Kuntanapreeda, SuwatDelavari, HadiBaleanu, DumitruFaieghi, Mohammad Reza2022-12-152025-09-182022-12-152025-09-182014Faieghi, Mohammad Reza...et al. (2014). "Robust stabilization of fractional-order chaotic systems with linear controllers: LMI-based sufficient conditions", JVC/Journal of Vibration and Control, Vol. 20, No. 7, pp. 1042-1051.1077-54631741-2986https://doi.org/10.1177/1077546312475151https://hdl.handle.net/20.500.12416/14474Kuntanapreeda, Suwat/0000-0002-5256-8875This paper is concerned with the problem of robust state feedback controller design to suppress fractional-order chaotic systems. A general class of fractional-order chaotic systems is considered and it is assumed that the systems' equations depend on bounded uncertain parameters. We transform the chaotic system equations into linear interval systems, and a sufficient stabilizability condition is derived in terms of linear matrix inequality (LMI). Then, an appropriate feedback gain is introduced to bring the chaotic states to the origin. Such design will result in a simple but effective controller. Several numerical simulations have been carried out to verify the effectiveness of the theoretic results.eninfo:eu-repo/semantics/closedAccessStability AnalysisFractional-Order Chaotic SystemChaos ControlLinear Interval SystemLinear Matrix InequalityArticle10.1177/10775463124751512-s2.0-84899057694