Sum of squares based nonlinear control design. Application to biodiesel engine

In this paper we develop a nonlinear controller based on sum of squares decomposition applied to turbocharged biodiesel engine. The basic idea is to employ polynomial Lyapunov function in order to formulate the stability sufficient conditions in the terms of state dependent matrix inequalities. The obtained controller gain regulates the flows for the Variable Geometry Turbocharger and the Exhaust Gas Recirculation systems in order to minimize the NOx emission and the smoke of diesel engine. SOS-based control has been simulated on experimental biodiesel testbed shows the effectiveness of this approach.

[1]  Abdel Aitouche,et al.  CLF-based nonlinear control design for turbocharged Diesel engine , 2013, 21st Mediterranean Conference on Control and Automation.

[2]  G. Chesi,et al.  LMI Techniques for Optimization Over Polynomials in Control: A Survey , 2010, IEEE Transactions on Automatic Control.

[3]  Lars Eriksson,et al.  Nonlinear EGR and VGT Control with Integral Action for Diesel Engines , 2011 .

[4]  M. Jankovic,et al.  Robust nonlinear controller for turbocharged diesel engines , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

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

[6]  Vadim I. Utkin,et al.  MULTIVARIABLE CONTROL DESIGN FOR INTAKE FLOW REGULATION OF A DIESEL ENGINE USING SLIDING MODE , 2002 .

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

[8]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  Ahmed El Hajjaji,et al.  Fuzzy robust tracking control with pole placement for a Turbocharged diesel engine , 2013, 21st Mediterranean Conference on Control and Automation.

[10]  P. Parrilo,et al.  Sum of Squares Optimization Toolbox for MATLAB User ’ s guide Version 2 . 00 June 1 , 2004 , 2004 .

[11]  John J. Moskwa,et al.  Turbocharged Diesel Engine Modeling for Nonlinear Engine Control and State Estimation , 1995 .

[12]  Jing Sun,et al.  Nonlinear charge control in direct injection gasoline engines , 2002 .

[13]  Qian Zheng.  Sum of Squares Based Nonlinear Control Design Techniques , 2009 .

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

[15]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

[16]  A. Papachristodoulou,et al.  Nonlinear control synthesis by sum of squares optimization: a Lyapunov-based approach , 2004, 2004 5th Asian Control Conference (IEEE Cat. No.04EX904).

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

[18]  Miroslaw Tomera.  Nonlinear controller design of a ship autopilot , 2010, Int. J. Appl. Math. Comput. Sci..

[19]  Ahmed El Hajjaji,et al.  Sum of squares based nonlinear control design for diesel engine , 2014, 22nd Mediterranean Conference on Control and Automation.