The computer implementation of the tensor solution to the nonlinear optimal control problem
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Osullivan, J. A.↗
Engineering topics
Osullivan, J. A.
Publications and source records attributed to Osullivan, J. A..
Nonlinear feedback design: Optimal responses by tensor analysis
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Osullivan, J. A.↗
Nonlinear optimal control with tensors: Some computational issues
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Osullivan, J. A.↗
Nonlinear optimal control with tensors - Some computational issues
Some computational issues associated with the calcualtion of optimal feedback controls for nonlinear systems in a tensor setting are described. The specific issues addressed pertain to the combinatorial nature of the loading of the elements into tensors used to represent the system, cost, and feedback, and the subsequent calculations involving these elements. Particular attention is given to: the symmetric tensor algebra which is a natural setting for representing polynomials; the conversions between symmetric and nonsymmetric tensors; the general nature of the calculations required; and the solution equation for nonlinear optimal feedback control. It is concluded that nonlinear tensor feedback can improve performance both in terms of system responses and in terms of system stability region.
Osullivan, J. A.↗