2013 International Conference on Electrical Engineering and Software Applications 2013
DOI: 10.1109/iceesa.2013.6578391
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New condition of stabilization for continuous Takagi-Sugeno fuzzy system based on fuzzy Lyapunov function

Abstract: This paper try to give a new stabilization condition of continuous Takagi-Sugeno fuzzy models. Using nonquadratic Lyapunov function, the new condition of stabilization are used in terms of linear matrix inequalities LMIs. To verify the robustness of this new condition, a numeric example is used.

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Cited by 9 publications
(3 citation statements)
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“…However, most systems are complex and nonlinear in actual industrial production; hence, more attention should be paid to the design of nonlinear networked controllers and it is urgently necessary to study the relevant results further. In the field of nonlinear control systems, fuzzy control has aroused great attention, especially for the T–S fuzzy model, which is an effective solution to narrow the gap between the fruitful linear control systems and complex nonlinear fuzzy control ones (Bouyahya et al, 2013; Lu and Shih, 2010; Ren et al, 2014).…”
Section: Introductionmentioning
confidence: 99%
“…However, most systems are complex and nonlinear in actual industrial production; hence, more attention should be paid to the design of nonlinear networked controllers and it is urgently necessary to study the relevant results further. In the field of nonlinear control systems, fuzzy control has aroused great attention, especially for the T–S fuzzy model, which is an effective solution to narrow the gap between the fruitful linear control systems and complex nonlinear fuzzy control ones (Bouyahya et al, 2013; Lu and Shih, 2010; Ren et al, 2014).…”
Section: Introductionmentioning
confidence: 99%
“…The second class of function is less conservative than the first. Many researches have investigated nonquadratic Lyapunov functions [11,12,13,14,15,16].…”
Section: Introductionmentioning
confidence: 99%
“…The PDC control law is written is the next equation For the modelisation and conception details for the PDC controller, see [23].…”
mentioning
confidence: 99%