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D-robust control by uncertain objects

Valeriy Afanasyev
Today the methods of the analysis of robust stability and robust stabilization of linear objects are the basis of the theory of robust control. Whereat not only one given linear system is investigated but also the stability of the entire family of systems fitting in initial (nominal) system with the ambiguity is examined. The tasks of control, as a rule, add up to the tasks of stabilization or optimal control without the given expiration time of the transient process. This allows to use frequency methods developed in the doctrines of automatic regulation. The using of these methods for the synthesis of control actions for uncertain systems in the given interval of control is impossible.
Using of minimax approach lets to receive of necessary and sufficient condition of the existence of d-robust control for one class of not linear not stationary systems.
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