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Título del libro: Proceedings Of The 2010 11th International Workshop On Variable Structure Systems, Vss 2010
Título del capítulo: Finite-time convergence analysis for "Twisting" controller via a strict Lyapunov function

Autores UNAM:
LEONID FRIDMAN; JAIME ALBERTO MORENO PEREZ;
Autores externos:

Idioma:
Inglés
Año de publicación:
2010
Palabras clave:

Convergence time; Equilibrium point; External perturbations; Finite time stability; Finite-time convergence; Non-smooth; Second order sliding modes; Twisting algorithms; Upper Bound; Algorithms; Differential equations; Lyapunov functions; Convergence of numerical methods


Resumen:

A second order sliding mode controller, the so-called "Twisting" algorithm is under study. A non-smooth strict Lyapunov function is proposed, such that global finite time stability for this algorithm can be proved even in the case when it is affected by bounded external perturbations. The strict Lyapunov function gives the possibility to estimate an upper bound for the time convergence of the trajectories of the system to the equilibrium point. A linear compensator is added to the twisting algorithm so linearly increasing perturbations can be compensated. Indeed, finite time stability and a convergence time estimation for a global finite time convergence algorithm is shown. © 2010 IEEE.


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