An adaptive control method that provides the ability to address control uncertainties in both the sign and magnitude of the control power of the system to ensure stability and command tracking. The adaptive control system also functions correctly and remains internally stable in spite of control limits. The control system has the following elements: (i) a filter that smoothes the command to the plant and modifies the command when a control limit is reached, (ii) an element that receives command error input and constructs a nonlinear function of the accumulated error, (iii) an element that converts the nonlinear function of the accumulated error into a control signal to be added to the output of a baseline control system, and (iv) an element that computes the difference between the actuator command and the maximum achievable output.
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