In this paper, Takagi-Sugeno (T-S) fuzzy control problem with
minimizing
$H_2$
/H
$_&infty;$
norm is studied.
A new approach in designing fuzzy controller is called T-S region-based fuzzy
controller (TSRFC), which is derived from the fuzzy region concept and the
robust control technique. The fuzzy region concept is used to divide the
general plant rules into several fuzzy regions and the robust control technique
is used to stabilize all plant rules of each fuzzy region. A theorem in
synthesizing TSRFC is derived from Lyapunov stability criterion, which is
expressed in terms of LMIs. This proposed idea is greatly reduced the total
number of LMIs and controller rules. For this reason, TSRFC is easy to
implement with simple hardware. TSRFC is able to provide good performances as
well as PDC-based designs even though the controller rules are reduced.
