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

Viktor Ten

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

Viktor Ten

National Laboratory Astana

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Proceedings of the 28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009
Pages	133-138
Number of pages	6
Publication status	Published - Dec 1 2009
Event	28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009 - Innsbruck, Austria Duration: Feb 16 2009 → Feb 18 2009

Publication series

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

Other

Other	28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009
Country	Austria
City	Innsbruck
Period	2/16/09 → 2/18/09

Keywords

Modelling
Non-linear control
Robust control
Stability

ASJC Scopus subject areas

Software
Modelling and Simulation
Computer Science Applications

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

Proceedings of the 28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009. 2009. p. 133-138 (Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ten, V 2009, Design of nonlinear robust control in a class of structurally stable catastrophe-functions. in Proceedings of the 28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009. 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.

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