Abstract
Researches in the last six years have made possible a new computational approach to problems of nonlinear optimal feedback control. Recursive equations for the terms in expansions of optimal value functions and optimal feedback control laws have been determined, and have been parameterized in terms of the algebraic tensor. The first numerical results based upon these new theories were reported by the authors in 1984. Here, they describe some computational issues associated with the calculation of optimal feedback controls for nonlinear systems in a tensor setting. The specific issues addressed pertain to the combinatorial nature of the loading of the elements into the tensors used to represent the system, cost, and feedback and the subsequent calculations involving those elements.
| Original language | English |
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| Pages (from-to) | 1600-1605 |
| Number of pages | 6 |
| Journal | Proceedings of the American Control Conference |
| State | Published - 1985 |