Linear Impulsive System Optimization Using Adaptive Dynamic Programming
This paper investigates the optimal control problem for linear impulsive systems with impulsive moments fixed. Based on adaptive dynamic programming(ADP), a numerical method is proposed to iteratively solve for this optimal impulsive control. The temporal difference of the value functions is used to determine whether the optimality has been achieved. A gradient based optimization is carried on to update the controller; The optimality principle is used to update the value function. When the optimality has been achieved, the controller output converges to the optimal impulsive control satisfying the optimality conditions. The convergence proof of this impulsive ADP algorithm is presented. Results of a scalar and a multi-variable linear impulsive systems are given in the simulation section for illustrative purpose. © 2012 IEEE.
X. Wang et al., "Linear Impulsive System Optimization Using Adaptive Dynamic Programming," 2012 12th International Conference on Control, Automation, Robotics and Vision, ICARCV 2012, Jan 2012.
The definitive version is available at http://dx.doi.org/10.1109/ICARCV.2012.6485247
2012 12th International Conference on Control, Automation, Robotics and Vision, ICARCV 2012 (2012, Guangzhou)
Mechanical and Aerospace Engineering
Article - Conference proceedings