| Abstract: |   A wave energy converter and method for extracting energy from water waves
     maximizes the energy extraction per cycle by estimating an excitation
     force of heave wave motion on the buoy, computing a control force from
     the estimated excitation force using a dynamic model, and applying the
     computed control force to the buoy to extract energy from the heave wave
     motion. Analysis and numerical simulations demonstrate that the optimal
     control of a heave wave energy converter is, in general, in the form of a
     bang-singular-bang control; in which the optimal control at a given time
     can be either in the singular arc mode or in the bang-bang mode. The
     excitation force and its derivatives at the current time can be obtained
     through an estimator, for example, using measurements of pressures on the
     surface of the buoy in addition to measurements of the buoy position. A
     main advantage of this approximation method is the ease of obtaining
     accurate measurements for pressure on the buoy surface and for buoy
     position, compared to wave elevation measurements. |