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Gain Scheduled Lead-Lag

Implement first-order lead-lag with gain-scheduled coefficients

Library

GNC/Controls

Description

The Gain Scheduled Lead-Lag block implements a first-order lag of the form

u=1+as1+bse

where e is the filter input, and u the filter output.

The coefficients a and b are inputs to the block, and hence can be made dependent on flight condition or operating point. For example, they could be produced from the Lookup Table (n-D) (Simulink) Simulink® block.

Parameters

Initial state, x_initial

The initial internal state for the filter x_initial. Given this initial state, the initial output is given by

u|t=0=x_initial+aeb

Inputs and Outputs

InputDimension TypeDescription

First

 Contains the filter input.

Second

 Contains the numerator coefficient.

Third

 Contains the denominator coefficient.

OutputDimension TypeDescription

First

 Contains the filter output.

Introduced before R2006a

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