Study on four disturbance observers for FO-LTI systems

Study on four disturbance observers for FO-LTI systems
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FO-LTI系统四扰动观测器研究

DOI:
10.1109/jas.2016.7510097
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发表时间:
2016-10
期刊:
IEEE/CAA Journal of Automatica Sinica
影响因子:
--
通讯作者:
Yong Wang
Yong Wang
中科院分区:
其他
文献类型:
--
作者:
Songsong Cheng;Shengguo Wang;Yiheng Wei;Qing Liang;Yong Wang

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研究了分数阶线性时不变(FO-LTI)系统的扰动观测器设计问题,其中扰动包括时间序列展开扰动和正弦扰动。一方面,针对系统状态可以直接测量的情况,提出了降维扩展状态观测器(ROESO)和降维串级扩展状态观测器(ROCESO)。另一方面,对于不能直接测量系统状态的情况,提出了扩展状态观测器(ESO)和串级扩展状态观测器(CESO)。结果表明,将ROCESO和CESO相结合可以达到高效的观测效果。此外,本文还给出了如何调整观测器参数以保证观测器的稳定性和减小观测误差的方法。最后,通过数值仿真验证了所提方法的有效性。
This paper addresses the problem of designing disturbance observer for fractional order linear time invariant (FO-LTI) systems, where the disturbance includes time series expansion disturbance and sinusoidal disturbance. On one hand, the reduced order extended state observer (ROESO) and reduced order cascade extended state observer (ROCESO) are proposed for the case that the system state can be measured directly. On the other hand, the extended state observer (ESO) and the cascade extended state observer(CESO) are presented for another case when the system state cannot be measured directly. It is shown that combination of ROCESO and CESO can achieve a highly effective observation result. In addition, the way how to tune observer parameters to ensure the stability of the observers and reduce the observation error is presented in this paper. Finally, numerical simulations are given to illustrate the effectiveness of the proposed methods.
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