On Pseudospectral Methods of Nonlinear Optimal Control

Computational mathematics has long been recognized as a powerful tool to penetrate the barrier of nonlinearity and complexity of dynamical systems and it has become increasingly attractive to control theorists and engineers. The focus of this talk is on the Pseudospectral (PS) method for the optimal control of nonlinear systems subject to mixed state and control constraints. Originally developed as a method for large-scale fluid dynamics, PS methods have been rapidly developed during the last decade as an efficient approach in solving complicated optimal control problems. In this talk we will address the problems of feasibility, convergence, and the rate of convergence for PS optimal control methods. Some illustrative examples will also be presented.

Wei Kang, Naval Postgraduate School

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