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Introduction to LabVIEW Control Design Toolkit by Finn Haugen ...

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Norm<br />

Covariance Response<br />

Total Delay<br />

Distribute Delay<br />

Parametric Time Response<br />

The State Space Model Analysis palette, with the following functions:<br />

<strong>Control</strong>lability Matrix<br />

Observability Matrix<br />

Grammians<br />

Canonical State-Space Realization<br />

Balance State-Space Model (Diagonal)<br />

Balance State-Space Model (Grammians)<br />

<strong>Control</strong>lability Staircase<br />

Observability Staircase<br />

State Similarity Transform<br />

The State Feedback <strong>Design</strong> palette, with the following functions:<br />

Ackermann<br />

Pole Placement<br />

Linear Quadratic Regula<strong>to</strong>r<br />

Kalman Gain<br />

State Estima<strong>to</strong>r<br />

State-Space <strong>Control</strong>ler<br />

Augment Output with States<br />

3 Creating models<br />

3.1 Creating and displaying continuous-time (s-)transfer functions<br />

The Model Construction palette contains several functions for creating models. The resulting<br />

model is represented as a cluster. This cluster can be used as input argument <strong>to</strong> other functions,<br />

e.g. for simulation, frequency response analysis, etc.<br />

On the Model Construction palette there are also functions for displaying the transfer function<br />

nicely on the front panel.<br />

Example 3.1.1: Creating and displaying a continuous-time (s-)transfer function<br />

The VI shown below creates the following transfer function using the CD Construct Transfer<br />

Function Model function (CD means <strong>Control</strong> <strong>Design</strong>):<br />

H(s) = e -4s 3/(1+2s) = e -4s 3s 0 /(1s 0 +2s 1 )<br />

(a first order transfer function with gain 3, time constant 2, and time delay 4s). In the VI the CD<br />

Draw Transfer Function function displays the transfer function nicely in on the front panel<br />

(using a picture indica<strong>to</strong>r which can be created <strong>by</strong> right-clicking on the Equation output of the<br />

function).

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