Improved fuzzy feedback linearization and Sinswat-transformation control of inverted pendulum
T. Chien, C. Chen, Y. Chen, S. Wu (2010)
Control and Cybernetics
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T. Chien, C. Chen, Y. Chen, S. Wu (2010)
Control and Cybernetics
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Ibtissem Abdelmalek, Noureddine Goléa, Mohamed Hadjili (2007)
International Journal of Applied Mathematics and Computer Science
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In this paper, new non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize Takagi-Sugeno (T-S) fuzzy systems. We use a non-quadratic Lyapunov function as a fuzzy mixture of multiple quadratic Lyapunov functions. The quadratic Lyapunov functions share the same membership functions with the T-S fuzzy model. The stability conditions we propose are less conservative and stabilize also fuzzy systems which do not admit a quadratic stabilization....
Haiping Du, Nong Zhang (2010)
Control and Cybernetics
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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...
Chaouki Mnasri, Moncef Gasmi (2011)
International Journal of Applied Mathematics and Computer Science
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Integral sliding mode design is considered for a class of uncertain systems in the presence of mismatched uncertainties in both state and input matrices, as well as norm-bounded nonlinearities and external disturbances. A sufficient condition for the robust stability of the sliding manifold is derived by means of linear matrix inequalities. The initial existence of the sliding mode is guaranteed by the proposed control law. The improvement of the proposed control scheme performances,...
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...
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...