A design method for two-degree-of-freedom multi-period repetitive controllers for multiple-input/multiple-output systems

Chen, Zhongxiang; Yamada, Kou; Sakanushi, Tatsuya; Murakami, Iwanori; Ando, Yoshinori; Nguyen, Nhan Luong Thanh; Yamamoto, Shun

doi:10.3182/20110828-6-it-1002.01433

Cited by 6 publications

(4 citation statements)

References 12 publications

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“…On the other hand, according to [6,18,9,10,11,12], it is note that if low-pass filters q i (s) (i = 1, . .…”

Section: Problem Formulationmentioning

confidence: 99%

“…According to [6,9,10,11,12], the general form of the multi-period repetitive controller C(s) which makes the output y to follow the periodic reference input r with period T in (1) with small steady state error, is written in the following form:…”

Section: Problem Formulationmentioning

confidence: 99%

“…Using multi-period repetitive controllers in [6,9,10,11,12], even if the plant does not include time delays, transfer functions from the periodic reference input to the output and from the disturbance to the output have infinite numbers of poles. This makes it difficult to specify the input-output characteristic and the disturbance attenuation characteristic.…”

Section: Introductionmentioning

confidence: 99%

“…However, when employing the method in [11], we cannot specify the input-output characteristic and the disturbance attenuation characteristic separately, although it is desirable to be able to do so in practice. Chen et al examined the parameterization of all stabilizing two-degrees-of-freedom multi-period repetitive controllers that can specify these characteristics separately [12].…”

Section: Introductionmentioning

confidence: 99%

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The parameterization of all robust stabilizing simple multi-period repetitive controllers for multiple-input/multiple-output plants with specified input-output frequency characteristic

Sakanushi

Yamada

2013

2013 American Control Conference

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In this paper, we propose the parameterization of all robust stabilizing simple multi-period repetitive controllers for multiple-input/multiple-output (MIMO) plants with specified input-output frequency characteristic. Recently, Sakanushi et al. proposed the parameterization of all robust stabilizing simple multi-period repetitive controllers such that the controller works as a robust stabilizing multi-period repetitive controller and transfer functions from the periodic reference input to the output and from the disturbance to the output have finite numbers of poles. However, using their method, it is complex to specify the low-pass filters in the internal model for the periodic reference input that specifies the input-output frequency characteristic, because the low-pass filters are related to more than three free parameters. Our proposed parameterization in this paper overcomes this problem by specifying the low-pass filters beforehand. That is, using our parameterization, we can design a control system which has desirable input-output frequency characteristic more easily than the method proposed by Sakanushi et al.

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“…On the other hand, according to [6,18,9,10,11,12], it is note that if low-pass filters q i (s) (i = 1, . .…”

Section: Problem Formulationmentioning

confidence: 99%