Adaptive Fixed-Time Control for High-Order Nonlinear Systems With Unknown Control Coefficients and Quantized Input.

This paper considers the adaptive fixed-time control problem for high-order nonlinear systems in the presence of unknown control coefficients and quantized input. Unlike the previous results, the bounds of the control coefficients and the knowledge of the quantizer parameters are not required to be known. By utilizing adding a power integrator method, an adaptive controller is designed where a tuning parameter is introduced to compensate the unknown system parameters. By using fixed-time stability theorem, a novel switching rule is developed to regulate the controller parameter online such that the fixed-time stability is ensured for the closed-loop systems. Finally, a simulation example is provided to verify the effectiveness of the proposed control algorithm.