The paper considers the solution of this problem for the most common motors in production now--an asynchronous traction motors (ATM) on the base of Hamilton-Jacobi-Bellman method.
Let us consider the representation of the train motion equation in the program-oriented form, which will allow to use it for determination of the optimal control laws according to the Hamilton-Jacobi-Bellman method.
Based on the Nash sub-game perfect equilibrium theory, they define an infinitesimal operator and directly derive an extended Hamilton-Jacobi-Bellman
Hamilton-Jacobi-Bellman equations and dynamic programming for power-maximizing relaxation of radiation.
Power-optimization of non-ideal energy converters under generalized convective heat transfer law via Hamilton-Jacobi-Bellman theory.
Nevertheless, numerical realization of optimal feedback strategies for nonlinear PDEs has barely been touched since the curse of dimensionality makes direct numerical treatment of the Hamilton-Jacobi-Bellman
Using the standard proof it is not difficult to obtain the associated Hamilton-Jacobi-Bellman (HJB) equation.
Then V satisfies the following Hamilton-Jacobi-Bellman equation:
of Saint Nicholas of Hidalgo) present a novel inverse optimal control for the stabilization and trajectory tracking of discrete-time nonlinear systems, that avoids the need to solve the associated Hamilton-Jacobi-Bellman
(HJB) equation and minimizes a cost functional.
En este caso, la condicion de Hamilton-Jacobi-Bellman del problema de control optimo estocastico de maximizacion de utilidad, sujeto a la restriccion presupuestal, esta dada por:
delta]t] se tiene que la ecuacion de Hamilton-Jacobi-Bellman se transforma en
After providing the background on neural networks and discrete-time adaptive control, he presents chapters discussing neural network control of nonlinear systems and feedback linearization, neural network control of uncertain nonlinear discrete-time systems with actuator nonlinearities, output feedback control of strict feedback nonlinear multiple input/multiple output discrete-time systems, neural network control of nonstrict feedback nonlinear systems, system identification using discrete-time neural networks, discrete-time model reference adaptive control, neural network control in discrete-time using Hamilton-Jacobi-Bellman
formulation, and neural network output feedback controller design and embedded hardware implementation.