Synthesis of Control Systems Under Uncertainty Conditions (Game Theory)
For controlled plants, subjected to uncontrolled constrained (by specified a priori estimates) disturbances, whose precise parameter values are unknown and for which only their a priori estimates are specified in the form of their belonging to convex sets the minimax problem of cotrol synthesis is formulated. To improve the quality of control the adaptive approach to the solution of a control problem is used. By virtue of the adopted assumptions about the character of uncontrolled disturbances the identifcation procedure used for constructing the adaptive control system generates a sequence of guaranteed estimates of the vector of parameters in the form of its belonging to convex sets. The efficiency of the obtained control system is illustrated by the results of digital simulation.
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