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本文就 Tausworthe 提出的三阶环结构形式,从维纳最佳化准则出发进行必要的论证;文中对三阶环稳态跟踪相差公式,提出一种应用动态误差系数的推导方法,可简单而迅速地获得结果;对三阶环非线性性能,即如何求得三阶环捕捉带与捕获时间公式进行了一些有益的探讨。其结果都表明 Tausworthe 提出的三阶环是有很多优点的,在很多场合可以取代二阶环的应用。
In this paper, the third-order ring structure proposed by Tausworthe is used to carry out the necessary proofs from the Wiener Optimality Criterion. In this paper, the formulas for the third-order steady-state tracking are given, and a new method for deriving the dynamic error coefficients is proposed. Some useful discussions are made on the nonlinear third-order loop performance, that is, how to find the third-order loop capture and capture time formula. The results show that the third-order loop proposed by Tausworthe has many advantages and can replace the application of second-order loop in many occasions.