LMI static output feedback design of fuzzy power system stabilisers
International Journal of Modeling, Identification &Control • 2011
Publication Information
Authors
M. Soliman, A-L Shafei, F. Bendary, W. Mansour
Keywords
power system stability; robustness; linear matrix inequality; LMI; Takagi-Sugeno
fuzzy models; parallel distributed compensation; PDC; static output feedback
Journal
International Journal of Modeling, Identification &Control
Publisher
inderscience
Volume
12
Issue
4
Pages
328-340
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
The design of a model-free fuzzy power system stabiliser (PSS) lacks systematic
stability analysis and performance guarantees. This paper provides a step towards the design of a
model-based fuzzy PSS that guarantees not only stability, but also performance specifications of
power systems. A new practical and simple design based on static output feedback is proposed.
The design guarantees robust pole clustering in an acceptable region in the complex plane for a
wide range of operating conditions. A power system design model is approximated by a set of
Takagi-Sugeno (T-S) fuzzy models to account for non-linearities, uncertainties and large-scale
power systems. The proposed PSS design is based on parallel distributed compensation (PDC).
Sufficient design conditions are derived as linear matrix inequalities (LMIs). The design
procedure leads to a tractable convex optimisation problem in terms of the stabiliser gain matrix.
Simulations results of both single machine and multimachine power systems confirm the
effectiveness of the proposed PSS design
stability analysis and performance guarantees. This paper provides a step towards the design of a
model-based fuzzy PSS that guarantees not only stability, but also performance specifications of
power systems. A new practical and simple design based on static output feedback is proposed.
The design guarantees robust pole clustering in an acceptable region in the complex plane for a
wide range of operating conditions. A power system design model is approximated by a set of
Takagi-Sugeno (T-S) fuzzy models to account for non-linearities, uncertainties and large-scale
power systems. The proposed PSS design is based on parallel distributed compensation (PDC).
Sufficient design conditions are derived as linear matrix inequalities (LMIs). The design
procedure leads to a tractable convex optimisation problem in terms of the stabiliser gain matrix.
Simulations results of both single machine and multimachine power systems confirm the
effectiveness of the proposed PSS design
Staff Members - Benha University