Sampled-Data Output Feedback Control for Nonlinear Systems With High-Order Nonlinearities

In this article, the sampled-data control (SDC) problem for nonlinear systems is investigated with the help of the homogeneous domination approach. Different from the existing results, the nonlinearities of the systems are nonlinearly growing in unmeasurable states. A novel technical lemma is proposed to estimate the state trajectories between two successive sampling points. Then the new homogeneous reduced-order observer and sampled-data controller with genuinely nonlinear structures are constructed by using the sampled information of output. After choosing appropriate sampling period, the proposed SDC scheme can stabilize the nonlinear systems. Finally, the effectiveness of the results is demonstrated by using two simulation examples and the superiority of the proposed method is shown by comparing the control performance with the existing results.