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The controller parameters are typically matched to the process characteristics and since the process may change, it is important that the controller parameters are chosen in such a way that the closed loop system is not sensitive to variations in process dynamics. One way to characterize sensitivity is through the nominal sensitivity peak : where and denote the plant and controller's transfer function in a basic closed loop control system written in the Laplace domain using unity negative feedback. of the plant, the transfer functions of the closed loop system are given by

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  • The controller parameters are typically matched to the process characteristics and since the process may change, it is important that the controller parameters are chosen in such a way that the closed loop system is not sensitive to variations in process dynamics. One way to characterize sensitivity is through the nominal sensitivity peak : where and denote the plant and controller's transfer function in a basic closed loop control system written in the Laplace domain using unity negative feedback. The sensitivity function , which appears in the above formula also describes the transfer function from external disturbance to process output. In fact, assuming an additive disturbance n after the output of the plant, the transfer functions of the closed loop system are given by Hence, lower values of suggest further attenuation of the external disturbance. The sensitivity function tells us how the disturbances are influenced by feedback. Disturbances with frequencies such that is less than one are reduced by an amount equal to the distance to the critical point and disturbances with frequencies such that is larger than one are amplified by the feedback. It is important that the largest value of the sensitivity function be limited for a control system and it is common to require that the maximum value of the sensitivity function, , be in a range of 1.3 to 2. (en)
  • Wrażliwość, wrażliwość układu − w teorii sterowania, parametr określony danym wejściem i wyjściem układu. Wrażliwość mierzy jak duże zmiany na wyjściu układu powodują małe zmiany sygnału odniesienia na wejściu. Układy wrażliwe charakteryzują się powstawaniem bardzo dużych zmiany na wyjściu w odpowiedzi na niewielkie tylko zmiany na wejściu. Wrażliwość systemu na sygnał wejściowy oznacza się jako: (pl)
  • 敏感度(sensitivity)也稱為靈敏度,是控制系統的特性,是指控制系統容易受外部干擾或是參數變異而影響的程度。敏感度越大,表示控制系統容易被干擾或變異所影響。 控制器的參數一般會配合製程特性,因為製程可能會變化,因此控制器的參數需經過考量,減少因製程動態特性變化而影響閉迴路控制系統的特性。有一種量測敏感度的方式是正規敏感度峰值(nominal sensitivity peak): 其中及是受控體及控制的傳遞函數,系統是負回授閉迴路控制系統,增益為1。 出現在上式的敏感度函數也描述了從外擾到製程輸出的傳遞函數。較低表示對外擾的抑制能力越強。敏感度函數可以看出回授受到外擾影響的程度。 控制系統中的敏感度函數最大值需要受到限制,一般常見的要求是需在1.3到2之間。 (zh)
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  • Wrażliwość, wrażliwość układu − w teorii sterowania, parametr określony danym wejściem i wyjściem układu. Wrażliwość mierzy jak duże zmiany na wyjściu układu powodują małe zmiany sygnału odniesienia na wejściu. Układy wrażliwe charakteryzują się powstawaniem bardzo dużych zmiany na wyjściu w odpowiedzi na niewielkie tylko zmiany na wejściu. Wrażliwość systemu na sygnał wejściowy oznacza się jako: (pl)
  • 敏感度(sensitivity)也稱為靈敏度,是控制系統的特性,是指控制系統容易受外部干擾或是參數變異而影響的程度。敏感度越大,表示控制系統容易被干擾或變異所影響。 控制器的參數一般會配合製程特性,因為製程可能會變化,因此控制器的參數需經過考量,減少因製程動態特性變化而影響閉迴路控制系統的特性。有一種量測敏感度的方式是正規敏感度峰值(nominal sensitivity peak): 其中及是受控體及控制的傳遞函數,系統是負回授閉迴路控制系統,增益為1。 出現在上式的敏感度函數也描述了從外擾到製程輸出的傳遞函數。較低表示對外擾的抑制能力越強。敏感度函數可以看出回授受到外擾影響的程度。 控制系統中的敏感度函數最大值需要受到限制,一般常見的要求是需在1.3到2之間。 (zh)
  • The controller parameters are typically matched to the process characteristics and since the process may change, it is important that the controller parameters are chosen in such a way that the closed loop system is not sensitive to variations in process dynamics. One way to characterize sensitivity is through the nominal sensitivity peak : where and denote the plant and controller's transfer function in a basic closed loop control system written in the Laplace domain using unity negative feedback. of the plant, the transfer functions of the closed loop system are given by (en)
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  • Wrażliwość (automatyka) (pl)
  • Sensitivity (control systems) (en)
  • 敏感度 (控制系統) (zh)
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