Abstract

A direct adaptive control scheme is presented for a class of discrete-time nonlinear systems. We show that if the plant has exponentially stable zero-dynamics and appropriate basis functions can be specified, then the internal signals of the controller are bounded and the error between the plant output and a reference model output will converge to a neighborhood of zero. We do not impose sector restrictions upon the nonlinear functions that describe the plant dynamics or any kind of initialization restrictions. Finally, we show how fuzzy systems fit the proper form to be used as the tunable controller and illustrate the results in simulation for a magnetic levitation system.

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