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Flexible systems with large load variations are very difficult to control. Robust control produces non-optimal results for unmodelled configurations and adaptive control suffers from poor transient responses. The multiple model adaptive control (MMAC) scheme offers a solution, however, it is highly computationally demanding. In this paper, MMAC with one fixed robust controller and one adaptive controller is applied to attenuate vibrations in cantilever beam structures with large varying parameters. A very simple supervisor scheme is proposed to reduce the computation burden. Simulation results show that the proposed strategy can achieve better transient response than adaptive control and better attenuation than robust control.