Robust predictive control of diesel airpath

In an automotive diesel airpath application, the controller is required to track reference values of intake manifold (boost) pressure and exhaust gas recirculation (EGR) rate. EGR rate is the ratio of the EGR outflow rate to the combined EGR and compressor outflow rates. The reference values for these output variables are determined by a high level controller based on the current engine operating condition characterised by an engine rotational speed and a fuelling rate. Perfect tracking of these references in a drive cycle ensures optimal driver demand responsiveness, fuel efficiency, and satisfaction of legislated emission limits. However, diesel engine airpath control is challenging owing to its nonlinear multivariable nature. Conventional approaches use look-up tables and proportional-integral-differential (PID) loops ignoring the cross-sensitivities that can affect the controller performance. Furthermore, these approaches do not guarantee satisfaction of operating and reliability constraints on manifold pressures and physical limitations of the actuators. On the other hand, the constraint handling ability of model predictive control (MPC) makes it an ideal choice of control architecture for constrained multi-input multi-output systems, such as diesel engines. However, efficient calibration of typical implementations of MPC is hindered by the high number of tuning parameters and their nonintuitive correlation with the output response. Additionally, modelling errors might lead to constraint violation and loss of recursive feasibility. This thesis proposes a robust switched linear time invariant (LTI) MPC architecture for diesel airpath that utilises multiple local controllers that require low calibration effort. In order to reduce the number of effective tuning parameters to aid rapid calibration, first, structural modifications are introduced to the traditional MPC formulation by constraining the outputs within exponentially decaying envelopes and an appropriate cost function parameterisation. Subsequently, a methodology based on sequential convex program (SCP) is proposed to estimate maximal disturbance set

[1]  David Angeli,et al.  Transient average constraints in economic model predictive control , 2014, Autom..

[2]  Héctor Rotstein,et al.  Single-input-single-output H∞-control with time domain constraints , 1993, Autom..

[3]  Paolo Vineis,et al.  Outdoor Particulate Matter Exposure and Lung Cancer: A Systematic Review and Meta-Analysis , 2014, Environmental health perspectives.

[4]  John F. Thomas,et al.  Drive Cycle Powertrain Efficiencies and Trends Derived from EPA Vehicle Dynamometer Results , 2014 .

[5]  James B. Rawlings,et al.  Postface to “ Model Predictive Control : Theory and Design ” , 2012 .

[6]  Marko Bacic,et al.  Model predictive control , 2003 .

[7]  Harald Waschl,et al.  A Design Framework for Predictive Engine Control , 2011 .

[8]  David Angeli,et al.  On convergence of averagely constrained economic MPC and necessity of dissipativity for optimal steady-state operation , 2013, 2013 American Control Conference.

[9]  Eduardo F. Camacho,et al.  Robust tube based MPC for tracking of piece-wise constant references , 2007, 2007 46th IEEE Conference on Decision and Control.

[10]  Basil Kouvaritakis,et al.  Robust Tubes in Nonlinear Model Predictive Control , 2010, IEEE Transactions on Automatic Control.

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

[12]  J. A. Rossiter,et al.  Triple mode control in MPC , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[13]  Jay H. Lee,et al.  Model predictive control: Review of the three decades of development , 2011 .

[14]  David Q. Mayne,et al.  Robust model predictive control of constrained linear systems with bounded disturbances , 2005, Autom..

[15]  Lars Eriksson,et al.  EGR-VGT Control and Tuning for Pumping Work Minimization and Emission Control , 2010, IEEE Transactions on Control Systems Technology.

[16]  Chris Manzie,et al.  Efficient calibration of real-time model-based controllers for diesel engines — Part II: Incorporating practical robustness guarantees , 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

[17]  Timothy Broomhead A model based approach to the control of diesel generators , 2016 .

[18]  Chris Manzie,et al.  A Robust Model Predictive Control Framework for Diesel Generators , 2014 .

[19]  J. H. Leet,et al.  Worst-case formulations of model predictive control for systems with bounded parameters , 1997, Autom..

[20]  Jonathan P. How,et al.  Robust variable horizon model predictive control for vehicle maneuvering , 2006 .

[21]  Rohan C. Shekhar,et al.  Optimal constraint tightening policies for robust variable horizon model predictive control , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[22]  Manfred Morari,et al.  Multi-Parametric Toolbox 3.0 , 2013, 2013 European Control Conference (ECC).

[23]  Moritz Diehl,et al.  Local Convergence of Sequential Convex Programming for Nonconvex Optimization , 2010 .

[24]  Luigi del Re,et al.  Robust Model Predictive Control of a Diesel Engine Airpath , 2008 .

[25]  Jonathan P. How,et al.  Model predictive control of vehicle maneuvers with guaranteed completion time and robust feasibility , 2003, Proceedings of the 2003 American Control Conference, 2003..

[26]  Xavier Blasco,et al.  Nonlinear predictive control based on local model networks for air management in diesel engines , 2008 .

[27]  J. A. Rossiter,et al.  Model-Based Predictive Control : A Practical Approach , 2017 .

[28]  L. del Re,et al.  Nonlinear Model Predictive Control of a Diesel Engine Airpath , 2009 .

[29]  C. Rakopoulos,et al.  Diesel Engine Transient Operation , 2013 .

[30]  Jan M. Maciejowski,et al.  REVERSE-ENGINEERING EXISTING CONTROLLERS FOR MPC DESIGN , 2007 .

[31]  A. H. Glattfelder,et al.  Model-based control of the VGT and EGR in a turbocharged common-rail diesel engine: Theory and passenger car implementation , 2003 .

[32]  Eduardo F. Camacho,et al.  MPC for tracking piecewise constant references for constrained linear systems , 2008, Autom..

[33]  David Angeli,et al.  Fundamentals of economic model predictive control , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[34]  James B. Rawlings,et al.  Model predictive control with linear models , 1993 .

[35]  Manfred Morari,et al.  Robust Model Predictive Control , 1987, 1987 American Control Conference.

[36]  Antonio Ferramosca,et al.  MPC for tracking with optimal closed-loop performance , 2009, Autom..

[37]  Sigurd Skogestad,et al.  Profitable and dynamically feasible operating point selection for constrained processes , 2014 .

[38]  Mrdjan Jankovic,et al.  Constructive Lyapunov control design for turbocharged diesel engines , 2000, IEEE Trans. Control. Syst. Technol..

[39]  Ilya Kolmanovsky,et al.  Rate-Based Model Predictive Control of Diesel Engines , 2013 .

[40]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[41]  E. Gilbert,et al.  Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: Stability and moving-horizon approximations , 1988 .

[42]  Alberto Bemporad,et al.  A survey on explicit model predictive control , 2009 .

[43]  Jay H. Lee,et al.  Model predictive control: past, present and future , 1999 .

[44]  Edward Winward,et al.  An Explicit Model Predictive Control Framework for Turbocharged Diesel Engines , 2014, IEEE Transactions on Industrial Electronics.

[45]  J L Sullivan,et al.  CO2 emission benefit of diesel (versus gasoline) powered vehicles. , 2004, Environmental science & technology.

[46]  Gilberto Pin,et al.  Robust nonlinear receding horizon control with constraint tightening: off line approximation and application to networked control system , 2009 .

[47]  Christoph Michael Schär Control of a selective catalytic reduction process , 2003 .

[48]  D. Mayne,et al.  Min-max feedback model predictive control for constrained linear systems , 1998, IEEE Trans. Autom. Control..

[49]  Lars Eriksson,et al.  Modelling diesel engines with a variable-geometry turbocharger and exhaust gas recirculation by optimization of model parameters for capturing non-linear system dynamics , 2011 .

[50]  Luigi del Re,et al.  Automotive model predictive control : models, methods and applications , 2010 .

[51]  E. Kerrigan Robust Constraint Satisfaction: Invariant Sets and Predictive Control , 2000 .

[52]  Luigi del Re,et al.  Predictive Control of a Diesel Engine Air Path , 2007, IEEE Transactions on Control Systems Technology.

[53]  Arthur G. Richards,et al.  Robust stable model predictive control with constraint tightening , 2006, 2006 American Control Conference.

[54]  Luigi Chisci,et al.  Dual-Receding Horizon Control of Constrained Discrete Time Systems , 1996, Eur. J. Control.

[55]  Douglas J. Cooper,et al.  A novel tuning strategy for multivariable model predictive control , 1997 .

[56]  Lars Eriksson,et al.  Performance gains with EGR-flow inversion for handling non-linear dynamic effects in EGR VGT CI engines , 2007 .

[57]  E. Hendricks Engine Modelling for Control Applications: A Critical Survey , 1997 .

[58]  David Q. Mayne,et al.  Model predictive control: Recent developments and future promise , 2014, Autom..

[59]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[60]  Francesco Borrelli,et al.  A model predictive control framework for industrial turbodiesel engine control , 2008, 2008 47th IEEE Conference on Decision and Control.

[61]  David Q. Mayne,et al.  Tube‐based robust nonlinear model predictive control , 2011 .

[62]  Jing Sun,et al.  Closed-loop model order reduction and MPC for diesel engine airpath control , 2015, 2015 American Control Conference (ACC).

[63]  Ken Butts,et al.  Rate-Based Model Predictive Controller for Diesel Engine Air Path: Design and Experimental Evaluation , 2016, IEEE Transactions on Control Systems Technology.

[64]  Luigi Chisci,et al.  Systems with persistent disturbances: predictive control with restricted constraints , 2001, Autom..

[65]  Graham C. Goodwin,et al.  Constrained Control and Estimation: an Optimization Approach , 2004, IEEE Transactions on Automatic Control.

[66]  Anna G. Stefanopoulou,et al.  Decentralized and Multivariable Designs for EGR-VGT Control of a Diesel Engine , 1998 .

[67]  David Angeli,et al.  Convergence in economic model predictive control with average constraints , 2014, Autom..

[68]  Lars Eriksson,et al.  Physical Modeling of Turbocharged Engines and Parameter Identification , 2010 .

[69]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[70]  Emmanuel P Kasseris,et al.  On the Road in 2035 : Reducing Transportation ’ s Petroleum Consumption and GHG Emissions , 2008 .

[71]  A. Cohen,et al.  ehp Lung Cancer and Exposure to Nitrogen Dioxide and Traffic : A Systematic Review and Meta-Analysis , 2015 .

[72]  David Q. Mayne,et al.  Reachability analysis of discrete-time systems with disturbances , 2006, IEEE Transactions on Automatic Control.

[73]  Lorenzo Fagiano,et al.  Generalized terminal state constraint for model predictive control , 2012, Autom..

[74]  Alberto Bemporad,et al.  Model predictive control based on linear programming - the explicit solution , 2002, IEEE Transactions on Automatic Control.

[75]  Eric C. Kerrigan,et al.  Optimization over state feedback policies for robust control with constraints , 2006, Autom..

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

[77]  Emad Ali,et al.  Optimization-based Tuning of Nonlinear Model Predictive Control with State Estimation , 1993 .

[78]  Ilya Kolmanovsky,et al.  Automotive Powertrain Control — A Survey , 2006 .

[79]  L. del Re,et al.  MPC for a diesel engine air path using an explicit approach for constraint systems , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[80]  E. Polak,et al.  On the design of linear multivariable feedback systems via constrained nondifferentiable optimization in H/sup infinity / spaces , 1989 .

[81]  Ilya V. Kolmanovsky,et al.  Robust rate-based Model Predictive Control of diesel engine air path , 2014, 2014 American Control Conference.

[82]  Cha Chris Criens Air-path control of clean diesel engines : for disturbance rejection on NOx, PM and fuel efficiency , 2014 .

[83]  Rolf Johansson,et al.  Multiple-Input Multiple-Output Model Predictive Control of a Diesel Engine , 2010 .

[84]  Chris Manzie,et al.  Model Reduction of Diesel Mean Value Engine Models , 2015 .

[85]  Ilya V. Kolmanovsky,et al.  Towards combining nonlinear and predictive control of diesel engines , 2013, 2013 American Control Conference.

[86]  Luigi del Re,et al.  Predictive control of a real-world Diesel engine using an extended online active set strategy , 2007, Annu. Rev. Control..

[87]  Paul A. Trodden Robust distributed control of constrained linear systems , 2009 .

[88]  R. Skelton,et al.  A convexifying algorithm for the design of structured linear controllers , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[89]  Chris Manzie,et al.  Model Reduction of Turbocharged (TC) Spark Ignition (SI) Engines , 2011, IEEE Transactions on Control Systems Technology.

[90]  P. Olver Nonlinear Systems , 2013 .

[91]  J. Maciejowski,et al.  Feedback min‐max model predictive control using a single linear program: robust stability and the explicit solution , 2004 .

[92]  Giorgio Rizzoni,et al.  Identification of a Mean Value Model of a Modern Diesel Engine for Control Design , 2003 .

[93]  Kenneth R. Muske Steady-state target optimization in linear model predictive control , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[94]  Alberto Bemporad,et al.  Robust model predictive control: A survey , 1998, Robustness in Identification and Control.

[95]  I. Kolmanovsky,et al.  Issues in Modelling and Control of Intake Flow In Variable Geometry , 2009 .

[96]  Chris Manzie,et al.  Economic Model Predictive Control and Applications for Diesel Generators , 2017, IEEE Transactions on Control Systems Technology.

[97]  Emad Ali,et al.  On-line tuning strategy for model predictive controllers , 2001 .

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

[99]  Ilya V. Kolmanovsky,et al.  Control of variable geometry turbocharged diesel engines for reduced emissions , 2000, IEEE Trans. Control. Syst. Technol..

[100]  Stefan Pischinger,et al.  A Model Based Predictive Attempt to Control Boost Pressure and EGR-Rate in a Heavy Duty Diesel Engine , 2004 .

[101]  Evanghelos Zafiriou,et al.  On the Tuning of Nonlinear Model Predictive Control Algorithms , 1993, 1993 American Control Conference.

[102]  Alberto Bemporad,et al.  The explicit linear quadratic regulator for constrained systems , 2003, Autom..

[103]  A. Richards Robust Model Predictive Control for Time-Varying Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[104]  David Angeli,et al.  On Average Performance and Stability of Economic Model Predictive Control , 2012, IEEE Transactions on Automatic Control.

[105]  Lars Eriksson,et al.  Output Selection and Its Implications for MPC of EGR and VGT in Diesel Engines , 2013, IEEE Transactions on Control Systems Technology.

[106]  A. Richards,et al.  Robust Receding Horizon Control using Generalized Constraint Tightening , 2007, 2007 American Control Conference.

[107]  Jing Ou,et al.  CV damping versus MV suppression for MPC tuning , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[108]  Chris Manzie,et al.  Efficient calibration of real-time model-based controllers for diesel engines — Part I: Approach and drive cycle results , 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

[109]  Brett Ninness,et al.  Fast Linear Model Predictive Control Via Custom Integrated Circuit Architecture , 2012, IEEE Transactions on Control Systems Technology.

[110]  David Q. Mayne,et al.  Robustifying model predictive control of constrained linear systems , 2001 .

[111]  Sebastian Engell,et al.  Tuning MPC for desired closed-loop performance for MIMO systems , 2011, Proceedings of the 2011 American Control Conference.

[112]  Arthur G. Richards,et al.  Robust constrained model predictive control , 2005 .

[113]  R. Burnett,et al.  Ambient Air Pollution and Cancer Mortality in the Cancer Prevention Study II , 2017, Environmental health perspectives.

[114]  J. Maciejowski,et al.  Tuning MPC using H ∞ loop shaping , 2000 .

[115]  John B. Heywood,et al.  Internal combustion engine fundamentals , 1988 .

[116]  Basil Kouvaritakis,et al.  Stable generalized predictive control with constraints and bounded disturbances , 1997, Autom..

[117]  Rolf Findeisen,et al.  Nonlinear model predictive control of a turbocharged diesel engine , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[118]  Lino Guzzella,et al.  Introduction to Modeling and Control of Internal Combustion Engine Systems , 2004 .

[119]  M. Soroush,et al.  Model Predictive Control Tuning Methods: A Review , 2010 .

[120]  Henk J. Dekker,et al.  Simulation and Control of a HD Diesel Engine Equipped with New EGR Technology , 1996 .

[121]  Andrew G. Alleyne,et al.  Model predictive control: A unified approach for urea-based SCR systems , 2010 .

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

[123]  E. Hendricks,et al.  Mean Value Modelling of Turbocharged Spark Ignition Engines , 1998 .

[124]  Francesco Borrelli,et al.  Toward a Systematic Design for Turbocharged Engine Control , 2010 .

[125]  Peter Ortner,et al.  Multivariable Control Strategy Based on a Parameterized NMPC for a Diesel Engine Air Path , 2011 .