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This paper introduces an indirect variable-structure adaptive fuzzy controller as a power system stabilizer (IDVSFPSS) used to damp inter-area modes of oscillation following disturbances in power systems. In contrast to IEEE standard multi-band power system stabilizer (MB-PSS) , indirect adaptive fuzzy-based stabilizer are more efficient because they cope with oscillations at different operating points. A nominal model of the power system is identified on-line using a variable structure identifier. A feedback linearization-based control law is implemented using the identified model. The gains of the controller are tuned via a particle swarm optimization routine to ensure system stability and minimum sum of the squares of the speed deviations. A benchmark problem of a 4-machine 2-area power system is used to demonstrate the performance of the proposed controller and to show its superiority over other conventional stabilizers used in the literature.