IEEE Transactions on Neural Networks
Adaptive dynamic programming: an introduction
IEEE Computational Intelligence Magazine
Optimal control for boiler combustion system based on iterative heuristic dynamic programming
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Finite horizon optimal tracking control for a class of discrete-time nonlinear systems
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part II
Journal of Control Science and Engineering
Temperature control in water-gas shift reaction with adaptive dynamic programming
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part II
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part II
Optimal tracking control for a class of nonlinear time-delay systems with actuator saturation
BICS'13 Proceedings of the 6th international conference on Advances in Brain Inspired Cognitive Systems
Optimal tracking control scheme for discrete-time nonlinear systems with approximation errors
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part II
Neural network H∞ tracking control of nonlinear systems using GHJI method
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part II
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In this paper, we aim to solve the infinite-time optimal tracking control problem for a class of discrete-time nonlinear systems using the greedy heuristic dynamic programming (HDP) iteration algorithm. A new type of performance index is defined because the existing performance indexes are very difficult in solving this kind of tracking problem, if not impossible. Via system transformation, the optimal tracking problem is transformed into an optimal regulation problem, and then, the greedy HDP iteration algorithm is introduced to deal with the regulation problem with rigorous convergence analysis. Three neural networks are used to approximate the performance index, compute the optimal control policy, and model the nonlinear system for facilitating the implementation of the greedy HDP iteration algorithm. An example is given to demonstrate the validity of the proposed optimal tracking control scheme.