Nonlinear internal model controller design for wastegate control of a turbocharged gasoline engine

Abstract Internal Model Control (IMC) has a great appeal for automotive powertrain control in reducing the control design and calibration effort. Motivated by its success in several automotive applications, this work investigates the design of nonlinear IMC for wastegate control of a turbocharged gasoline engine. The IMC design for linear time-invariant (LTI) systems is extended to nonlinear systems. To leverage the available tools for LTI IMC design, the quasi-linear parameter-varying (quasi-LPV) models are explored. IMC design through transfer function inverse of the quasi-LPV model is ruled out due to parameter variability. A new approach for nonlinear inversion, referred to as the structured quasi-LPV model inverse, is developed and validated. A fourth-order nonlinear model which sufficiently describes the dynamic behavior of the turbocharged engine is used as the design model in the IMC structure. The controller based on structured quasi-LPV model inverse is designed to achieve boost-pressure tracking. Finally, simulations on a validated high-fidelity model are carried out to show the feasibility of the proposed IMC. Its closed-loop performances are compared with a well-tuned PI controller with extensive feedforward and anti-windup built in. Robustness of the nonlinear IMC design is analyzed using simulations.

[1]  Muhammad Shafiq.  Internal model control structure using adaptive inverse control strategy. , 2005 .

[2]  Mrdjan Jankovic,et al.  Nonlinear internal model controller design for wastegate control of a turbocharged gasoline engine , 2014, 2014 American Control Conference.

[3]  James C. Hung,et al.  Internal Model Control , 2011, Control and Mechatronics.

[4]  G. Irwin,et al.  Nonlinear internal model control using local model networks , 1997 .

[5]  Hannu T. Toivonen,et al.  Internal model control of nonlinear systems described by velocity-based linearizations , 2003 .

[6]  Amey Y. Karnik,et al.  Electronic throttle and wastegate control for turbocharged gasoline engines , 2005, Proceedings of the 2005, American Control Conference, 2005..

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

[8]  Sylvie Galichet,et al.  Fuzzy Nonlinear Adaptive Internal Model Control (FNAIMC) , 2001, Eur. J. Control.

[9]  Lars Eriksson,et al.  Wastegate Actuator Modeling and Model-Based Boost Pressure Control , 2009 .

[10]  M. Morari,et al.  Internal model control: PID controller design , 1986 .

[11]  Yaman Arkun,et al.  Feedforward and feedback linearization of nonlinear system and its implementation using internal model control (IMC) , 1988 .

[12]  M. A. Henson,et al.  An internal model control strategy for nonlinear systems , 1991 .

[13]  Rainer Nitsche,et al.  Diesel Boost Pressure Control using Flatness-Based Internal Model Control , 2006 .

[14]  Lino Guzzella,et al.  Gain-scheduled model-based feedback control of the air/fuel ratio in diesel engines , 2009 .

[15]  Martin von Mohrenschildt,et al.  Symbolic Verification of Hybrid Systems: An Algebraic Approach , 2001, Eur. J. Control.

[16]  Javad Mohammadpour,et al.  Internal model control design for linear parameter varying systems , 2013, 2013 American Control Conference.

[17]  J. Lunze,et al.  Pressure control of a two-stage turbocharged diesel engine using a novel nonlinear IMC approach , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[18]  Ahmad B. Rad,et al.  Fuzzy adaptive internal model control , 2000, IEEE Trans. Ind. Electron..

[19]  Daniel Sbarbaro,et al.  Neural Networks for Nonlinear Internal Model Control , 1991 .

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

[21]  M. Morari,et al.  Internal Model Control: extension to nonlinear system , 1986 .

[22]  R. Hirschorn.  Invertibility of Nonlinear Control Systems , 1979 .

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

[24]  Aniruddha Datta.  Adaptive Internal Model Control , 1998 .

[25]  P. Moulin,et al.  Modelling and control of the air system of a turbocharged gasoline engine , 2008 .

[26]  Mrdjan Jankovic,et al.  IMC based wastegate control using a first order model for turbocharged gasoline engine , 2012, 2012 American Control Conference (ACC).

[27]  Wilson J. Rugh,et al.  Research on gain scheduling , 2000, Autom..