Approach to design of robust control systems by structurally stable functions from catastrophe theory

Viktor Ten

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1655-1674
Number of pages20
JournalApplied Mathematical Sciences
Volume3
Issue number33-36
Publication statusPublished - Dec 1 2009

Keywords

  • Catastrophes
  • Control
  • Stabilization

ASJC Scopus subject areas

  • Applied Mathematics

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