001 .

[50]  Wen Tan,et al.  Analysis and control of a nonlinear boiler-turbine unit , 2005 .

[51]  L. Ljung,et al.  Hard frequency-domain model error bounds from least-squares like identification techniques , 1992 .

[52]  J. Richalet,et al.  Model predictive heuristic control: Applications to industrial processes , 1978, Autom..

[53]  Wen Tan,et al.  Constrained Dynamic Matrix Control for a Boiler-Turbine Unit , 2006, 2006 International Conference on Machine Learning and Cybernetics.

[54]  B. Wahlberg,et al.  Constrained predictive control using orthogonal expansions , 1993 .

[55]  Wei Li,et al.  Robust controller design for simultaneous control of throttle pressure and megawatt output in a power plant unit , 1999 .

[56]  Lorenz T. Biegler,et al.  Fast nonlinear model predictive control: Formulation and industrial process applications , 2013, Comput. Chem. Eng..

[57]  B. Ydstie,et al.  Recursive estimation with adaptive divergence control , 1985 .

[58]  Håkan Hjalmarsson,et al.  On optimal input design in system identification for model predictive control , 2011, IEEE Conference on Decision and Control and European Control Conference.

[59]  Andrew Clegg,et al.  Adaptive predictive expert control of superheated steam temperature in a coal-fired power plant , 2012 .

[60]  G. Dumont,et al.  Deterministic adaptive control based on Laguerre series representation , 1988 .

[61]  Manfred Morari,et al.  Modeling and control of co-generation power plants: a hybrid system approach , 2004, IEEE Trans. Control. Syst. Technol..

[62]  Robert R. Bitmead,et al.  Directional leakage and parameter drift , 2004 .

[63]  Håkan Hjalmarsson,et al.  Model predictive control with integrated experiment design for output error systems , 2013, 2013 European Control Conference (ECC).