非线性微分黄金分割自适应控制方法

Non-linear differential calculus golden cut adaptive control method

Abstract

非线性微分黄金分割自适应控制方法,包括下列步骤:(1)针对单输入单输出线性时变系统建立特征模型;(2)针对所述的特征模型,构造非线性微分黄金分割自适应控制律;(3)对该控制律作用于特征模型组成的闭环系统进行稳定性分析,确定闭环系统的稳定性条件。本发明克服现有技术的不足,提供一种针对线性时变系统进行特征建模,以及采用非线性微分黄金分割的自适应控制方法,这种自适应控制方法能够实现对快变信号和具有突变斜率信号的跟踪。
The invention relates to a nonlinear differential golden section self-adapting control method which comprises the following steps: (1) establishing a characteristic model in relation to the a single-input/single-output linear time varying system; (2) determining a nonlinear differential golden section self-adapting control law according to the characteristic mode; and (3) performing the stabilityanalysis of the closed-loop system formed by applying the control law to the characteristic mode and determining the stability conditions of the closed-loop system. The method overcomes the disadvantages of the prior art, provides the characteristic model in relation to the linear time varying system, and achieves the effect of section self-adapting control method using the nonlinear differentialgolden. The self-adapting control method can track the fast-varying signal and the signal with mutation slope.

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