modelBasic

Comparison of the basic continuous and discrete time blocks

▶ Simulate in your browser

Extends from Modelica.Icons.Example (Icon for runnable examples).

Information

Description of the example

In this example are shown the step responces of various basic linear systems:

integrator,
first order,
lead lag,
and complex poles

For each continuous time system there is its discretised version. It is possible to modify the discretisation methods
as well the sampling time in order to see the changes.

Continuous time

Discrete time (Forward Euler)

Parameters

Type	Name	Default	Description
Integrator
Real	mu_int	0.04	Integrating process gain
Real	y_start_int	1	Integrating process initial condition
First Order
Real	mu_FO	2	First order process gain
Real	tau_FO	3	First order time constant
Real	y_start_FO	0	initial condition
Lead Lag
Real	mu_LL	2	Lead Lag process gain
Real	y_start_LL	0	Lead Lag initial condition
Real	T1_LL	2	Lead Lag time constant of the zero
Real	T2_LL	3	Lead Lag time constant of the pole
Complex poles
Real	mu_cpx	2	Complex poles process gain
Real	omegan_cpx	1	Complex poles natural frequency
Real	xi_cpx	0.4	Complex poles dumping factor
Real	y_start_cpx	0	Complex poles initial value
Real	dy_start_cpx	0	Complex poles initial slope
Discretisation
Real	Ts	0.5	Sampling time
IndustrialControlSystems.LinearSystems.Discrete.Types.discrMethod	method	IndustrialControlSystems.LinearSystems.Discrete.Types.discrMethod.FE	Method

Components

Type	Name	Default	Description
Continuous.Integrator	int
Discrete.Integrator	int_dig
Continuous.FirstOrder	fO
Discrete.FirstOrder	fO_dig
Continuous.LeadLag	lLag
Discrete.LeadLag	lLag_dig
Modelica.Blocks.Sources.Step	stepSignal
Continuous.ComplexPoles	complexPoles
Discrete.ComplexPoles	complexPoles_dig

Revisions

Industrial Control Systems (v 1.0.0) : April-May 2012