FOPDT – First order plus dead-time model

Block SymbolLicensing group: STANDARD

Function Description
The FOPDT block is a discrete simulator of a first order continuous-time system with time delay, which can be described by the transfer function below:

P (s) = \frac{k0}{(tau \cdot s + 1)} \cdot e^{- del \cdot s}

The exact discretization at the sampling instants is used for discretization of the $P (s)$ transfer function. The sampling period used for discretization is equivalent to the execution period of the FOPDT block.

This block propagates the signal quality. More information can be found in the 1.4 section.

Input

u	Analog input of the block	Double (F64)

Parameter

k0	Static gain $⊙$ 1.0	Double (F64)
del	Dead time [s]	Double (F64)
tau	Time constant $⊙$ 1.0	Double (F64)
nmax	Allocated size of array $↓$ 10 $↑$ 10000000 $⊙$ 1000	Long (I32)

Output

y	Analog output of the block	Double (F64)

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