一类非线性系统时变滑模变结构控制

针对参数不确定性非线系统，分析了在未知扰动下的输出调节问题，提出了基于李亚普诺夫稳定性理论意义下的时变滑模变结构控制律，该控制律能保证系统误差的快速收敛性及对外部扰动和参数不确定性的不敏感性，最后给出的仿真实例实证实了理论分析结果的正确性。

A Type of Time-Varying Sliding Mode Variable Structure Control for Non-linear System

This paper presents a new method of time varying sliding mode variable structure control for nonlinear uncertain systems and analyses the regulation problem subject to uncertain disturbances. It develops a kind of time varying sliding mode variable structure control law in the Lyapunov sense that guarantees the system error convergence to zero in short time. Insensitivity of the system to external disturbances and parameter uncertainties is guaranteed from the very beginning by the proposed control action. The simulation results of the system are showed at the end of the text that proved the correction of the theory analysis.