MDLI – Process model with input-defined parameters

Block SymbolLicensing group: STANDARD

Function Description
The MDLI block is a discrete simulator of continuous-time system with transfer function

F(s)=K0e−Ds(τ1s+1)(τ2s+1),<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mrow> <mi>F</mi><mrow><mo class="MathClass-open">(</mo><mrow><mi>s</mi></mrow><mo class="MathClass-close">)</mo></mrow> <mo class="MathClass-rel">=</mo> <mfrac><mrow><msub><mrow><mi>K</mi></mrow><mrow><mn>0</mn></mrow></msub><msup><mrow><mi>e</mi></mrow><mrow><mo class="MathClass-bin">−</mo><mi>D</mi><mi>s</mi></mrow></msup></mrow> <mrow><mrow><mo class="MathClass-open">(</mo><mrow><msub><mrow><mi>τ</mi></mrow><mrow><mn>1</mn></mrow></msub><mi>s</mi> <mo class="MathClass-bin">+</mo> <mn>1</mn></mrow><mo class="MathClass-close">)</mo></mrow><mrow><mo class="MathClass-open">(</mo><mrow><msub><mrow><mi>τ</mi></mrow><mrow><mn>2</mn></mrow></msub><mi>s</mi> <mo class="MathClass-bin">+</mo> <mn>1</mn></mrow><mo class="MathClass-close">)</mo></mrow></mrow></mfrac><mo class="MathClass-punc">,</mo> </mrow></math>

where $K_{0} > 0$ is the static gain k0, $D \geq 0$ is the time-delay del and $τ_{1}, τ_{2} > 0$ are the system time-constants tau1 and tau2. In contrary to the MDL block the system is time variant. The system parameters are determined by the input signals.

Inputs

u	Analog input of the block $⊙$ 0.0	Double (F64)
k0	Static gain $⊙$ 0.0	Double (F64)
del	Dead time [s] $⊙$ 0.0	Double (F64)
tau1	The first time constant $⊙$ 0.0	Double (F64)
tau2	The second time constant $⊙$ 0.0	Double (F64)

Output

y	Analog output of the block	Double (F64)

Parameters

nmax	Size of delay buffer (number of samples) for the time delay del. Used for internal memory allocation. $↓$ 10 $↑$ 10000000 $⊙$ 1.00E+03	Long (I32)

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