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

Research output: ResearchConference 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.

LanguageEnglish
Title of host publicationProceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC
Pages133-138
Number of pages6
StatePublished - 2009
Externally publishedYes
Event28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009 - Innsbruck, Austria
Duration: Feb 16 2009Feb 18 2009

Other

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

Fingerprint

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

Keywords

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

ASJC Scopus subject areas

  • Computer Science Applications
  • Software
  • Modelling and Simulation

Cite this

Ten, V. (2009). Design of nonlinear robust control in a class of structurally stable catastrophe-functions. In Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC (pp. 133-138)

Design of nonlinear robust control in a class of structurally stable catastrophe-functions. / Ten, Viktor.

Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. 2009. p. 133-138.

Research output: ResearchConference contribution

Ten, V 2009, Design of nonlinear robust control in a class of structurally stable catastrophe-functions. in Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. pp. 133-138, 28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009, Innsbruck, Austria, 2/16/09.
Ten V. Design of nonlinear robust control in a class of structurally stable catastrophe-functions. In Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. 2009. p. 133-138.
Ten, Viktor. / Design of nonlinear robust control in a class of structurally stable catastrophe-functions. Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. 2009. pp. 133-138
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