The envelope approach for multiobjective optimization problems
IEEE Transactions on Systems, Man and Cybernetics
Multiple-criterion control: a convex programming approach
Automatica (Journal of IFAC)
Adaptive critic designs: a case study for neurocontrol
Neural Networks
Vector-Valued Optimization Problems in Control Theory
Vector-Valued Optimization Problems in Control Theory
Brief paper: A neural network solution for fixed-final time optimal control of nonlinear systems
Automatica (Journal of IFAC)
A new fuzzy identification method based on adaptive critic designs
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
A fuzzy basis function vector-based multivariable adaptivecontroller for nonlinear systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Adaptive Critic Designs for Discrete-Time Zero-Sum Games With Application to Control
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Adaptive differential dynamic programming for multiobjective optimal control
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Online learning control by association and reinforcement
IEEE Transactions on Neural Networks
Helicopter trimming and tracking control using direct neural dynamic programming
IEEE Transactions on Neural Networks
Adaptive dynamic programming: an introduction
IEEE Computational Intelligence Magazine
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
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part II
Automatica (Journal of IFAC)
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
Hi-index | 0.02 |
In this paper, a forward-in-time optimal control method for a class of discrete-time nonlinear systems with general multiobjective performance indices is proposed with unknown system dynamics. The proposed approximate dynamic programming (ADP) method aims to find out the increments of both the controls and states instead of computing the controls and states directly. Using the technique of dimension augment, the vector-valued performance indices are transformed into additive quadratic form which satisfies the corresponding discrete-time algebraic Riccati equation (DTARE). Both the action and critic networks can be adaptively tuned by adaptive critic methods without the information of the system model. The convergence property is guaranteed by a rigorous mathematical proof and finally the simulation results show the effectiveness of the method.