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An approach to stabilization of control systems with ultimately wide rangesof uncertainly disturbed parameters is offered. The method relies on using ofnonlinear structurally stable functions from catastrophe theory as controllers.Analytical part presents an analysis of designed nonlinear second-order controlsystems. As more important the integrators in series, canonical controllableform and Jordan forms are considered. The analysis resumes that due to addedcontrollers systems become stable and insensitive to any disturbance ofparameters. Experimental part presents MATLAB simulation of design of possiblecontrol systems on the examples of epidemic spread, angular motion of aircraftand submarine depth. The results of simulation confirm the efficiency ofoffered method of design.

Approach to design of Nonlinear Robust Control in a Class of Structurally Stable Functions