Frequency domain stability analysis of nonlinear active disturbance rejection control system.
Frequency domain stability analysis of nonlinear active disturbance rejection control system.
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DOI：
10.1016/j.isatra.2014.11.009
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发表时间：
2015-05
期刊：
影响因子：
7.3
通讯作者：
Jiekun Li;Xiaohui Qi;Yuanqing Xia;Fan Pu;K. Chang
中科院分区：
文献类型：
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作者：
Jiekun Li;Xiaohui Qi;Yuanqing Xia;Fan Pu;K. Chang
本文采用三种方法（即，根轨迹分析法、描述函数法和扩展圆判据）对采用非线性自抗扰控制（ADRC）算法的快速刀具伺服系统进行频域稳定性分析。根轨迹定性分析表明，自抗扰控制器的极限环是由于非线性函数的增益随输入变化而产生的。非线性函数中的参数是可调的，以抑制极限环。在根轨迹分析过程中，基于等效增益的概念对非线性函数进行了变换。然后，利用描述函数对非线性函数进行频域描述，并对极限环进行定量分析，包括预测误差的估计，从理论上和实际上证明了描述函数法在这种情况下不能保证足够的精度。作为补充，本文还研究了基于扩圆判据的绝对稳定性分析方法.
This paper applies three methods (i.e., root locus analysis, describing function method and extended circle criterion) to approach the frequency domain stability analysis of the fast tool servo system using nonlinear active disturbance rejection control (ADRC) algorithm. Root locus qualitative analysis shows that limit cycle is generated because the gain of the nonlinear function used in ADRC varies with its input. The parameters in the nonlinear function are adjustable to suppress limit cycle. In the process of root locus analysis, the nonlinear function is transformed based on the concept of equivalent gain. Then, frequency domain description of the nonlinear function via describing function is presented and limit cycle quantitative analysis including estimating prediction error is presented, which virtually and theoretically demonstrates that the describing function method cannot guarantee enough precision in this case. Furthermore, absolute stability analysis based on extended circle criterion is investigated as a complement.