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.

Input

u	Analog input of the block $⊙$ 0.0	Double (F64)

Output

y	Analog output of the block	Double (F64)

Parameters

k0	Static gain $⊙$ 1.0	Double (F64)
del	Dead time [s] $⊙$ 0.0	Double (F64)
tau	Time constant $⊙$ 1.0	Double (F64)
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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