LMI Static Output Feedback Design of Fuzzy Power System Stabilizers
Expert system with applications • 2009
Publication Information
Authors
M. Soliman, A-L Elshafei, F. Bendary, W. Mansour
Keywords
Power system stability
Robustness
Linear matrix inequality (LMI)
Takagi–Sugeno (T–S) fuzzy models
Parallel-distributed compensation (PDC)
Static output feedback
Journal
Expert system with applications
Publisher
Elsevier
Volume
36
Issue
3p2
Pages
6817-6825
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
The design of a model-free fuzzy power system stabilizer (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 nonlinearities,
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 (LMI). The
design procedure leads to a tractable convex optimization problem in terms of the stabilizer gain matrix.
Simulations results of both single-machine and multi-machine power systems confirm the effectiveness
of the proposed PSS design
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 nonlinearities,
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 (LMI). The
design procedure leads to a tractable convex optimization problem in terms of the stabilizer gain matrix.
Simulations results of both single-machine and multi-machine power systems confirm the effectiveness
of the proposed PSS design
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