LMI static output feedback design of fuzzy power system stabilisers
by M. Soliman, F. Bendary, W. Mansour, Abdel-Latif Elshafei
International Journal of Modelling, Identification and Control (IJMIC), Vol. 12, No. 4, 2011

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.

Online publication date: Sat, 21-Mar-2015

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