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New stabilization conditions for continuous fuzzy models using their discretized forms

International Journal of Intelligent Computing and Cybernetics 2014年第4期7卷 397-414页

作者： Ellouze Ameni Mohamed Ksantini jimmy lauber Francois Delmotte Mohamed Chtourou Department of Electrical Engineering University of SfaxSfaxTunisia University of Valenciennes and Hainaut-Cambre´sis ValenciennesFrance University of Artois Technoparc Futura BethuneFrance

Purpose–The purpose of this paper is to deal with the stabilization of the continuous-time TakagiSugeno(TS)fuzzy models by using their discretized ***/methodology/approach–In this case,a discrete model is obtained from the discretization of the continuous TS fuzzy *** gains obtained from a non-parallel distributed compensation controller ensuring the stabilization of the discrete model are used to check if the discrete control law used in the continuous time without any zero-order hold can stabilize the continuous TS ***–This method is compared to another published ***/value–Therefore,the originality of this paper consists in the fusion of the two continuous and discrete cases to obtain new stabilization conditions in the continuous *** examples show the interest of the proposed approach.

关键词： Nonlinear control Fuzzy logic LMI Continuous-time T-S fuzzy models Discrete T-S models Discretization Nonquadratic Lyapunov functions Non-PDC control laws Stabilization

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Decay rate performance approach for stabilization continuous fuzzy models using their discretized forms

引用

International Journal of Intelligent Computing and Cybernetics 2015年第4期8卷 383-400页

作者： Ameni Ellouze François Delmotte jimmy lauber Mohamed Chtourou Mohamed Ksantini Department of Electrical Engineering National School of Engineers of SfaxUniversity of SfaxSfaxTunisia University of Lille LilleFrance and University of Artois Technoparc FuturaBethuneFrance University of Valenciennes and Hainaut-Cambrésis ValenciennesFrance

Purpose–The purpose of this paper is to deal with the stabilization of the continuous Takagi Sugeno(TS)fuzzy models using their discretized forms based on the decay rate performance ***/methodology/approach–This approach is structured as follows:first,a discrete model is obtained from the discretization of the continuous TS fuzzy *** discretized model is obtained from the Euler approximation method which is used for several ***,based on the decay rate stabilization conditions,the gains of a non-PDC control law ensuring the stabilization of the discrete model are *** by keeping the values of the gains,the authors determine the values of the performance criterion and the authors check by simulation the stability of the continuous TS fuzzy models through the zero order ***–The proposed idea lead to compare the performance continuous stability results with the *** comparison is,also,taken between the quadratic and non-quadratic ***/value–Therefore,the originality of this paper consists in the improvement of the continuous fuzzy models by using their discretized *** this case,the effect of the discretization step on the performances of the continuous TS fuzzy models is *** usefulness of this approach is shown through two examples.

关键词： Non-linear control Stabilization Continuous Takagi Sugeno(TS)fuzzy models Decay rate performance approach Euler discretization Non-PDC control

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