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目的给出线性跟踪微分器的设计方法,并研究将其用于控制系统状态反馈的效果.方法利用积分器反馈方法,给出了α阶线性跟踪微分器(可实现对微分信号的α阶静态无差跟踪)及γ阶强跟踪微分器(可直接获得待微分信号的1~γ阶微分估值)两种线性跟踪微分器设计方案,并将其用于直接获取状态及进行状态反馈控制的仿真研究.结果与结论结果表明只要合理地选择跟踪微分器的类型及参数,无论对线性系统还是非线性时变系统,这一方法均是有效的.文中还给出了选择线性跟踪微分器的基本原则.
Aim To design the method of linear tracking differentiator and study the effect of using it to control the state feedback of the system. Methods Using the integrator feedback method, the α-order linear tracking differentiator (α-order static non-difference tracking of the differential signal) and the γ-order strong tracking differentiator (the 1 ~ γ differential of the signal to be differentiated Estimation) two kinds of linear tracking differentiator design and its use for direct access to the state and the state feedback control simulation study. RESULTS AND CONCLUSIONS The results show that this method is effective for both linear systems and non-linear time-varying systems, so long as the type and parameters of the tracking differentiator are chosen reasonably. The paper also gives the basic principle of choosing linear tracking differentiator.