Decomposition synthesis of invariant systems with nonlinear local feedbacks

Abstract

In this paper, the procedure of feedback decomposition synthesis, providing stabilization of output variables with the given accuracy is developed for a nonlinear control plant which model contains external unmatched disturbances and is presented in the input-output block form with stable inner dynamic. The approach provides restrictions on state variables during a control process by using smooth, bounded S-shaped sigma-functions as local feedbacks and does not require parametric certainty of the control plant and introduction of dynamic models of external disturbances.