Quantitative Feedback Design of Uncertain Multivariable Control Systems
博士 === 國立交通大學 === 電子工程學系 === 85 === In this thesis, several quantitative feedback design schemes are provided for designing the linear time-invariant multivariable feedback control system with large plant uncertainty. Each element of the plant transfer fu...
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ndltd-TW-085NCTU04281392015-10-13T17:59:38Z http://ndltd.ncl.edu.tw/handle/09611172613573227453 Quantitative Feedback Design of Uncertain Multivariable Control Systems 具大參數變化之多變數控制系統的定量回授設計 Cheng, Ching-Cheng 鄭錦政 博士 國立交通大學 電子工程學系 85 In this thesis, several quantitative feedback design schemes are provided for designing the linear time-invariant multivariable feedback control system with large plant uncertainty. Each element of the plant transfer function matrix is described with a bounded parameter range. The objective is to find proper robust compensators, embedded in a two-degree-of-freedom structure, such that not only is the channel interaction suppressed to an acceptable level, but the system frequency response should lie within the prescribed main channel performance boundaries. Under the proposed design framework, the synthesis of an n x n MIMO control system is replaced by n single-input single-output(SISO) design problems, so that the SISO-QFT method can be directly invoked for designing. Based on Schauder''s fixed-point theorem, two sufficient conditions have been derived for assuring the achievement of the noninteracting performance, or alternatively, the off-diagonal performance. Two new interaction indexes, the relative error and the absolute error, are derived to serve as a practical measure for assessing the achieved noninteraction of the system. The use of these indexes as noninteraction measure is shown to be very simple even for the system of large dimension. On the other hand, the division of the given main channel performance tolerance is either re-allocated in a systematical basis or omitted completely by using the concept of the relative error and the absolute error, which forms a foundation for achieving the prescribed main channel performance. Remarkably, the proposed approach is with the capability to trade off the performance bound between the loops, so that the cost of feedback in each loop can be compromised. Finally, we give a practical decoupling mechanism, using a full-order compensator, to reduce the inherent overdesign limited by using a diagonal compensator. Wang Te-Shing 王德勝 1997 學位論文 ; thesis 106 zh-TW |
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博士 === 國立交通大學 === 電子工程學系 === 85 === In this thesis, several quantitative feedback design schemes are
provided for designing the linear time-invariant multivariable
feedback control system with large plant uncertainty. Each
element of the plant transfer function matrix is described with
a bounded parameter range. The objective is to find proper
robust compensators, embedded in a two-degree-of-freedom
structure, such that not only is the channel interaction
suppressed to an acceptable level, but the system frequency
response should lie within the prescribed main channel
performance boundaries. Under the proposed design framework, the
synthesis of an n x n MIMO control system is replaced by n
single-input single-output(SISO) design problems, so that the
SISO-QFT method can be directly invoked for designing. Based on
Schauder''s fixed-point theorem, two sufficient conditions have
been derived for assuring the achievement of the noninteracting
performance, or alternatively, the off-diagonal performance. Two
new interaction indexes, the relative error and the absolute
error, are derived to serve as a practical measure for assessing
the achieved noninteraction of the system. The use of these
indexes as noninteraction measure is shown to be very simple
even for the system of large dimension. On the other hand, the
division of the given main channel performance tolerance is
either re-allocated in a systematical basis or omitted
completely by using the concept of the relative error and the
absolute error, which forms a foundation for achieving the
prescribed main channel performance. Remarkably, the proposed
approach is with the capability to trade off the performance
bound between the loops, so that the cost of feedback in each
loop can be compromised. Finally, we give a practical decoupling
mechanism, using a full-order compensator, to reduce the
inherent overdesign limited by using a diagonal compensator.
|
author2 |
Wang Te-Shing |
author_facet |
Wang Te-Shing Cheng, Ching-Cheng 鄭錦政 |
author |
Cheng, Ching-Cheng 鄭錦政 |
spellingShingle |
Cheng, Ching-Cheng 鄭錦政 Quantitative Feedback Design of Uncertain Multivariable Control Systems |
author_sort |
Cheng, Ching-Cheng |
title |
Quantitative Feedback Design of Uncertain Multivariable Control Systems |
title_short |
Quantitative Feedback Design of Uncertain Multivariable Control Systems |
title_full |
Quantitative Feedback Design of Uncertain Multivariable Control Systems |
title_fullStr |
Quantitative Feedback Design of Uncertain Multivariable Control Systems |
title_full_unstemmed |
Quantitative Feedback Design of Uncertain Multivariable Control Systems |
title_sort |
quantitative feedback design of uncertain multivariable control systems |
publishDate |
1997 |
url |
http://ndltd.ncl.edu.tw/handle/09611172613573227453 |
work_keys_str_mv |
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