Robust Fuzzy Control Design for Dithered Nonlinear Large-scale Systems with Multiple Time Delays
碩士 === 國立臺南大學 === 電機工程研究所 === 99 === A robustness design of fuzzy control is proposed to overcome the effect of modeling errors between nonlinear multiple time-delay (NMTD) subsystems and Takagi-Sugeno (T-S) fuzzy models with multiple time delays. In terms of Lyapunov''s direct met...
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ndltd-TW-099NTNT54420192017-09-03T04:24:42Z http://ndltd.ncl.edu.tw/handle/43057747935987327567 Robust Fuzzy Control Design for Dithered Nonlinear Large-scale Systems with Multiple Time Delays 具有時間延遲之非線性大型系統的模糊控制器設計 Zhao-yu Liu 劉詔瑜 碩士 國立臺南大學 電機工程研究所 99 A robustness design of fuzzy control is proposed to overcome the effect of modeling errors between nonlinear multiple time-delay (NMTD) subsystems and Takagi-Sugeno (T-S) fuzzy models with multiple time delays. In terms of Lyapunov''s direct method, a delay-dependent stability criterion is hence derived to guarantee that the trajectories of NMTD large-scale system under fuzzy control can be steered into a periodic orbit. Based on this criterion and the decentralized control scheme, a set of model-based fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the NMTD large-scale system and the H ∞ control performance is achieved at the same time. If the designed fuzzy controllers cannot stabilize the NMTD large-scale system, a set of dithers (as the auxiliaries of fuzzy controllers) is simultaneously introduced to stabilize the NMTD large-scale system. The injection of high-frequency signals, commonly called dithers, into nonlinear large-scale systems may improve their performance. If the frequencies of dithers are high enough, the outputs of the dithered large-scale system and those of its corresponding mathematical model-the relaxed large-scale system can be made as close as desired. This makes it possible to obtain a rigorous prediction of the stability of the dithered large-scale system by establishing that of the relaxed large-scale system. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this paper. none 蕭鳳翔 2011 學位論文 ; thesis 51 en_US |
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碩士 === 國立臺南大學 === 電機工程研究所 === 99 === A robustness design of fuzzy control is proposed to overcome the effect of modeling errors between nonlinear multiple time-delay (NMTD) subsystems and Takagi-Sugeno (T-S) fuzzy models with multiple time delays. In terms of Lyapunov''s direct method, a delay-dependent stability criterion is hence derived to guarantee that the trajectories of NMTD large-scale system under fuzzy control can be steered into a periodic orbit. Based on this criterion and the decentralized control scheme, a set of model-based fuzzy controllers is then synthesized via the technique of parallel distributed compensation (PDC) to stabilize the NMTD large-scale system and the H ∞ control performance is achieved at the same time. If the designed fuzzy controllers cannot stabilize the NMTD large-scale system, a set of dithers (as the auxiliaries of fuzzy controllers) is simultaneously introduced to stabilize the NMTD large-scale system. The injection of high-frequency signals, commonly called dithers, into nonlinear large-scale systems may improve their performance. If the frequencies of dithers are high enough, the outputs of the dithered large-scale system and those of its corresponding mathematical model-the relaxed large-scale system can be made as close as desired. This makes it possible to obtain a rigorous prediction of the stability of the dithered large-scale system by establishing that of the relaxed large-scale system. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this paper.
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none Zhao-yu Liu 劉詔瑜 |
author |
Zhao-yu Liu 劉詔瑜 |
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Zhao-yu Liu 劉詔瑜 Robust Fuzzy Control Design for Dithered Nonlinear Large-scale Systems with Multiple Time Delays |
author_sort |
Zhao-yu Liu |
title |
Robust Fuzzy Control Design for Dithered Nonlinear Large-scale Systems with Multiple Time Delays |
title_short |
Robust Fuzzy Control Design for Dithered Nonlinear Large-scale Systems with Multiple Time Delays |
title_full |
Robust Fuzzy Control Design for Dithered Nonlinear Large-scale Systems with Multiple Time Delays |
title_fullStr |
Robust Fuzzy Control Design for Dithered Nonlinear Large-scale Systems with Multiple Time Delays |
title_full_unstemmed |
Robust Fuzzy Control Design for Dithered Nonlinear Large-scale Systems with Multiple Time Delays |
title_sort |
robust fuzzy control design for dithered nonlinear large-scale systems with multiple time delays |
publishDate |
2011 |
url |
http://ndltd.ncl.edu.tw/handle/43057747935987327567 |
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