Phase-constraints variation method for synthesis of nonlinear systems

The task of construction of robust control laws for different classes of nonlinear systems is considered. It is supposed, that the dependence on control can be additive and multiplicative. Constraints on parameters of a system and on variables are imposed. We have deficient information about disturbances, which have an effect on a system. The synthesis of the acceptable control law in view of the given requirements is carried out on the basis of a developed phase-constraints variation method. Necessary and sufficient conditions of solvability of a synthesis task are obtained according to the given method. The sets of analytical solutions corresponding to different classes of control systems are presented.