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Design of a Sliding Mode Controller to Eliminate the Limit Cycle in Chaotic Van der Pol System in Comparison with State Feedback Controllers

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dc.contributor.author AHMAD, Shahzad
dc.contributor.author YASIN, Abdul Rehman
dc.contributor.author PLESCA, Adrian
dc.contributor.author YOUNIS, Usman
dc.date.accessioned 2019-11-19T08:58:13Z
dc.date.available 2019-11-19T08:58:13Z
dc.date.issued 2017
dc.identifier.citation AHMAD, Shahzad, YASIN, Abdul Rehman, PLESCA, Adrian et al. Design of a Sliding Mode Controller to Eliminate the Limit Cycle in Chaotic Van der Pol System in Comparison with State Feedback Controllers [Resursă electronică]. In: SIELMEN 2017: Proceedings of the 11-th international conference on electromechanical and power systems, 11-13 octombrie, 2017. Chișinău, 2017, pp. 057-062. ISBN 978-1-5386-1846-2. en_US
dc.identifier.isbn 978-1-5386-1846-2
dc.identifier.uri http://repository.utm.md/handle/5014/7013
dc.description Abstract & References en_US
dc.description.abstract In this paper sliding mode controller is designed in comparison with the linear state space feedback controllers namely the pole placement controller and linear quadratic regulator to eliminate the chaotic limit cycle oscillations in Van der Pol system induced by an external sinusoidal excitation in order to avoid failure in physical structures. The controller design is based on the mathematical model of the Van der Pol oscillator presented in this paper. The sliding mode controller is robust in chaotic motion as it achieves global asymptotic stability about an unstable equilibrium point which is the origin in contrast to the state feedback controllers which fail to achieve asymptotic stability about the origin. The lyapunov stability of the system is proved to ensure that the system hits the sliding surface in a global asymptotic sense. The sliding dynamics of the sliding surface is proved to exhibit finite time convergence to the origin. The dynamics of the sliding surface is examined for three different conditions of sliding surface coefficients. The validity of the design is verified through MATLAB /Simulink based simulations. en_US
dc.language.iso en en_US
dc.publisher Institute of Electrical and Electronics Engineers en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject сontrollers en_US
dc.subject sliding mode controls en_US
dc.subject Lyapunov stability en_US
dc.subject asymptotic stability en_US
dc.title Design of a Sliding Mode Controller to Eliminate the Limit Cycle in Chaotic Van der Pol System in Comparison with State Feedback Controllers en_US
dc.type Article en_US


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  • 2017
    11-13 Oct. 2017

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Attribution-NonCommercial-NoDerivs 3.0 United States Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States

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