Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
Automatica (Journal of IFAC)
Approximate solutions to the time-invariant Hamilton-Jacobi-Bellman equation
Journal of Optimization Theory and Applications
Solving Hamilton-Jacobi-Bellman equations by a modified method of characteristics
Nonlinear Analysis: Theory, Methods & Applications - Lakshmikantham's Legacy: A tribute on his 75th birthday
Control Systems Theory with Engineering Applications
Control Systems Theory with Engineering Applications
Neural Network Control of Robot Manipulators and Nonlinear Systems
Neural Network Control of Robot Manipulators and Nonlinear Systems
Brief Intelligent optimal control of robotic manipulators using neural networks
Automatica (Journal of IFAC)
Editorial: Introduction to the special issue on neural network feedback control
Automatica (Journal of IFAC)
Neural approximations for infinite-horizon optimal control of nonlinear stochastic systems
IEEE Transactions on Neural Networks
A perceptron network for functional identification and control of nonlinear systems
IEEE Transactions on Neural Networks
Brief paper: A neural network solution for fixed-final time optimal control of nonlinear systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Neural network solution for finite-horizon H∞ state feedback control of nonlinear systems
International Journal of Systems Science
Brief paper: Adaptive optimal control for continuous-time linear systems based on policy iteration
Automatica (Journal of IFAC)
IEEE Transactions on Neural Networks
Reinforcement learning and adaptive dynamic programming for feedback control
IEEE Circuits and Systems Magazine
Constrained controller design for a class of nonlinear discrete-time uncertain systems
ACC'09 Proceedings of the 2009 conference on American Control Conference
Online actor critic algorithm to solve the continuous-time infinite horizon optimal control problem
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Generalized policy iteration for continuous-time systems
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Non-fragile control of uncertain Markovian jumping linear systems subject to actuator saturation
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Direct heuristic dynamic programming for nonlinear tracking control with filtered tracking error
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Adaptive dynamic programming: an introduction
IEEE Computational Intelligence Magazine
Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem
Automatica (Journal of IFAC)
Optimal control for a class of unknown nonlinear systems via the iterative GDHP algorithm
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part II
Automatica (Journal of IFAC)
A radial basis collocation method for Hamilton-Jacobi-Bellman equations
Automatica (Journal of IFAC)
Controller design for Markov jumping systems subject to actuator saturation
Automatica (Journal of IFAC)
Adaptive optimal control without weight transport
Neural Computation
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part II
Information Sciences: an International Journal
Automatica (Journal of IFAC)
Case studies on the application of the stable manifold approach for nonlinear optimal control design
Automatica (Journal of IFAC)
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part I
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 | 22.17 |
The Hamilton-Jacobi-Bellman (HJB) equation corresponding to constrained control is formulated using a suitable nonquadratic functional. It is shown that the constrained optimal control law has the largest region of asymptotic stability (RAS). The value function of this HJB equation is solved for by solving for a sequence of cost functions satisfying a sequence of Lyapunov equations (LE). A neural network is used to approximate the cost function associated with each LE using the method of least-squares on a well-defined region of attraction of an initial stabilizing controller. As the order of the neural network is increased, the least-squares solution of the HJB equation converges uniformly to the exact solution of the inherently nonlinear HJB equation associated with the saturating control inputs. The result is a nearly optimal constrained state feedback controller that has been tuned a priori off-line.