Abstract: A vehicle braking system including a controller, in an initial anti-skid cycle, performs a first determination to select a high or a low control mode in accordance with wheel speed parameters. The controller in a second, or subsequent anti-skid cycle, performs a second determination to determine whether a near &mgr; test is to be performed in accordance with wheel speed parameters. The controller consequent upon selection of low control mode performs a near &mgr; test. The near &mgr; test includes performing a rise in the brake pressure and then selecting a high or low mode in accordance with the speed of the wheels resulting from the rise in brake pressure in the near &mgr; test.