Frequency Response and Controller Design

E6.3.4.4

System

The experiments are set up with experiment plates in profile frames. The Profi-CASSY is used to drive these technical controlled systems as well as for recording and analysis of measurement values.

Educational objectives

Measurement of frequency responses
Discussion of controller systems in the frequency range

Function
The frequency response of a system is usually illustrated graphically, for which there are two different graphing methods called the Bode plot and the Nyquist plot. With this setup, frequency responses of real transfer components are measured and recorded. For a PT3 controlled system, a PI controller is designed in accordance with the compensation method. In the Bode diagram, the stability of the closed control circuit is determined from the phase margin of the open circuit.

The equipment set incorporates student experiments which can be carried out in a laboratory safely using safety extra-low voltage. Experiment instructions are contained in a manual in either printed or digital form.

Target groups
A training program made for the advanced training study programs at applied technology universities and technical universities. Knowledge of classic control engineering is a prerequisite.

Add-ons
The following sets are recommended for further learning:
E 6.3.4.1 Controlling Electronic Systems
E 6.3.4.2 Digital Controlling
E 6.3.4.3 Fuzzy Controlling

Topics

Graphic illustration of the frequency response
Frequency responses, fundamental controller components, (P, PT1,PT2, PTt, I)
Frequency response of oscillating PT2 component
Frequency response of the PTt dead time component
Frequency response of the I component
Frequency response of series connections
Frequency response of a PID controller
Stability of control circuits
Controller design in the frequency range

1	734 064N 8	PID digital controller net
2	734 091	Digital Controlled System
1	734 0891 8	Dead time element
1	734 0951 8	2^nd Order transfer element
1	734 501 4	WINFACT LD Starter (one computer)
1	734 502 4	WINFACT LD Starter (site license)
1	524 016S2 8	Profi-CASSY Starter 2
1	726 09 4	Panel frame T130, two-level
1	726 86 4	Stabilised power supply unit ±15 V / 3 A
1	500 59 8	Safety bridging plugs, black, set of 10
1	500 592 8	Safety bridging plugs with tap, black, set of 10
2	500 641 8	Safety experiment cable, 100 cm, red
2	500 642 4	Safety experiment cable, 100 cm, blue
2	500 644 8	Safety experiment cable, 100 cm, black
1	500 612 4	Safety experiment cable, 25 cm, blue
1	775 720DE 4	LIT-print: Frequency Response of Linear Systems and Controller Design in the Frequency Domain, German
1	726 10 4	* Panel frame T150, two-level
1	775 720EN 4	* LIT-print: Frequency Response of Linear Systems and Controller Design in the Frequency Domain
1	734 504	* WINFACT LD Edition (one computer)
1	734 505 4	* WINFACT LD Edition (Site Licence)
1		additionally required: 1 PC with Windows 7 / 8.1 / 10 (x86 or x64)

Articles marked with * are not essential, we do however recommend them to carry out the experiment.

Frequency Response and Controller Design

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