Title :
Integral Higher Order Sliding Mode and singular optimal stabilization
Author :
Fridman, L. ; Jimenez-Lizarraga, Manuel ; Ibarra, Ernesto
Author_Institution :
Dept. of Control, Univ. Nac. Autonoma de Mexico, Mexico City, Mexico
Abstract :
This paper explores the possibilities of the so-called Integral Higher-Order Sliding-Mode (IHOSM) control framework to solve singular optimal stabilization (SOS) problems of arbitrary order for uncertain systems. We connect the order of singularity of SOS with the co-dimension of the set of singular optimal manifold. IHOSM is designed allowing to reach singular optimal manifold in prescribing time moment and ensures SOS. Moreover, this controller provides the insensitivity of trajectory w.r.t. matched bounded uncertainties.
Keywords :
control system synthesis; singular optimal control; stability; uncertain systems; variable structure systems; IHOSM control framework; IHOSM design; SOS singularity order; integral higher order sliding mode; matched bounded uncertainties; singular optimal manifold; singular optimal stabilization problem; time moment; uncertain systems; Cost function; Manifolds; Optimal control; Robustness; Silicon; Trajectory; Uncertainty; Singular Optimal Control; Variable Structure System;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
