modelTwoPolesTwoZeroes

Process with an integrator, 1 pole and 2 zeroes: mu(1+sT1)(1+sT2)/(1+sT3)s

Extends from Interfaces.DiscreteBaseBlock (Partial discrete time block interfaces).

Information

Discretised version of the continuous time transfer function of a process with an integrator, one pole and two zeroes.

   Y(s)        (1 + s*T1)*(1 + s*T2)
   ----  = mu ----------------------
   U(s)            s*(1 + s*T3)

The time constants T1 and T2 must be different from T3.

The discretisation of the continuos time transfer function has been performed with the bilinear transformation formula

                 z - 1 
  s = ------------------------------
        z*alpha*Ts - (alpha - 1)*Ts

that is equivalent to

Type	Name	Default	Description
Discretisation
Real	Ts (from DiscreteBaseBlock)	0.01	Sampling time [s]
IndustrialControlSystems.LinearSystems.Discrete.Types.discrMethod	method (from DiscreteBaseBlock)	IndustrialControlSystems.LinearSystems.Discrete.Types.discrMethod.BE	Discretisation method
Block parameters
Real	mu	1	Gain
Real	T1	2	first zero's time constant
Real	T2	0.03	second zero's time constant
Real	T3	0.5	pole's time constant
Initial conditions
Real	y_start	0	Output initial value

Type	Name	Default	Description
Modelica.Blocks.Interfaces.RealInput	u (from BaseBlock)		input
Modelica.Blocks.Interfaces.RealOutput	y (from BaseBlock)		output