Semi-global enlargement of domain of attraction for a class of affine nonlinear systems

Farzad Hashemzadeh*, Mohammad Yazdanpanah

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

8 Citations (Scopus)

Abstract

In this paper, a new approach to enlarge the domain of attraction of a nonlinear affine system based on Zubov Theorem is suggested. The affine systems which are studied in this paper some times have some constraints that coping with them are difficult. The proposed approach may alleviate these difficulties by introducing an extended controller design methodology. The controller can extend the domain of attraction as an n-dimensional ellipsoid in a way that the diameters of ellipsoid, may be used as the tuning factors for shaping and enlarging it as much as possible. In this approach, the ratios of diameters are not crucial. In other words, it is possible to stretch the domain of attraction along some directions and compress it along the others. The simulation results on the Van der Pole system and two case studies, namely, a vehicle dynamics and an inverted pendulum show the efficiency of the method.

Original languageEnglish
Pages2257-2262
Number of pages6
DOIs
Publication statusPublished - 2006
Externally publishedYes
Event2006 IEEE International Conference on Control Applications, CCA 2006 - Munich, Germany
Duration: 4 Oct 20066 Oct 2006

Conference

Conference2006 IEEE International Conference on Control Applications, CCA 2006
Country/TerritoryGermany
CityMunich
Period4/10/066/10/06

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