<p>To improve the stability of uncertain nonlinear systems and reduce stability errors, the study focuses on nonlinear systems with input small delays and time-delay nonlinear systems with input quantization. In the former system, a fuzzy logic system is used to approximate unknown nonlinear functions in the controlled system, and the Pade approximation method is used to deal with input delay problems. In the latter system, a hysteresis quantizer is used to avoid quantifying the signal, and a suitable Lyapunov–Krasovskii functional is constructed to overcome the influence of unknown state delay on the nonlinear system. Based on the dynamic surface control technology, adaptive backstepping control design is carried out. Through this method, each signal in a closed-loop system is bounded and exhibits good tracking performance within a finite time. The results showed that compared with the comparative method, the research method effectively reduced system tracking error and estimated the system state vector less. In Example 1, the system tracking error of the research method quickly converged around 0, with a convergence time of 2.8&#xa0;s. In Example 2, the system tracking error of the research method was smaller and always remained within the performance limit range. Compared with the comparative method, the output signal of the research method had a high consistency with the trajectory of the reference signal. The research method can stabilize the system in a limited time and quickly converge tracking errors.</p>