Minimum phase properties of systems with a new signal reconstruction method

Ou, Minghui; Liang, Shan; Zhang, Hao; Liu, Tong; Jing, Liang

doi:10.1016/j.ifacol.2020.12.501

Cited by 5 publications

(17 citation statements)

References 25 publications

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“…Definition 1 [ 22 ]: Suppose that f ∈ (0, 1], r ∈ N ⩾ 0, exist a number p such that f + p = 1. A novel polynomial has the following properties where …”

Section: Limiting Zeros Of the Discrete-time System With Ftshmentioning

confidence: 99%

“…Theorem 2 [ 22 ]: When a FTSH as the signal reconstruction to construct the input value of a linear system, one can obtain the following two results.…”

Section: Limiting Zeros Of the Discrete-time System With Ftshmentioning

confidence: 99%

“…Because of that the proof details of case (1) in Theorem 2 has been provided in [ 22 ], for the convenience of potential reader to better understand this Theorem, here, a detailed analysis was carried out for the case (2) in Theorem 2.…”

Section: Limiting Zeros Of the Discrete-time System With Ftshmentioning

confidence: 99%

“…Two new sample-and-hold functions: forward triangle sample and hold (FTSH) and BTSH were investigated in [ 21 , 22 ], recently. Two triangular sample and hold functions were considered as an alternative to the ZOH and shown that they can replace the sampling zeros of the corresponding sampled-data systems locate in unite circle by using BTSH or FTSH while ZOH can not to do.…”

Section: Introductionmentioning

confidence: 99%

“…Consequently, Ou et al [ 9 , 23 ] were analytically investigated the properties of zeros and zero dynamics of sampled-data systems with BTSH for linear and nonlinear systems, respectively. They were also researched the sampling zero properties of discrete-time system with FTSH in [ 22 ], but only the case of sufficiently small sampling period was studied. Moreover, points to the fact that the properties of limiting zeros should be considered completely in all the case of sufficiently limiting sampling periods [ 4 , 6 ].…”

Section: Introductionmentioning

confidence: 99%

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The limiting zero dynamics of discrete-time system based on forward triangle sample-and-hold

Ou²,

Wang

2023

PLoS ONE

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Zero dynamics have crucial effect on system analysis and controller design. In the control analysis process, system performance is influenced by the unstable zero dynamics, greatly. This study concerns with the properties of limiting zero dynamics when the signal of controlled continuous-time systems was reconstructed by forward triangle sample-and-hold (FTSH). FTSH is a newly sample and hold method in the signal reconstruction area. However, more theoretical details about the limiting zero dynamics of the resulting discrete-time systems need to be revealed. Firstly, the framework for the limiting zero dynamics in the situation of sufficiently small or large sample period is introduced. Furthermore, this study provides the stable conditions of limiting zeros in the two different sampling situations. The results indicate that one can select a suitable variable parameter value of FTSH to replace the sampling zeros of discrete-time system locate inside the stable region. This paper also reveals the truth that FTSH has the outstanding advantage compared with the BTSH using theoretical analysis method. Finally, example simulations verify the effectiveness of the results in this study.

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“…Definition 1 [ 22 ]: Suppose that f ∈ (0, 1], r ∈ N ⩾ 0, exist a number p such that f + p = 1. A novel polynomial has the following properties where …”

Section: Limiting Zeros Of the Discrete-time System With Ftshmentioning

confidence: 99%

“…Theorem 2 [ 22 ]: When a FTSH as the signal reconstruction to construct the input value of a linear system, one can obtain the following two results.…”

Section: Limiting Zeros Of the Discrete-time System With Ftshmentioning

confidence: 99%

Section: Limiting Zeros Of the Discrete-time System With Ftshmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%