Gain Scheduled Lead-Lag

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

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Libraries:
Aerospace Blockset / GNC / Control

Description

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

$$u=\frac{1+as}{1+bs}e$$

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

The coefficients a and b are inputs to the block. These values can depend on the flight condition or operating point. For example, you can produce them from the Lookup Table (n-D) Simulink^® block.

Ports

Input

e — Filter input

scalar

Filter input, specified as a scalar.

Data Types: single | double | int8 | int16 | int32 | uint8 | uint16 | uint32 | Boolean | fixed point | enumerated | bus

a — Numerator coefficient

scalar

Numerator coefficient, specified as a scalar.

Data Types: single | double | int8 | int16 | int32 | uint8 | uint16 | uint32 | Boolean | fixed point | enumerated | bus

b — Denominator coefficient

positive scalar

Denominator coefficient, specified as a positive scalar.

Data Types: single | double | int8 | int16 | int32 | uint8 | uint16 | uint32 | Boolean | fixed point | enumerated | bus

Output

u — Filter output

scalar

Filter output, specified as a scalar.

Data Types: single | double | int8 | int16 | int32 | uint8 | uint16 | uint32 | Boolean | fixed point | enumerated | bus

Parameters

Initial state, x_initial — Initial internal state

0 (default) | vector

Initial internal state, specified as a vector, for the filter x_initial. Given this initial state, the initial output is given by

$${u|}_{t=0}=\frac{x\_initial+ae}{b}$$

Programmatic Use

Block Parameter: initial state, x_initial

Type: character vector

Values: vector

Default: '0'

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced before R2006a