Implement first-order lead-lag with gain-scheduled coefficients
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.
The initial internal state for the filter
Given this initial state, the initial output is given by
|Contains the filter input.|
|Contains the numerator coefficient.|
|Contains the denominator coefficient.|
|Contains the filter output.|