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Approximate synthesis of the optimal control in a degenerate problem of the analytic construction of controllers. (English. Russian original) Zbl 1063.49508

Autom. Remote Control 60, No. 12, Part 1, 1686-1699 (1999); translation from Avtom. Telemekh. 1999, No. 12, 16-32 (1999).
Summary: The problem of analytic construction of optimal controllers for nonlinear objects is considered. In order to develop a method associated with the minimization of the generalized work functional, we propose transforming the original problem to a degenerate one, and choose a suitable strategy of its solution, such as the construction of minimizing sequences that converge interval-wise to the optimal process of the original problem. An illustrative example is given.

MSC:

49N35 Optimal feedback synthesis
93B50 Synthesis problems
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