An approach to stabilization of control systems with wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers. Analytical part presents an analysis of designed nonlinear second-order control systems. 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. Experimental part presents MATLAB simulation of design of possible control systems on the examples of angular motion of aircraft as linear case and dynamics of double pendulum as nonlinear. The results of simulation confirm the efficiency of offered method of design. Case of experiments with double pendulum allows to achieve stable oscillations.
|Number of pages||20|
|Journal||Applied Mathematical Sciences|
|Publication status||Published - Dec 1 2009|
ASJC Scopus subject areas
- Applied Mathematics