Command-filter-based adaptive tracking control for nonlinear systems with unknown input quantization and mismatching disturbances

Abstract

In this article, the adaptive tracking control problem is investigated for a class of uncertain nonlinear systems with input quantization and mismatching disturbances. The effect of the mismatching disturbances is compensated by introducing smooth functions in the virtual controllers. By combining the novel command filters with backstepping method, an adaptive controller is designed and the problem of ”explosion of complexity” can be solved. It has also been proved that all the signals in the closed-loop systems are bounded and the system output can asymptotically track the reference signal. Finally, simulation examples are provided to verify the effectiveness of the proposed method.