The design of a model-free fuzzy power system
stabilizer (PSS) lacks systematic stability analysis
and performance guarantees. This paper provides a step
toward the design of a model-based fuzzy PSS that
guarantees not only robust stability but also robust
performance of power systems. A new practical and
simple design based on dynamic outpul feedback is
proposed. The design model is approximated by a set of
Takagi-Sugeno (T-S) fuzzy models to account for
nonlinearities and uncertainties. The proposed stabilizer
is based on parallel distributed compensation
(PDC). Sufficient design conditions are presented as
linear matrix inequalities (LMls). The design procedure
leads to a tractable convex optimization problem in
terms of the stabilizer gain matrices. The design
guarantees robust pole clustering, in an acceptable
region in the open left half of the complex plane, and
robust performance in terms of H2 and Hoc measures,
over a wide range of operating conditions. Simulations
results of both single-machine and multi-machine power
systems confirm the effectiveness of the proposed PSS
design. |
