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Regular version of the site

Article

Optimal control of nonlinear systems with separated linear part via quadratic criteria

Optimization Letters. 2018. Vol. V.12. P. 1-11.
Alexander P. Afanas’ev, Sergei M. D., Pchelintsev A. N., Putilina E. V.

We present a method for synthesis of optimal control with feedback of nonlinear systems with separated linear part via quadratic criteria. This method is based on a specialmethod of successive approximations, which allows, under standard assumptions, to find optimal control within any finite time interval and to get the procedure of its construction. An example is provided for applying this method for synthesis of control ofa system which is similar to Watt’s centrifugal governor.