Multiple reconfigurable intelligent surface (RIS)-assisted rate-splitting multiple access (RSMA) systems have been extensively studied. In this paper, we propose a method to minimise the system's power consumption. First, we formulate an optimisation problem to minimise the system's power, using the base station's precoding vectors, common rate allocation, and phase shifts of RISs as optimisation parameters, with the user's rate requirement and phase shift of RIS as constraints. Next, the optimisation problem is decomposed into two subproblems: optimising the base station's precoding vectors and common rate allocation, and optimising the phase shifts of RISs. These parameters are then alternately optimised using an iterative approach. In each iteration, the base station's precoding vectors and common rate allocation are optimised using successive convex approximation (SCA), while the phase shifts of RISs are optimised using semidefinite relaxation (SDR). Simulation results demonstrate that the system's minimum power decreases as the number of RISs increases, and the proposed scheme achieves lower power consumption compared to existing methods in the same scenario.
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