Design of nonlinear robust control in a class of structurally stable functions

V. Ten

Research output: Contribution to journalArticle

Abstract

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. Theoretical 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 control systems of epidemic spread, aircraft's angular motion and submarine depth. The results of simulation confirm the efficiency of offered method of design.

Original languageEnglish
Pages (from-to)148-156
Number of pages9
JournalInternational Journal of Computational and Mathematical Sciences
Volume3
Issue number4
Publication statusPublished - Sep 1 2009

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Keywords

  • Catastrophes
  • Robust control
  • Simulation
  • Uncertain parameters

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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