Design of Nonlinear Robust Control in a Class of Structurally Stable Catastrophe-Functions

V. Ten (Russia)


Robust Control, Non-Linear Control, Stability,Modelling.


An approach of design of stable of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers. Analysis of designed nonlinear second-order control systems is offered. As more important the integrators in series, canonical controllable form and Jordan forms are considered. The analysis resumes that due to added controllers systems become stable and insensitive to any disturbance of parameters. The results of MATLAB simulation of design of control systems of epidemic spread with linear and nonlinear dynamic plants are given. The results of simulation confirm the efficiency of offered method of design.

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