CL Discrete Second Order Low Pass Filter

Owning Palette: Discrete

Requirements: Quanser Rapid Control Prototyping Toolkit, LabVIEW 2020 or newer, Control Design and Simulation Module

Description

Models, in the discrete-time domain, a second-order low-pass filter characterized by a cut-off frequency and a damping ratio.

Recommended Inputs or Dialog Box Options Recommended inputs need not to be wired. They may be selected to appear as terminals or dialog parameters, but show up as terminals by default. They appear in simple text in the context help window for the VI.

x is the input signal to the second-order low-pass filter.

cut-off frequency is the cut-off frequency (in radians per second, i.e., rad/s) of the second-order low-pass filter.

damping ratio is the damping ratio of the second-order low-pass filter.

x0 is the input signal initial condition to the second-order low-pass filter.

sample time (in seconds, i.e., s) of the VI.

Outputs

	y is the (filtered) output signal from the second-order low-pass filter.
	yd is the time-derivative of the output signal from the second-order low-pass filter.

Details

The CL Discrete Second Order Low Pass Filter VI models, in the discrete-time domain, a second-order low-pass filter characterized by a cut-off frequency and a damping ratio. The filtered output is always continuous even after any parameter change (e.g., cut-off frequency and/or damping ratio).

The block diagram for this VI is shown below:

where ω_n is the cut-off frequency and ζ is the damping ratio.

Feedthrough Behaviour

All input/output pairs of this function have direct feedthrough behaviour.

Examples

RCP CL Discrete Second Order Low Pass Filter Example

Targets

Target	Supported	Comments
RCP Windows (64-bit) Target	Yes	Fully supported.

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