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The computation of optimal singular bang-bang control I: Linear systems

✍ Scribed by T. F. Edgar; L. Lapidus


Publisher
American Institute of Chemical Engineers
Year
1972
Tongue
English
Weight
721 KB
Volume
18
Category
Article
ISSN
0001-1541

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To avoid difficulties associated with the computation of optimal singular/bang-bang controls, a common approach is to add a perturbed energy term. The efficacy of this perturbation method is assessed here via a direct search iterative dynamic programming procedure. A potential limitation of the stra

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## Abstract It has been common practice to find controls satisfying only necessary conditions for optimality, and then to use these controls assuming that they are (locally) optimal. However, sufficient conditions need to be used to ascertain that the control rule is optimal. Second order sufficien

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## Abstract A method for finding the optimal control of linear singular systems with a quadratic cost functional using piecewise linear polynomial functions is discussed. The state variable, state rate, and the control vector are expanded in piecewise linear polynomial functions with unknown coeffi