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Browsing by Subject "Sum of squares"

Now showing items 1-6 of 6

A generalised integral polynomial Lyapunov function for nonlinear systems

Gonzalez-German, Ivan Temoatzin; Sala, Antonio; Bernal Reza, Miguel Ángel (Elsevier, 2019-02-01)

[EN] This work generalises the line-integral Lyapunov function in (Rhee and Won, 2006) for stability analysis of continuous-time nonlinear models expressed as fuzzy systems. The referred result applied only to Takagi¿Sugeno ...
Contributions to fuzzy polynomial techniques for stability analysis and control

Pitarch Pérez, José Luis (Universitat Politècnica de València, 2014-01-07)

The present thesis employs fuzzy-polynomial control techniques in order to improve the stability analysis and control of nonlinear systems. Initially, it reviews the more extended techniques in the field of Takagi-Sugeno ...
Estimación del dominio de atracción de sistemas no lineales mediante modelos borrosos polinomiales

Pitarch, J.L.; Sala, A.; Ariño, C.V.; Bedate, F. (Elsevier, 2012-04-09)

[EN] Many approaches in fuzzy systems literature express LMI conditions for a Takagi-Sugeno model and finish the problem once those conditions are feasible. However, studying the obtained region of attraction and its ...
Explicit predictive control with non-convex polyhedral constraints

Pérez Soler, Emilio; Ariño Latorre, Carlos Vicente; Blasco Ferragud, Francesc Xavier; Martínez Iranzo, Miguel Andrés (International Federation of Automatic Control, 2012)

This paper proposes an explicit solution to the model predictive control of linear systems subject to non-convex polyhedral constraints. These constraints are modeled as the union of a finite number of convex polyhedra. ...
Multicriteria fuzzy-polynomial observer design for a 3DoF nonlinear electromechanical platform

Pitarch Pérez, José Luis; Sala Piqueras, Antonio (Elsevier, 2014-04)

This paper proposes local fuzzy-polynomial observer discrete-time designs for state estimation of a nonlinear 3DoF electromechanical platform (fixed quadrotor). A trade-off between H∞ norm bounds and speed of convergence ...
Stability analysis of polynomial fuzzy models via polynomial fuzzy Lyapunov functions

Bernal Reza, Miguel Ángel; Sala, Antonio; Jaadari, Abdelhafidh; Guerra, Thierry-Marie (Elsevier, 2011-12-15)

In this paper, the stability of continuous-time polynomial fuzzy models by means of a polynomial generalization of fuzzy Lyapunov functions is studied. Fuzzy Lyapunov functions have been fruitfully used in the literature ...