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Design of digital controllers for uncertain chaotic systems using fuzzy logic

Design of digital controllers for uncertain chaotic systems using fuzzy logic

Authors :
Ahmed Muhammed Almanasreh
Hani Amasha
Mohammad Ababneh
Source :
Journal of the Franklin Institute. 346:543-556
Publication Year :
2009
Publisher :
Elsevier BV, 2009.

Abstract

A new and systematic method to design digital controllers for uncertain chaotic systems with structured uncertainties is presented in this paper. Takagi–Sugeno (TS) fuzzy model is used to model the chaotic dynamic system, while the uncertainties are decomposed such that the uncertain chaotic system can be rewritten as a set of local linear models with an additional disturbed input. Conventional control techniques are utilized to develop the continuous-time controllers first. Then, the digital controllers are obtained as the digital redesign of the continuous-time controllers using the state-matching approach. The performance of the proposed controller design is illustrated through numerical examples.

Details

ISSN :
00160032
Volume :
346
Database :
OpenAIRE
Journal :
Journal of the Franklin Institute
Accession number :
edsair.doi...........23c058aa59970cd370d8aa7ae405d0f0
Full Text :
https://doi.org/10.1016/j.jfranklin.2009.02.002