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H-infinity loop-shaping is a design method … H-infinity loop-shaping is a design methodology in modern control theory. It combines the traditional intuition of classical control methods, such as Bode's sensitivity integral, with H-infinity optimization techniques to achieve controllers whose stability and performance properties hold despite bounded differences between the nominal plant assumed in design and the true plant encountered in practice. Essentially, the control system designer describes the desired responsiveness and noise-suppression properties by weighting the plant transfer function in the frequency domain; the resulting 'loop-shape' is then 'robustified' through optimization. Robustification usually has little effect at high and low frequencies, but the response around unity-gain crossover is adjusted to maximise the system's stability margins. H-infinity loop-shaping can be applied to multiple-input multiple-output (MIMO) systems. H-infinity loop-shaping can be carried out using commercially available software. H-infinity loop-shaping has been successfully deployed in industry. In 1995, R. Hyde, K. Glover and G. T. Shanks published a paper describing the successful application of the technique to a VTOL aircraft. In 2008, D. J. Auger, S. Crawshaw and S. L. Hall published another paper describing a successful application to a steerable marine radar tracker, noting that the technique had the following benefits:
* Easy to apply – commercial software handles the hard math.
* Easy to implement – standard transfer functions and state-space methods can be used.
* Plug and play – no need for re-tuning on an installation-by-installation basis. A closely related design methodology, developed at about the same time, was based on the theory of the gap metric. It was applied in 1993 for designing controllers to dampen vibrations in large flexible structures at Wright-Patterson Air Force Base and Jet Propulsion Laboratoryr Force Base and Jet Propulsion Laboratory
, H-infinity迴路成形（H-infinity loop-shaping）是現代 … H-infinity迴路成形（H-infinity loop-shaping）是現代控制理论中的一種設計方法，結合了傳統的控制分析方式（例如波德靈敏度積分）及H-infinity最佳化技術，目的是讓控制器的穩定性及性能都維持在良好的水準，不過實際上的受控系統和設計時理想系統的誤差需要在一定範圍內。基本上，控制系統的設計者透過在頻域上受控系統傳遞函數上不同頻段的加權來描述理想的系統響應以及雜訊抑制能力。所得的迴路成形會再經過最佳化進行「強健處理」（robustified）。強健處理在高頻及低頻的影響不大，不過在單位增益附近的響應會再作調整，讓系統的穩定相位裕度可以達到最大值。H-infinity迴路成形可以用在多重輸入多重輸出（MIMO）系統。 H-infinity迴路成形可以用商用軟體達成。 H-infinity迴路成形曾由工業界多次提出。R. Hyde、K. Glover和G. T. Shanks在1995年曾發表論文描述成功的將此技術用在VSTOL飛行器上。D. J. Auger、S. Crawshaw和S. L. Hall在2008年發表另一篇論文提出另一個應用在可操縱的海洋雷達跟踪儀上，並且提出此技術有以下的好處：
* 容易應用：有商用軟體處理複雜的數學問題。
* 容易實現：可以用標準的傳遞函數及狀態空間法表示。
* 立即可用：不需針對每個架設的設備進行重新的調適。的傳遞函數及狀態空間法表示。
* 立即可用：不需針對每個架設的設備進行重新的調適。
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H-infinity loop-shaping is a design method … H-infinity loop-shaping is a design methodology in modern control theory. It combines the traditional intuition of classical control methods, such as Bode's sensitivity integral, with H-infinity optimization techniques to achieve controllers whose stability and performance properties hold despite bounded differences between the nominal plant assumed in design and the true plant encountered in practice. Essentially, the control system designer describes the desired responsiveness and noise-suppression properties by weighting the plant transfer function in the frequency domain; the resulting 'loop-shape' is then 'robustified' through optimization. Robustification usually has little effect at high and low frequencies, but the response around unity-gain crossover is adjusted to maximise the syn crossover is adjusted to maximise the sy
, H-infinity迴路成形（H-infinity loop-shaping）是現代 … H-infinity迴路成形（H-infinity loop-shaping）是現代控制理论中的一種設計方法，結合了傳統的控制分析方式（例如波德靈敏度積分）及H-infinity最佳化技術，目的是讓控制器的穩定性及性能都維持在良好的水準，不過實際上的受控系統和設計時理想系統的誤差需要在一定範圍內。基本上，控制系統的設計者透過在頻域上受控系統傳遞函數上不同頻段的加權來描述理想的系統響應以及雜訊抑制能力。所得的迴路成形會再經過最佳化進行「強健處理」（robustified）。強健處理在高頻及低頻的影響不大，不過在單位增益附近的響應會再作調整，讓系統的穩定相位裕度可以達到最大值。H-infinity迴路成形可以用在多重輸入多重輸出（MIMO）系統。 H-infinity迴路成形可以用商用軟體達成。 H-infinity迴路成形曾由工業界多次提出。R. Hyde、K. Glover和G. T. Shanks在1995年曾發表論文描述成功的將此技術用在VSTOL飛行器上。D. J. Auger、S. Crawshaw和S. L. Hall在2008年發表另一篇論文提出另一個應用在可操縱的海洋雷達跟踪儀上，並且提出此技術有以下的好處：
* 容易應用：有商用軟體處理複雜的數學問題。
* 容易實現：可以用標準的傳遞函數及狀態空間法表示。
* 立即可用：不需針對每個架設的設備進行重新的調適。的傳遞函數及狀態空間法表示。
* 立即可用：不需針對每個架設的設備進行重新的調適。
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H-infinity loop-shaping
, H-infinity迴路成形
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