### LLC – Lead-lag compensator

Block SymbolLicensing group: STANDARD

Function Description
The LLC block is a discrete simulator of integral-derivative element

$C\left(s\right)=\frac{\mathtt{\text{a}}\ast \mathtt{\text{tau}}\ast s+1}{\mathtt{\text{tau}}\ast s+1},$

where tau is the denominator time constant and the time constant of numerator is an a-multiple of tau $\left(\mathtt{\text{a}}\ast \mathtt{\text{tau}}\right)$. If $\mathtt{\text{ISSF}}=\mathtt{\text{on}}$, then the state of the filter is set to the steady value at the block initialization according to the input signal u.

The exact discretization at the sampling instants is used for discretization of the $C\left(s\right)$ transfer function. The sampling period used for discretization is equivalent to the execution period of the LLC block.

Input

 u Analog input of the block Double (F64)

Output

 y Analog output of the block Double (F64)

Parameters

 tau Time constant  $\odot$1.0 Double (F64) a Numerator time constant coefficient Double (F64) ISSF Steady state at start-up Bool off .. Zero initial state on ... Initial steady state

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