A pseudospectral method for solving optimal control problem of a hybrid tracked vehicle

This study explored the feasibility of using the Radau pseudospectral method (RPM) to optimize the energy management strategy for a hybrid tracked vehicle. The engine–generator set and the battery pack of the serial hybrid tracked vehicle were modeled and validated through the bench test. A DC-DC converter was equipped between the battery pack and the DC bus in this hybrid powertrain, which increased the flexibility of energy distribution between the engine–generator set and the battery. It was simplified as a voltage regulator in the hybrid powertrain model. The power demand during the vehicle operation was calculated according to the vehicle dynamics and driving schedules. The optimal control problem was formulated to minimize the fuel consumption through regulating the power distribution properly between the engine–generator set and battery pack during a typical driving schedule. The RPM was applied to transform the optimal control problem to a finite-dimensional constrained nonlinear programming problem. A comparison of the solutions from RPM and dynamic programming showed that the former offers the higher computation efficiency and better fuel economy.

[1]  Lino Guzzella,et al.  Optimal Control of Diesel Engines: Numerical Methods, Applications, and Experimental Validation , 2014 .

[2]  Donald E. Kirk,et al.  Optimal control theory : an introduction , 1970 .

[3]  Xiaosong Hu,et al.  Combined Optimal Sizing and Control for a Hybrid Tracked Vehicle , 2012 .

[4]  Guillermo R. Bossio,et al.  Supervisory control of an HEV using an inventory control approach , 2006 .

[5]  John T. Betts A direct approach to solving optimal control problems , 1999, Computing in Science & Engineering.

[6]  Jo Yung Wong,et al.  Theory of ground vehicles , 1978 .

[7]  M. Ouyang,et al.  Approximate Pontryagin’s minimum principle applied to the energy management of plug-in hybrid electric vehicles , 2014 .

[8]  Fariba Fahroo,et al.  Optimal feedback control laws by Legendre pseudospectral approximations , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[9]  Richard Nederhoed,et al.  Development and Testing of Series Hybrid Drive Vehicles for Military Applications , 2009 .

[10]  Kenneth Kreutz-Delgado,et al.  Numerical solution of nonlinear 𝒽2 and 𝒽∞ control problems with application to jet engine compressors , 2000, IEEE Trans. Control. Syst. Technol..

[11]  J.T. Betts,et al.  Direct transcription solution of inequality constrained optimal control problems , 2004, Proceedings of the 2004 American Control Conference.

[12]  J. Butcher Numerical methods for ordinary differential equations , 2003 .

[13]  Stephen L. Campbell,et al.  Initialization of direct transcription optimal control software , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[14]  Xiaosong Hu,et al.  Comparison of power-split and parallel hybrid powertrain architectures with a single electric machine: Dynamic programming approach , 2016 .

[15]  W. Hager,et al.  An hp‐adaptive pseudospectral method for solving optimal control problems , 2011 .

[16]  Bo Cheng,et al.  Legendre Pseudospectral Computation of Optimal Speed Profiles for Vehicle Eco-Driving System * , 2014 .

[17]  Simona Onori,et al.  A Comparative Analysis of Energy Management Strategies for Hybrid Electric Vehicles , 2011 .

[18]  Huei Peng,et al.  Energy management strategy for a parallel hybrid electric truck , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[19]  Victor M. Becerra,et al.  Solving complex optimal control problems at no cost with PSOPT , 2010, 2010 IEEE International Symposium on Computer-Aided Control System Design.

[20]  Zhang Chengning Dual-Motor Driving Electric Tracked Vehicle Speed-Regulating Control Strategy , 2007 .

[21]  R. Govarthanan,et al.  Modeling and Dynamic Simulation of IC Engine Driven Permanent Magnet Generator Using Matlab/Simulink for Hybrid Tracked Vehicle , 2006, 2006 IEEE Conference on Electric and Hybrid Vehicles.

[22]  Elvio A. Pilotta,et al.  Optimal power split in a hybrid electric vehicle using direct transcription of an optimal control problem , 2009, Math. Comput. Simul..

[23]  E. Hairer,et al.  Stiff differential equations solved by Radau methods , 1999 .

[24]  Jianqiu Li,et al.  Optimization for a hybrid energy storage system in electric vehicles using dynamic programing approach , 2015 .

[25]  Xiaosong Hu,et al.  Longevity-conscious dimensioning and power management of the hybrid energy storage system in a fuel cell hybrid electric bus , 2015 .

[26]  Michael A. Saunders,et al.  SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization , 2002, SIAM J. Optim..

[27]  Guenter H. Hohl Military terrain vehicles , 2007 .

[28]  Huei Peng,et al.  Comparative Study of Dynamic Programming and Pontryagin’s Minimum Principle on Energy Management for a Parallel Hybrid Electric Vehicle , 2013 .

[29]  William W. Hager,et al.  A unified framework for the numerical solution of optimal control problems using pseudospectral methods , 2010, Autom..

[30]  Jonas Sjöberg,et al.  Component sizing of a plug-in hybrid electric powertrain via convex optimization , 2012 .

[31]  Daniel F. Opila,et al.  Real-Time Implementation and Hardware Testing of a Hybrid Vehicle Energy Management Controller Based on Stochastic Dynamic Programming , 2013 .

[32]  Yuan Zou,et al.  Optimal energy management strategy for hybrid electric tracked vehicles , 2012 .