'Institute of Electrical and Electronics Engineers (IEEE)'
Doi
Abstract
Abstract—This paper focuses on designing interval type-2 (IT2)
control for nonlinear systems subject to parameter uncertainties.
To facilitate the stability analysis and control synthesis, an IT2 TS
fuzzy model is employed to represent the dynamics of nonlinear
systems of which the parameter uncertainties are captured by
IT2 membership functions characterized by the lower and upper
membership functions. A novel IT2 fuzzy controller is proposed
to perform the control process, where the membership functions
and number of rules can be freely chosen and different from
those of the IT2 T-S fuzzy model. Consequently, the IT2 fuzzymodel-
based (FMB) control system is with imperfectly matched
membership functions, which hinders the stability analysis. To
relax the stability analysis for this class of IT2 FMB control
systems, the information of footprint of uncertainties, and the
lower and upper membership functions are taken into account
for the stability analysis. Based on the Lyapunov stability theory,
some stability conditions in terms of linear matrix inequalities
are obtained to determine the system stability and achieve the
control design. Finally, simulation and experimental examples
are provided to demonstrate the effectiveness and the merit of
the proposed approach
