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Erschienen in:
2019 | OriginalPaper | Buchkapitel
On Estimates of the Solutions of Inverse Problems of Optimal Control
verfasst von : Evgenii A. Krupennikov
Erschienen in: Mathematical Optimization Theory and Operations Research
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Abstract
This paper is devoted to the problem of reconstruction of the normal control generating a realized trajectory of a dynamic control system by using known inaccurate measurements of this trajectory. A class of dynamic control systems with dynamics linear in controls and non-linear in state coordinates is considered. A new method, suggested in earlier publications, for solving such problems is discussed. This approach relies on necessary optimality conditions in an auxiliary variational problem on extremum of an integral discrepancy functional. The distinguishing feature of the method is using a functional which is convex in control variables and concave in state variables discrepancy. This form of the functional allows to obtain oscillating solutions. In this paper the estimates of the error of the discussed method are exposed and validated.