<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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, such as chattering elimination and estimation of norm bounds of uncertainties, is then considered with the application of an adaptive fuzzy integral sliding mode control law. The validity and efficiency of the proposed approaches are investigated through a sixth order uncertain mechanical system.</p></abstract>

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, such as chattering elimination and estimation of norm bounds of uncertainties, is then considered with the application of an adaptive fuzzy integral sliding mode control law. The validity and efficiency of the proposed approaches are investigated through a sixth order uncertain mechanical system.

LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems

Research Unit in Automatic Control and Industrial Computing, URAII National Institute of Applied Sciences and Technology, INSAT Carthage University, Zone urbaine Nord, BP 676, Tunis Cedex, 1080, Tunisia

International Journal of Applied Mathematics and Computer Science

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...

LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems

Published Online: Dec 21, 2011

Page range: 605 - 615

DOI: https://doi.org/10.2478/v10006-011-0047-5

Keywords
adaptive fuzzy control, integral sliding mode, LMI, mismatched uncertainties

This content is open access.

LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems

Published Online: Dec 21, 2011

Page range: 605 - 615

DOI: https://doi.org/10.2478/v10006-011-0047-5

Keywordsadaptive fuzzy control, integral sliding mode, LMI, mismatched uncertainties

This content is open access.

Keywords
adaptive fuzzy control, integral sliding mode, LMI, mismatched uncertainties