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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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...
Amaral Mozelli, Leonardo, Martinez Palhares, Reinaldo (2011)
Mathematical Problems in Engineering
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Chen, P.C., Chen, C.W., Chiang, W.L. (2008)
Mathematical Problems in Engineering
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Haiping Du, Nong Zhang (2010)
Control and Cybernetics
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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...
Reda Boukezzoula, Sylvie Galichet, Laurent Foulloy (2007)
International Journal of Applied Mathematics and Computer Science
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This paper examines the inverse control problem of nonlinear systems with stable dynamics using a fuzzy modeling approach. Indeed, based on the ability of fuzzy systems to approximate any nonlinear mapping, the nonlinear system is represented by a Takagi-Sugeno (TS) fuzzy system, which is then inverted for designing a fuzzy controller. As an application of the proposed inverse control methodology, two popular control structures, namely, feedback linearization and Nonlinear Internal Model...
Yu, Jinpeng, Gao, Junwei, Ma, Yumei, Yu, Haisheng (2010)
Mathematical Problems in Engineering
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Tomasz Zubowicz, Mietek A. Brdyś (2013)
International Journal of Applied Mathematics and Computer Science
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This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and...
Shaocheng Tong, Changliang Liu, Yongming Li (2010)
International Journal of Applied Mathematics and Computer Science
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In this paper, an adaptive fuzzy robust output feedback control approach is proposed for a class of single input single output (SISO) strict-feedback nonlinear systems without measurements of states. The nonlinear systems addressed in this paper are assumed to possess unstructured uncertainties, unmodeled dynamics and dynamic disturbances, where the unstructured uncertainties are not linearly parameterized, and no prior knowledge of their bounds is available. In recursive design, fuzzy...