Geodesic
Nonquadratic stabilization of continuous-time systems in the Takagi-Sugeno form
Kybernetika, Tome 42 (2006) no. 6, pp. 665-672.

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This paper presents a relaxed scheme for controller synthesis of continuous- time systems in the Takagi-Sugeno form, based on non-quadratic Lyapunov functions and a non-PDC control law. The relaxations here provided allow state and input dependence of the membership functions’ derivatives, as well as independence on initial conditions when input constraints are needed. Moreover, the controller synthesis is attainable via linear matrix inequalities, which are efficiently solved by commercially available software.
Classification : 62A01, 62A10, 62F15, 93C42, 93D15, 93E12
Keywords: fuzzy models; nonquadratic stabilization; nonlinear control; Lyapunov function; linear matrix inequality (LMI) 
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     author = {Bernal, Miguel and Hu\v{s}ek, Petr and Ku\v{c}era, Vladim{\'\i}r},
     title = {Nonquadratic stabilization of continuous-time systems in the {Takagi-Sugeno} form},
     journal = {Kybernetika},
     pages = {665--672},
     publisher = {mathdoc},
     volume = {42},
     number = {6},
     year = {2006},
     mrnumber = {2296507},
     zbl = {1249.93168},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2006__42_6_a2/}
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Bernal, Miguel; Hušek, Petr; Kučera, Vladimír. Nonquadratic stabilization of continuous-time systems in the Takagi-Sugeno form. Kybernetika, Tome 42 (2006) no. 6, pp. 665-672. http://geodesic.mathdoc.fr/item/KYB_2006__42_6_a2/