受正弦扰动的线性系统的无静差控制

Zero Steady-State Error Control for Linear Systems with Sinusoidal Disturbances

研究线性系统在正弦扰动下的扰动抑制问题。对于一类受正弦扰动的n阶线性系统,提出了一种具有二阶动态特性的状态反馈控制算法。设计的动态反馈控制律结构由两部分构成。首先利用内模原理,在控制器中嵌入了正弦扰动的模态矩阵,实现了闭环系统的无静差扰动抑制。然后通过设计控制器中的n+2个参数,使闭环系统的极点实现任意配置,从而保证了闭环系统的指数渐近稳定性。数值仿真算例说明了控制策略的有效性。

This paper studies the disturbance rejection problem of linear systems with sinusoidal disturbances.For n order linear systems with sinusoidal disturbances,we proposed a state feedback control algorithm with second-order dynamic properties.The dynamic feedback control law is constructed in two parts.First using the internal model principle,the modal matrix of the sinusoidal disturbance is embedded in the controller so that the disturbances rejection of zero steady-state error for the closed-loop system is realized.And then by designing n+2 parameters of the controller,it makes the poles of the closed-loop system to achieve any assignment,so as to guarantee the exponential asymptotic stability of the closed-loop system.Numerical simulation examples show the effectiveness of the control strategy.