Functional Observer-Based T–S Fuzzy Systems for Quadratic Stability of Power System Synchronous Generator

This paper presents the functional observer-based Takagi–Sugeno fuzzy controller to enhance the dynamic response of the synchronous generator infinite bus power system under low-frequency oscillations. The unmeasurable states of the synchronous generator are estimated by using minimum order functional observer. The T–S fuzzy controller rules are a function of the estimated states in which the functional observer based on T–S fuzzy conditions presented in rank equality form. The Lyapunov theory in the form of linear matrix inequalities (LMIs) represented here in this paper to synthesis the functional observer stability. Small disturbances are taken to simulate the synchronous generator oscillations. The results clearly show that our scheme is a better response when compared with the full observer-based T–S fuzzy system.

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