LPV Control for the Air Path System of Diesel Engines

This paper addresses the gain scheduled Hinfin control issue for the air path system of diesel engines. The air path system is modeled as a linear parameter varying (LPV) system, where the system matrices are dependent on two exogenous variables: the engine speed and the turbine vane position. The open loop frequency property is presented as well as the detailed synthesis procedure of the gain scheduled controller such as the weighting function selection and design. A comparative study between the gain scheduled LPV control and the Hinfin control is investigated. Simulation results are shown to demonstrate the effectiveness of the gain scheduled LPV controller.

[1]  W. Rugh,et al.  Input-output pseudolinearization for nonlinear systems , 1994, IEEE Trans. Autom. Control..

[2]  Jiankun Hu,et al.  Systematic H∞ weighting function selection and its application to the real-time control of a vertical take-off aircraft , 2000 .

[3]  Panagiotis Tsiotras,et al.  SELF-SCHEDULED H1 CONTROLLERS FOR MAGNETIC BEARINGS , 2004 .

[4]  Athanasios Sideris,et al.  H ∞ control with parametric Lyapunov functions , 1997 .

[5]  Gary J. Balas,et al.  LPV control design for pitch-axis missile autopilots , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[6]  Michael Athans,et al.  Analysis of gain scheduled control for nonlinear plants , 1990 .

[7]  Wilson J. Rugh,et al.  Gain scheduling for H-infinity controllers: a flight control example , 1993, IEEE Trans. Control. Syst. Technol..

[8]  Fen Wu,et al.  A generalized LPV system analysis and control synthesis framework , 2001 .

[9]  Merten Jung,et al.  Mean-value modelling and robust control of the airpath of a turbocharged diesel engine , 2003 .

[10]  Fen Wu Switching LPV control design for magnetic bearing systems , 2001, Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204).

[11]  Pierre Apkarian,et al.  Advanced gain-scheduling techniques for uncertain systems , 1998, IEEE Trans. Control. Syst. Technol..

[12]  Pierre Apkarian,et al.  Self-scheduled H∞ control of linear parameter-varying systems: a design example , 1995, Autom..

[13]  Bei Lu,et al.  Switching LPV Control for High Performance Tactical Aircraft , 2004 .

[14]  Peng-Yung Woo,et al.  Gain Scheduled LPV H∞ Control Based on LMI Approach for a Robotic Manipulator , 2002, J. Field Robotics.

[15]  Gary J. Balas,et al.  Linear, parameter‐varying control and its application to a turbofan engine , 2002 .

[16]  Fen Wu,et al.  Induced L2‐norm control for LPV systems with bounded parameter variation rates , 1996 .

[17]  P. Gahinet,et al.  A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..

[18]  P. Gahinet,et al.  A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..

[19]  Carsten W. Scherer,et al.  LPV control and full block multipliers , 2001, Autom..

[20]  Karolos M. Grigoriadis,et al.  LPV Systems with parameter-varying time delays: analysis and control , 2001, Autom..

[21]  Jeff S. Shamma,et al.  Gain-Scheduled Missile Autopilot Design Using Linear Parameter Varying Transformations , 1993 .

[22]  Xiukun Wei,et al.  Modeling and control of the boost pressure for a diesel engine based on LPV techniques , 2006, 2006 American Control Conference.

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