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LMI static output feedback design of fuzzy power system stabilisers

International Journal of Modeling, Identification &Control • 2011
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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