modelComplexPoles

Process with complex poles

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

Information

Discretised version of the continuous time transfer function of a process with complex poles.

   Y(s)                      1
   ----  = mu ------------------------------------
   U(s)        (1 + s*2*xi/omegan + (s/omegan)^2)

The damping coefficient xi must be between [0,1].

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	xi	0.8	Damping coefficient
Real	omegan	0.1	Natural frequency
Real	mu	1	Gain
Initial conditions
Real	y_start	0	Output initial value
Real	dy_start	0	Slope initial value

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