Unfalsified model reference adaptive control using the ellipsoid algorithm

The unfalsified control paradigm, which does not require a priori assumptions on the plant (it uses, as plant information, experimental trajectories of plant signals), is applied to the model reference adaptive control problem. The use of an ellipsoid algorithm overcomes the need of gridding the parameter space used in prior applications of unfalsified control. The application of the ellipsoid algorithm produces a sequence of decreasing volume ellipsoids which contains the set of unfalsified candidates. Simulation results are provided for the control of an unstable plant.