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

Viktor Ten

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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. 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.

Original languageEnglish
Title of host publicationProceedings of the 28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009
Pages133-138
Number of pages6
Publication statusPublished - Dec 1 2009
Event28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009 - Innsbruck, Austria
Duration: Feb 16 2009Feb 18 2009

Publication series

NameProceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC
ISSN (Print)1025-8973

Other

Other28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009
CountryAustria
CityInnsbruck
Period2/16/092/18/09

Keywords

  • Modelling
  • Non-linear control
  • Robust control
  • Stability

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Computer Science Applications

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