This paper is devoted to design adaptive sliding-mode
controllers for the Takagi–Sugeno (T–S) fuzzy system with mismatched
uncertainties and exogenous disturbances.The uncertainties
in state matrices are mismatched and norm-bounded, while
the exogenous disturbances are assumed to be bounded with an
unknown bound, which is estimated by a simple and effective
adaptive approach. Both state- and static-output-feedback slidingmode-
control problems are considered. In terms of linear-matrix
inequalities (LMIs), both sliding surfaces and sliding-mode controllers
can be easily obtained via a convex optimization technique.
Finally, two simulation examples and a real experiment are utilized
to illustrate the applicability and effectiveness of the design
procedures proposed in this paper.