论文信息 - SCOP: A sequential constraint-free optimal control problem algorithm

SCOP: A sequential constraint-free optimal control problem algorithm

In this paper, we propose a new computational algorithm for optimal control problems with a scalar state subject to simple-bound constraints. Unlike multiple shooting algorithms, the number of active constraints does not need to be known in advance. This method is also much faster than dynamic programming. Convergence is proved for two particular cases. SCOP is applied for an optimization problem of fuel consumption for a hybrid vehicle.

[1] Dimitri P. Bertsekas,et al. Dynamic Programming and Optimal Control, Two Volume Set , 1995 .

[2] Arthur E. Bryson,et al. Applied Optimal Control , 1969 .

[3] J. F. Bonnans,et al. STABILITY AND SENSITIVITY ANALYSIS FOR OPTIMAL CONTROL PROBLEMS WITH A FIRST-ORDER STATE CONSTRAINT AND APPLICATION TO CONTINUATION METHODS , 2008 .

[4] Michel André,et al. The ARTEMIS European driving cycles for measuring car pollutant emissions. , 2004, The Science of the total environment.

[5] J. F. Bonnans,et al. Stability and Sensitivity Analysis for Optimal Control Problems with a First-order State Constraint having (nonessential) Touch Points , 2005 .

[6] J. Frédéric Bonnans,et al. Well-Posedness of the Shooting Algorithm for State Constrained Optimal Control Problems with a Single Constraint and Control , 2007, SIAM J. Control. Optim..

[7] Suresh P. Sethi,et al. A Survey of the Maximum Principles for Optimal Control Problems with State Constraints , 1995, SIAM Rev..

[8] G. Rousseau,et al. Constrained Optimization of Energy Management for a Mild-Hybrid Vehicle , 2007 .

[9] Lino Guzzella,et al. Vehicle Propulsion Systems: Introduction to Modeling and Optimization , 2005 .

[10] Lino Guzzella,et al. A Real-Time Optimal Control Strategy for Parallel Hybrid Vehicles with On-Board Estimation of the Control Parameters , 2004 .