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The Conjugate Gradient Algorithm for Control Systems with a Sine Excitation

机译:带正弦励磁控制系统的共轭梯度算法

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This paper studies the problem of the parameter estimation for control systems by means of the discrete observations under a sine excitation signal. In order to seize the dynamical characteristics of systems and obtain higher estimation accuracy, an objective function by using the dynamical data is constructed and optimized by the negative gradient search. For the purpose of obtaining fast convergence speed, a conjugate gradient algorithm is developed to estimate the system parameters, in which the search direction, i.e., the step-size can be determined in accordance with the variation of the objective function. Finally, a numerical example is provided to test the performance to the proposed method and the simulation results show that the presented algorithm based on the conjugate gradient is effective for process systems.
机译:本文通过在正弦激励信号下的离散观察来研究控制系统参数估计的问题。为了抓住系统的动态特性并获得更高的估计精度,通过使用负梯度搜索构造和优化了通过使用动态数据的目标函数。为了获得快速收敛速度,开发了一种共轭梯度算法以估计系统参数,其中搜索方向,即,可以根据目标函数的变化来确定阶梯大小。最后,提供了一个数字示例以测试对所提出的方法的性能,并且模拟结果表明,基于共轭梯度的呈现算法对于过程系统是有效的。

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