Modelling of multirate feedback systems using uniform-rate models

J. S.H. Tsai; C. M. Chen; L. S. Shieh

doi:10.1016/0307-904X(93)90122-W

Modelling of multirate feedback systems using uniform-rate models

J. S.H. Tsai, C. M. Chen, L. S. Shieh

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

A new method is proposed to analyze a multirate feedback system by reducing it to an equivalent uniform- rate feedback system. The solution is essentially based on the developments of state-space model conversions in closed-loop systems with multiple rates. Either a slow-rate controlled system with a fast- rate feedback or a fast-rate controlled system with a slow-rate feedback is modeled by state-space expressions with either a unified slow-rate frame or a unified fast-rate frame. It is shown that the proposed method is suitable for computer programming and convenient for analysis and design of multirate sampled-data control systems.

Original language	English
Pages (from-to)	2-14
Number of pages	13
Journal	Applied Mathematical Modelling
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/0307-904X(93)90122-W
Publication status	Published - 1993 Jan

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Applied Mathematics

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10.1016/0307-904X(93)90122-W

Cite this

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abstract = "A new method is proposed to analyze a multirate feedback system by reducing it to an equivalent uniform- rate feedback system. The solution is essentially based on the developments of state-space model conversions in closed-loop systems with multiple rates. Either a slow-rate controlled system with a fast- rate feedback or a fast-rate controlled system with a slow-rate feedback is modeled by state-space expressions with either a unified slow-rate frame or a unified fast-rate frame. It is shown that the proposed method is suitable for computer programming and convenient for analysis and design of multirate sampled-data control systems.",

author = "Tsai, {J. S.H.} and Chen, {C. M.} and Shieh, {L. S.}",

note = "Funding Information: This work was supportedi n part by the National Science Council of the Republic of China under contract NSC-80-0404-E-006-48,t he NASA-Johnson Space Center under grant NAG-9-380, and the U.S. Army Research Office under grant DAAL-03-87-KOOOl .",

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AB - A new method is proposed to analyze a multirate feedback system by reducing it to an equivalent uniform- rate feedback system. The solution is essentially based on the developments of state-space model conversions in closed-loop systems with multiple rates. Either a slow-rate controlled system with a fast- rate feedback or a fast-rate controlled system with a slow-rate feedback is modeled by state-space expressions with either a unified slow-rate frame or a unified fast-rate frame. It is shown that the proposed method is suitable for computer programming and convenient for analysis and design of multirate sampled-data control systems.

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Modelling of multirate feedback systems using uniform-rate models

Abstract

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