Further results on robust fuzzy dynamic systems with LMI 𝒟-stability constraints
Wudhichai Assawinchaichote (2014)
International Journal of Applied Mathematics and Computer Science
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Wudhichai Assawinchaichote (2014)
International Journal of Applied Mathematics and Computer Science
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Amaral Mozelli, Leonardo, Martinez Palhares, Reinaldo (2011)
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Blanco, Yann, Perruquetti, Wilfrid, Borne, Pierre (2001)
Mathematical Problems in Engineering
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Miguel Bernal, Petr Hušek, Vladimír Kučera (2006)
Kybernetika
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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...
Thomas Möllers (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Haiping Du, Nong Zhang (2010)
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Chen, P.C., Chen, C.W., Chiang, W.L. (2008)
Mathematical Problems in Engineering
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Yu, Jinpeng, Gao, Junwei, Ma, Yumei, Yu, Haisheng (2010)
Mathematical Problems in Engineering
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Ruiyun Qi, Mietek A. Brdys (2009)
International Journal of Applied Mathematics and Computer Science
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In this paper, a unified nonlinear modeling and control scheme is presented. A self-structuring Takagi-Sugeno (T-S) fuzzy model is used to approximate the unknown nonlinear plant based on I/O data collected on-line. Both the structure and the parameters of the T-S fuzzy model are updated by an on-line clustering method and a recursive least squares estimation (RLSE) algorithm. The rules of the fuzzy model can be added, replaced or deleted on-line to allow a more flexible and compact...