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

Research output: Research - peer-reviewArticle

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.

LanguageEnglish
Pages148-156
Number of pages9
JournalInternational Journal of Computational and Mathematical Sciences
Volume3
Issue number4
StatePublished - Sep 2009
Externally publishedYes

Fingerprint

Nonlinear Control
Robust Control
Control System
Design
Class
Robust control
Control systems
Controller
Controllers
Jordan Form
Catastrophe theory
Matlab Simulation
Second-order Systems
Aircraft
Disturbance
Series
Motion
Range of data
Simulation
Form

Keywords

  • Catastrophes
  • Robust control
  • Simulation
  • Uncertain parameters

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

Cite this

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