研究一类具有外部未知扰动的非线性系统干扰抑制问题。外部未知扰动是由一类未知有界扰动和一类由非线性外部系统产生的非线性扰动构成的,由外部系统产生的非线性扰动是一类具有非谐波的周期扰动。在规范化参数内模的基础上,利用系统状态的变量信息和外部系统的结构信息构造了一个新的内模方程;在标称系统的控制律基础上,进一步构造了一个反馈控制律来保证闭环系统所有信号全局一致有界。仿真结果验证了干扰抑制算法的有效性。
The global rejection problem for a class of nonlinear systems with unknown external disturbances was studied.The unknown external disturbances contain an unknown bounded disturbance and a class of non-harmonic periodic disturbance generated by a nonlinear exosystem.Based on the normalized parameter internal model,a new nonlinear internal model was designed by utilizing the state variable system and the external system structure.Based on the controller for the disturbance-free system,a state feedback controller was designed to ensure all the signals of the closed-loop system were globally uniformly bounded.Simulation results showed the effectiveness of the proposed control algorithm.