Title :
Analysis and design of integral sliding manifolds for systems with unmatched perturbations
Author :
Castaños, Fernando ; Fridman, Leonid
Author_Institution :
Dept. of Control, Univ. Nacional Autonoma de Mexico, Mexico City, Mexico
fDate :
5/1/2006 12:00:00 AM
Abstract :
The robustness properties of integral sliding-mode controllers are studied. This note shows how to select the projection matrix in such a way that the euclidean norm of the resulting perturbation is minimal. It is also shown that when the minimum is attained, the resulting perturbation is not amplified. This selection is particularly useful if integral sliding-mode control is to be combined with other methods to further robustify against unmatched perturbations. H∞ is taken as a special case. Simulations support the general analysis and show the effectiveness of this particular combination.
Keywords :
H∞ control; control system analysis; control system synthesis; matrix algebra; perturbation techniques; robust control; variable structure systems; Euclidean norm; H∞ control; integral sliding manifolds; integral sliding-mode controllers; projection matrix; robust control; unmatched perturbations; Analytical models; Control design; Control systems; Delay effects; Equations; Robust control; Robustness; Sliding mode control; Uncertainty; Variable structure systems; robust control; sliding-mode control (SMC); variable structure systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.875008