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This paper introduces a Stirling micro-cogeneration system that connects a "double-effect" Stirling engine with a linear induction generator. The connection is done via the engine's piston that serves also as the secondary (rotor) of the generator. First of all, the system is described using a Bond Graph approach representing, graphically, the power flow of the system. Then, a state-space model of the engine under steady-state oscillatory conditions is presented in order to synthesize a coprime H¥ controller with loop-shaping that ensures its robust stability and desired performances through the resistant effort created by the generator on the piston
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