Performance comparison of digital implementation of analog systems

Guofeng Zhang; Xiang Chen; Tongwen Chen

doi:10.1109/CDC.2007.4435041

Performance comparison of digital implementation of analog systems

Guofeng Zhang
, Xiang Chen
, Tongwen Chen

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

4 Citations (Scopus)

Abstract

A new controller discretization approach, the generalized bilinear transformation (GBT), is proposed in [1]. Given an analog controller K, GBT generates a class of digital controllers Kgbt parameterized by α ∈ (-∞, ∞). A geometric interpretation of GBT is first presented. Secondly, when the original analog feedback system is stable, a method is proposed to find the value of the parameter α which provides upper bound of the sampling period guaranteeing closed-loop stability of the resulting sampled-data system. Thirdly, it is shown that step-tracking is preserved if the closed-loop sampled-data system is stable. Finally, two examples are used to demonstrate the strength of our digitization approach.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages	785-790
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2007.4435041
Publication status	Published - 1 Dec 2007
Externally published	Yes
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: 12 Dec 2007 → 14 Dec 2007

Conference

Conference	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 14/12/07

Keywords

Closed-loop stability
Controller discretization
Generalized bilinear transformation (GBT)
Optimization

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

More information

10.1109/CDC.2007.4435041

Cite this

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title = "Performance comparison of digital implementation of analog systems",

abstract = "A new controller discretization approach, the generalized bilinear transformation (GBT), is proposed in [1]. Given an analog controller K, GBT generates a class of digital controllers Kgbt parameterized by α ∈ (-∞, ∞). A geometric interpretation of GBT is first presented. Secondly, when the original analog feedback system is stable, a method is proposed to find the value of the parameter α which provides upper bound of the sampling period guaranteeing closed-loop stability of the resulting sampled-data system. Thirdly, it is shown that step-tracking is preserved if the closed-loop sampled-data system is stable. Finally, two examples are used to demonstrate the strength of our digitization approach.",

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T1 - Performance comparison of digital implementation of analog systems

AU - Zhang, Guofeng

AU - Chen, Xiang

AU - Chen, Tongwen

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AB - A new controller discretization approach, the generalized bilinear transformation (GBT), is proposed in [1]. Given an analog controller K, GBT generates a class of digital controllers Kgbt parameterized by α ∈ (-∞, ∞). A geometric interpretation of GBT is first presented. Secondly, when the original analog feedback system is stable, a method is proposed to find the value of the parameter α which provides upper bound of the sampling period guaranteeing closed-loop stability of the resulting sampled-data system. Thirdly, it is shown that step-tracking is preserved if the closed-loop sampled-data system is stable. Finally, two examples are used to demonstrate the strength of our digitization approach.

KW - Closed-loop stability

KW - Controller discretization

KW - Generalized bilinear transformation (GBT)

KW - Optimization

UR - https://www.scopus.com/pages/publications/62749100096

U2 - 10.1109/CDC.2007.4435041

DO - 10.1109/CDC.2007.4435041

M3 - Conference article published in proceeding or book

SN - 1424414989

SN - 9781424414987

SP - 785

EP - 790

BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC

T2 - 46th IEEE Conference on Decision and Control 2007, CDC

Y2 - 12 December 2007 through 14 December 2007

ER -

Performance comparison of digital implementation of analog systems

Abstract

Conference

Keywords

ASJC Scopus subject areas

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