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An indirect adaptive control scheme for the control of flexible structures using least square lattice filters for on-line identification of the number of modes, mode shapes, and modal amplitudes is presented. The control law is based on modal pole placement. The system requires on-line validation of the results of the identification scheme before allowing changes in control law parameters. Successful adaptive control is demonstrated using the simulations for the 12 ft free-free beam apparatus at NASA Langley Research Center.