Optimal feedback control of non-linear systems

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Abstract
A fundamental method to solve functional optimization control problems is achieved through Hamilton-Jacobi theory. This method leads to feedback laws satisfying the HJB equation in a sense. On the basis of this approach, a design technique, applicable to a large class of optimization problems, is described. The technique is developed for systems of vth order. An example demonstrates the effectiveness of the determined controller to stabilize the inverted pendulum.

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