NSCL – Nonlinear scaling factor

Block SymbolLicensing group: STANDARD

Function Description
The NSCL block compensates common nonlinearities of the real world (e.g. the servo valve nonlinearity) by using the formula

y=gainuze+(1−ze)⋅u,<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mrow> <mstyle class="text"><mtext class="texttt" mathvariant="monospace">y</mtext></mstyle> <mo class="MathClass-rel">=</mo> <mstyle class="text"><mtext class="texttt" mathvariant="monospace">gain</mtext></mstyle> <mfrac><mrow><mstyle class="text"><mtext class="texttt" mathvariant="monospace">u</mtext></mstyle></mrow> <mrow><mstyle class="text"><mtext class="texttt" mathvariant="monospace">ze</mtext></mstyle> <mo class="MathClass-bin">+</mo> <mrow><mo class="MathClass-open">(</mo><mrow><mn>1</mn> <mo class="MathClass-bin">−</mo><mstyle class="text"><mtext class="texttt" mathvariant="monospace">ze</mtext></mstyle></mrow><mo class="MathClass-close">)</mo></mrow> <mo class="MathClass-bin">⋅</mo><mstyle class="text"><mtext class="texttt" mathvariant="monospace">u</mtext></mstyle></mrow></mfrac><mo class="MathClass-punc">,</mo> </mrow></math>

where gain and ze are the parameters of the block. The choice of ze within the interval $(0, 1)$ leads to concave transformation, while $ze > 1$ gives a convex transformation.

Input

u	Analog input of the block	Double (F64)

Output

y	Analog output of the block	Double (F64)

Parameters

gain	Signal gain $⊙$ 1.0	Double (F64)
ze	Shaping parameter $⊙$ 1.0	Double (F64)

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