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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。
A class of nonlinear system interference suppression with unknown external disturbances is studied. The external unknown disturbance is composed of a class of unknown bounded disturbances and a class of nonlinear disturbances generated by nonlinear external systems. The nonlinear disturbance produced by external systems is a kind of periodic disturbance with non-harmonic. On the basis of normalizing the internal parameters of the parameters, a new internal model equation is constructed by using the information about the variables of the system state and the structure information of the external system. On the basis of the control law of the nominal system, a feedback control law is further constructed to ensure the closed loop All signals in the system are uniformly bounded. The simulation results verify the effectiveness of the interference suppression algorithm.