Periodic disturbance rejection with unknown frequency and unknown plant structure

Periodic disturbance rejection with unknown frequency and unknown plant structure
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DOI:
10.1016/j.jfranklin.2013.10.013
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发表时间:
2014-02
期刊:
J. Frankl. Inst.
影响因子:
--
通讯作者:
G. Fedele;A. Ferrise
G. Fedele;A. Ferrise
中科院分区:
其他
文献类型:
--
作者:
G. Fedele;A. Ferrise

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研究结构未知的线性单输入单输出稳定系统的多正弦信号的渐近抑制问题。采用自适应正交信号发生器重构扰动并消除其对系统输出的影响。一个有趣的特点是,干扰被产生的内部信号消除,在抵消算法中没有额外的动态。设计了分数阶控制器,当估计频率处的植物频率响应位置位于穿过复平面原点的半平面时,即不需要控制系统的阶数信息,只需要其相对程度、极点和零点的性质,即可保证系统的闭环稳定性。对多正弦干扰的情况也进行了分析。通过与现有方法的仿真和比较,突出了所提方法的性能。
This paper deals with asymptotic rejection of a multi-sinusoidal signal for linear single-input single-output stable systems with unknown structure. An adaptive orthogonal signals generator is used to both reconstruct the disturbance and cancel its effect on the system output. An interesting feature is that the disturbance is removed by the generated internal signals with no additional dynamics in the cancellation algorithm. A fractional-order controller is designed which guarantees the closed-loop stability of the system if the location of the plant frequency response at the estimated frequencies lies in a half-plane passing through the origin of the complex plane, i.e. no information about the order of the system to be controlled, the relative degree, the nature of its poles and zeros, is required. The case of multi-sinusoidal disturbance is also analyzed. Simulations and comparisons with existing approaches are presented that highlight the performances of the proposed method.